SlideShare una empresa de Scribd logo
1 de 18
Descargar para leer sin conexión
ppr maths nbk


                                  CHAPTER 6: STATISTICS

EXERCISE 1 (Paper 1)

  1. Given that the class interval of a set of data is 6 – 9, 10 – 13, 14 – 17, ….. .
     Determine the upper boundary of the class interval 10 – 13.


                                                                         Answer:…………………..

  2. Calculate the size of class interval 36 – 40.

                                                                    Answer:……………………..
  3. Calculate the mean for the following data

                 10     9     4     30    30    29     5      8     11    18
                 21     4    32     27    13    10     2     18      6    26


                                                                    Answer:……………………..

      Questions 4 and 5 are based on the table 1. Table 1 is the frequency table which
      shows the marks obtained by 10 students in Mathematics quiz.

                        Mark         1–5      6 – 10       11- 15    16 – 20
                      Frequency       5          4           0          1
                                           Table 1

  4. Determine the modal class of the data.
                                                                    Answer:……………………..


  5. Calculate the mean of the data.
                                                                    Answer:……………………..


  6. Given that the mean of a set of data 8, 10, 7, x, 5, 5 is 6.5. Calculate the median of
     the same set data.

                                                                    Answer:……………………..



  7. Find the range of the following set of ungrouped data
     2.44, 3.69, 2.74, 1.68, 1.1
                                                                    Answer:……………………..


                                                                                              58
ppr maths nbk


   Questions 8-10 are based on the table 2.
8. Find the range of class interval the following set of grouped data in table 1


              Breadth(cm)     11 - 16       17 – 22 23 – 28      29 – 34    35 - 40
               Frequency         4             7       8            9          2
                                            TABLE 2



                                                              Answer:……………………..
9. Find the modal class of the data.


                                                              Answer:……………………..


10. Find the midpoint of the modal class.


                                                              Answer:……………………..




                                                                                       59
ppr maths nbk


                                CHAPTER 6: STATISTICS
EXERCISE 2

1.Given a set of numbers 2,4,3,4,5,6,8,x,5. Find the value of x if the
(a ) median is 4
(b) mean is 5



                            Answer: (a)……………………………….(b)…………………….


2. The table 1 below shows the scores obtained by a group of students in a quiz competition.
                    Score        1     2       3      4       5    6
                    Number of 2        3       12     8       3    2
                    students
                                         TABLE 1
Find:
    (a) the mode
    (b) the median
    (c) the mean



                                 Answer: (a)………………..(b)………….…..(c )……………

3.(a) Complete the following frequency in table 2
                         Distance (m)      Frequency     Midpoint
                         1-3               2
                         4-6               6
                         7-9               12
                         10-12             5
                         13-15             3
                                           TABLE 2
(b) Based on table 2, calculate the estimated mean distance of the data.



                                 Answer: (a)…………………….(b)………………………….

4. Find the range of the following set of data

(a) 3, 5, 8, 11, 14                              (b) 12, 13, 10, 8, 19, 25


        Answer: (a)………………………………..(b)……………………………………..


                                                                                          60
ppr maths nbk



5.The table 3 below shows the marks obtained by group of students in a Mathematics
  examination
                      Marks            40     60     75   83     88
                      Number of
                                        4      6     10    6      x
                      students
                              TABLE 3
    (a) If the mean mark is 75, find the value of x.
    (b) State the minimum value of x if the mode is 88


        Answer: (a)………………………(b)……………………………………….

6.                             16,25, 13, 26, 15, 16, 18, 17, 20, 24


For the above data, find the
   (a) range
   (b) mean

     Answer: (a)……………………(b)………………………..

7. Diagram 1 is a pie chart which shows the total number of boys and girls in two clubs.
Table 4 shows the number of boys and girls of these clubs, but is incomplete.

     Clubs    Boys       Girls
     Chess    60         50                                    Boys
     Debate   (a)        (b)
     Total    100        (c)                                    1500
           TABLE 4                                  Girls                 DIAGRAM 1

Complete the table.




Answer: (a)…………………..(b)………………..(c)………………………..


                                                                                           61
ppr maths nbk

   8. Diagram 2 is a pictograph showing the number of blood donors at a blood donation
   campaign over a period of 3 days.Given that the number of blood donors on Monday
   make up 30 % of the total blood donors over the period.

         Monday


         Tuesday


        Wednesday



        Represents 60 blood donors

                                         DIAGRAM 2
Calculate
   (a) the number of blood donors on Wednesday
   (b) the total number of blood donors the 3 days.

Answer: (a)…………………….(b)……………………

9. Table 5 shows the mass, in kg, of 40 parcels.
                                   Mass(kg) Frequency
                                   6-10          4
                                   11-15         10
                                   16-20         7
                                   21-25         10
                                   26-30         5
                                   31-35         4
                                          TABLE 5

. Calculate the:
    (a) mean mass of the parcels , in kg.
    (b) midpoint of the third class


Answer: (a)……………………(b)…………………….




                                                                                         62
ppr maths nbk

10. Table 6shows the record of overtime done by a group of workers, in hours, in a
    particular month.

                               Overtime (hours) Frequency
                               10-19            5
                               20-29            14
                               30-39            10
                               40-49            9
                               50-59            12
                                          TABLE 6

   (a)State the modal class
   (c) Find the midpoint of the modal class

Answer(a)…………………..(b)……………………




                                                                                        63
ppr maths nbk


                                 CHAPTER 6: STATISTICS
DIAGNOSTIC TEST

1. A class interval has an upper limit of 15 and lower limit of 10. The lower boundary is
       A 9.5
       B 10.5
       C 14.5
       D 15.5

2. The table 1 shows the frequency distribution of the scores of a group of players

     Score         1             2        3                  4             5            6
     Frequency     4             3        9                  x             3            2
                                         TABLE 1
   If 3 is the modal score, the maximum value of x is

       A 10
       B9
       C8
       D7

3. If the median of a set of integers, 3,8,9,x and 7 is x, the probable value of x is

       A5
       B6
       C8
       D9

4. The diagram 1 is a pictograph showing the number of durians of different grades sold
   on a particular day. The information in the pictograph is represented by a pie chart.

                 Grade A
                 durians
                 Grade B
                 durians
                 Grade C
                 durians

              Represents 50 durians             DIAGRAM 1

Calculate the angle of the sector which represents the number of grade C durians sold.

A 900
B 112.50
C 1350
D 157.50


                                                                                              64
ppr maths nbk


Questions 5 and 6 are based on table 2.
Table 2 shows the scores obtained by 12 students.

                            35        70      80     90
                            91        45      52     82
                            74        46      53     88

                                      TABLE 2
5. Find the range of the score

         A 55
         B 56
         C 57
         D5

                                                                      1
6. If x mark is added to each student as a bonus and the mean is 70     .
                                                                      6
    Find the value of x.

         A2
         B3
         C4
         D5

7. Which of the following class interval has a size of 5?
       A 1.1-1.5
       B 2.05-2.10
       C 5-9
       D 15-20

8 Find the mode for the following data

                   2, 2, 1, 3, 4, 1, 2
         A. 1
         B. 2
         C. 3
         D. 4

9
                   19, 18, 16, 15, 20, 15, 18, 16

 The median for the above set of numbers is
      A.16
      B.17
      C 18
      D 20


                                                                                      65
ppr maths nbk



10

      1111 111


     The diagram above shows a tally chart. The symbol represents the value

     A.   5
     B.   7
     C.   8
     D.   13




                                                                                 66
ppr maths nbk


                                CHAPTER 6 : STATISTICS
EXERCISE 1 ( PAPER 2)

1. The data in Diagram 1 shows the marks obtained by 30 students. By using five class
   intervals, construct a frequency table for the data.

                          11      24     31   25        22      21
                          31      36     10   44        28      27
                          35      36     35   30        13      35
                          42      14     18   18        30      16
                          17      34     34   32        20      37
                                         DIAGRAM 1

2. Complete Table 1

                                                 Lower          Upper
       Class      Lower limit    Upper limit                                  Class size
                                                boundary       boundary
      55 – 60
      61 – 66
      67 – 72
      73 - 78
                                            TABLE 1

3. Diagram 2 shows the masses of tomatoes, in kg, yielded by a farm for a period of 30
   days.

          59     59     68       50    42   46   60           57      71     47
          62     59     80       62    74   55   56           76      40     53
          36     71     74       51    83   64   44           55      51     51
                                       DIAGRAM 2

   (a) Construct a frequency table with class intervals 36 – 43, 44 – 51 and so on and then
       find the midpoint of each class.
   (b) State the modal class.
   (c) Calculate the mean mass of the tomatoes yielded by the farm per day.




                                                                                              67
ppr maths nbk

4. The data in Diagram 3 shows the number of papayas sold by Pak Ali per day for a period
   of 30 days.

                             25      45      42  36        32
                             26      20      25  32        38
                             37      31      35  22        32
                             31      40      30  27        26
                             24      28      21  33        39
                             30      28      34  29        33
                                          DIAGRAM 3

   (a) Based on the data in Diagram 3 and by using a class interval of 5, complete Table 2.

                        Class interval     Frequency       Midpoint
                           20 – 24
                           25 – 29




                                            TABLE 2

   (b) Based on Table 2, calculate the estimated mean number of papayas sold.

           24      10     36       19      19   25       26     33     16     30
           17      31     35       11      31   32       15     33     27     38
           24      18     40       35      11   20       23     27     37     34
                                          DIAGRAM 4

5. The data in Diagram 4 shows the heights, in cm, of 30 seedlings in a nursery.
   (a) State the range of the data.
   (b) Based on the data in Diagram 4, complete Table 3.

                                                                 Upper
                 Height (cm)      Frequency     Midpoint
                                                                boundary
                   10 – 16
                   17 – 23
                   24 – 30
                   31 – 37
                   38 – 44
                                           TABLE 3

   (c) Based on Table 3,
       i) state the modal class
       ii) calculate the mean height of the seedlings.


                                                                                          68
ppr maths nbk


                                     CHAPTER 6 : STATISTICS
EXERCISE 2

1.     Given a set of numbers 2, 4, 3, 4, 5, 6, 8, x , 5, .
       Find the value of x if the

        ( a ) median is 4
        ( b ) mean is 5


2.    Table 1 shows the score obtained by a group of students in a quiz competition.

                       Score                    1      2        3        4    5     6
               Number of students               2      3       12        8    3     2

                                            Table 1
      Find

       ( a ) the mode
       ( b ) the median
       ( c ) the mean



3. The data below shows the marks obtained by 40 students in a monthly test.

     99   88   75   92    58    75    80   70
     70   32   70   58    90    68    50   78
     45   89   45   93    61    81    58   65
     69   76   88   58    91    67    71   52
     55   40   80   80    39    46    61   69

     (a) Using a class interval of 10 marks , complete the following table.


       Mark                    Frequency                      Midpoint
     21 - 30
     31 - 40




                                                                                            69
ppr maths nbk

 (b) For this part of the question, use the graph paper

        By using a scale of 2 cm to 10 marks on x – axis and 2 cm to 1 student
        on y – axis , draw a frequency polygon based on the data.

  ( c ) From your answer in (a),
        (i) determine the modal class,
        (ii) calculate the estimated mean of the group of students.



4. The data below shows the mathematics test marks of 40 students.

   86    98   72   96   94    90   76   80
   92    86   93   87   81    80   83   67
   85    93   72   84   72    86   86   88
   74    75   83   85   88    69   90   79
   82    90   91   76   68    96   89   78

 (a) By using the a class interval of 5 marks , complete the following table.


          Mark                 Frequency                   Midpoint
         65 - 69
         70 - 74




(b) From the table in (a)
      (i) state the modal class,
      (ii) calculate the estimated mean mark of test.


(c) For this part of the question, use the graph paper.

    By using a scale 2 cm to 5 marks on x-axis and 2 cm to 1 student on y-axis, draw a

    histogram for the data.




                                                                                          70
ppr maths nbk

5.

             Mass ( gm )                 Frequency

               20 - 24                        0

               25 - 29                        8

               30 - 34                       10

               35 - 39                       36

               40 - 44                       48

               45 - 49                       40

               50 - 54                       27

               55 - 59                       11



     The table above shows the frequency distribution of mass of books .

     ( a ) State the midpoint of the modal class

     ( b ) Based on the table above , construct a cumulative frequency table.

     ( c ) For this part of the question, use the graph paper.

          By using a scale of 2 cm to 5 gm on x – axis and 2 cm to 20 books

          on y – axis , draw an ogive for the data .

     (d ) From your ogive in ( c ), find

           i. the interquartile range,

          ii. the number of books with length greater than 50 cm.




                                                                                          71
ppr maths nbk


                              CHAPTER 6 : STATISTICS
DIAGNOSTIC TEST


 1. Data below shows the number of papaya trees planted by 50 farmers.


     60      77     70      81     73        69    79      69     75       67
     65      71     62      66     78        76    64      71     73       79
     70      66     64      89     81        61    73      78     73       68
     68      77     74      63     71        65    87      67     63       74
     74      80     70      72     75        82    76      81     68       74


   (a) (i) Using size of class interval 5 , complete the Table 1 below.



     Class           Upper boundary      Frequency          Cumulative
     Interval                                               Frequency
     55 – 59




                                   Table 1

          (ii)    Hence , state the modal class


   (b) By using a scale of 2 cm to represent 5 trees on the x – axis and 2 cm to represent 5
       farmers on the y – axis , draw an ogive for the data above.

   (c) Based on the ogive in (b) , Osman make a conclusion that 25% of the farmers
       planted less than 56 trees.

       Determine whether the conclusion is correct or not and give a reason.




                                                                                           72
ppr maths nbk

2. Encik Shamsudin reared a total of 148 turtles. The distribution of the length of the
   turtles is shown in Table 2.


        Length (cm)             Frequency
           5–9                      9
          10 – 14                   19
          15 – 19                   29
          20 – 24                   43
          25 – 29                   30
          30 – 34                   14
          35 – 39                    4
                      Table 2

   (a) By stating the answer correct to two significant figures, calculate the mean length
       of the turtles reared.

   (b) Construct a cumulative frequency table.

       By using a scale of 2 cm to represent 5 cm on the x – axis and 2 cm
       to represent 20 turtles on the y – axis , draw an ogive for the data above

   (c) From the ogive drawn in (b), find
       (i)    the median,
       (ii)   the first quartile,
       (iii) the third quartile,
       (iv) the interquartile range.



3. The closing price, in sen, of the 50 counters traded at Bursa Malaysia on a day is given
   in Figure below..


      200     150     189       175   255    130     214     161    230       217
      169     196     208       249   124    121     180     155    144       158
      146     218     154       234   162    241     193     187    254       184
      250     178     259       198   146    182     201     160    186       183
      136     258     142       163   186    204     156     245    194       164

  (a) Determine the range of price of the 50 counters.




                                                                                              73
ppr maths nbk

 (b) Using size of class interval 20 , complete the Table 3 below.

                      Class              Mid point          Frequency
                      Interval
                      121-140




                                                 Table 3

  (c) Based on the frequency table constructed in (b) , draw a histogram for a data.


4. The heights, in cm, of 50 plants are distributed as shown in the following table.

            (a)             Height(cm)       Midpoint           Frequency
                             40 – 44                                 3
                             45 – 49                                 5
                             50 – 54                                10
                             55 – 59                                16
                             60 – 64                                 8
                             65 – 69                                 6
                             70 – 79                                 2
                     (i) Copy and complete the above table
                     (ii) Hence , calculate the mean height of the plants.

               (b)
                     Upper      39.5          44.5
                     Boundary
                     (cm)
                     Cumulative 0
                     frequency

                     (i)       Based on the information from the table in (a) , copy and complete
                               the above table.

                     (ii)      Using a scale of 2 cm to represent 5 cm on the x – axis , and 2 cm
                               to represent 5 plants on the y-axis, draw an ogive for the
                               distribution.
                               From the ogive , find
                               (a) the median
                               (b) the third quartile


                                                                                               74
ppr maths nbk

5. (a)
          Number of    8        9     10      11     12   13
          Television
          sets sold
          Number of    2        5     8       10     9    6
          Shops

         The above table gives the numbers of televisyen sets sold by 40
         electrical shops on a certain day.Find
         (i)     the mode
         (ii)    the mean of the distribution.




(b)
           Time(minutes)       Number of           Upper boundary   Cumulative
                               participants                         Frequency
              6.1 – 7 .0             8
              7.1 – 8.0             14
              8.1 – 9.0             22
             9.1 – 10.0             46
             10.1 – 11.0            38
             11.1 – 12.0            20
             12.1 – 13.0             8
             13.1 – 14.0             4
          The above table shows the frequency distribution of the times , in
          minutes, taken by 160 participants of a jogathon.Copy and complete
          the table.

  (c)      Using a scale of 2 cm to represent 1 minute on the x –axis and 2 cm
           to represent 20 participants on the y-axis, draw an ogive for this
           distribution. From the ogive , find
            (i)     the median
            (ii)    the interquartile range
            (iii) the number of prize winners , given that participants who
                    clocked less than 8.0 minutes were given prizes.




                                                                                 75

Más contenido relacionado

La actualidad más candente

Sains spm trial kertas 2 2013
Sains spm trial kertas 2 2013 Sains spm trial kertas 2 2013
Sains spm trial kertas 2 2013 Smk Gelam
 
Mathematics Mid Year Form 4 Paper 2 2010
Mathematics Mid Year Form 4 Paper 2 2010Mathematics Mid Year Form 4 Paper 2 2010
Mathematics Mid Year Form 4 Paper 2 2010sue sha
 
المراجعة النهائية فى الماث للشهادة الابتدائية الترم الأول لمدرسة الكمال
المراجعة النهائية فى الماث للشهادة الابتدائية الترم الأول لمدرسة الكمال المراجعة النهائية فى الماث للشهادة الابتدائية الترم الأول لمدرسة الكمال
المراجعة النهائية فى الماث للشهادة الابتدائية الترم الأول لمدرسة الكمال أمنية وجدى
 
Tenth class-state syllabus-model paper-em-ap-mathematics
Tenth class-state syllabus-model paper-em-ap-mathematicsTenth class-state syllabus-model paper-em-ap-mathematics
Tenth class-state syllabus-model paper-em-ap-mathematicsNaukriTuts
 
Math teachers guide_1 (1)
Math teachers guide_1 (1)Math teachers guide_1 (1)
Math teachers guide_1 (1)Brandanlee
 
K to 12 - Grade 8 Math Learner Module
K to 12 - Grade 8 Math Learner ModuleK to 12 - Grade 8 Math Learner Module
K to 12 - Grade 8 Math Learner ModuleNico Granada
 
Battle of the Brain Mathematics for Grade 7, K to 12
Battle of the Brain Mathematics for Grade 7, K to 12Battle of the Brain Mathematics for Grade 7, K to 12
Battle of the Brain Mathematics for Grade 7, K to 12Yojam Mhajhoye Ebora Garcia
 
Module 8 Statistics
Module 8 StatisticsModule 8 Statistics
Module 8 Statisticsguestcc333c
 
Pssa math prep
Pssa math prepPssa math prep
Pssa math prepvancem
 
Module 14 Probability
Module 14  ProbabilityModule 14  Probability
Module 14 Probabilityguestcc333c
 
Koleksi soalan matematik spm
Koleksi soalan matematik spmKoleksi soalan matematik spm
Koleksi soalan matematik spmruhanaahmad
 

La actualidad más candente (16)

Kelantan mtambahan + skema
Kelantan mtambahan + skemaKelantan mtambahan + skema
Kelantan mtambahan + skema
 
Math Talino
Math TalinoMath Talino
Math Talino
 
Sains spm trial kertas 2 2013
Sains spm trial kertas 2 2013 Sains spm trial kertas 2 2013
Sains spm trial kertas 2 2013
 
Mathematics Mid Year Form 4 Paper 2 2010
Mathematics Mid Year Form 4 Paper 2 2010Mathematics Mid Year Form 4 Paper 2 2010
Mathematics Mid Year Form 4 Paper 2 2010
 
المراجعة النهائية فى الماث للشهادة الابتدائية الترم الأول لمدرسة الكمال
المراجعة النهائية فى الماث للشهادة الابتدائية الترم الأول لمدرسة الكمال المراجعة النهائية فى الماث للشهادة الابتدائية الترم الأول لمدرسة الكمال
المراجعة النهائية فى الماث للشهادة الابتدائية الترم الأول لمدرسة الكمال
 
Tenth class-state syllabus-model paper-em-ap-mathematics
Tenth class-state syllabus-model paper-em-ap-mathematicsTenth class-state syllabus-model paper-em-ap-mathematics
Tenth class-state syllabus-model paper-em-ap-mathematics
 
Math teachers guide_1 (1)
Math teachers guide_1 (1)Math teachers guide_1 (1)
Math teachers guide_1 (1)
 
K to 12 - Grade 8 Math Learner Module
K to 12 - Grade 8 Math Learner ModuleK to 12 - Grade 8 Math Learner Module
K to 12 - Grade 8 Math Learner Module
 
Battle of the Brain Mathematics for Grade 7, K to 12
Battle of the Brain Mathematics for Grade 7, K to 12Battle of the Brain Mathematics for Grade 7, K to 12
Battle of the Brain Mathematics for Grade 7, K to 12
 
Module 8 Statistics
Module 8 StatisticsModule 8 Statistics
Module 8 Statistics
 
Ssc j en 2015 ee solved paper
Ssc j en 2015 ee solved paperSsc j en 2015 ee solved paper
Ssc j en 2015 ee solved paper
 
Pssa math prep
Pssa math prepPssa math prep
Pssa math prep
 
Rota Quiz Lb Slide
Rota Quiz Lb SlideRota Quiz Lb Slide
Rota Quiz Lb Slide
 
Module 14 Probability
Module 14  ProbabilityModule 14  Probability
Module 14 Probability
 
Penaakulan logik
Penaakulan logikPenaakulan logik
Penaakulan logik
 
Koleksi soalan matematik spm
Koleksi soalan matematik spmKoleksi soalan matematik spm
Koleksi soalan matematik spm
 

Destacado

Клонирование интернет-магазинов. Сайты-аффилиаты
Клонирование интернет-магазинов. Сайты-аффилиатыКлонирование интернет-магазинов. Сайты-аффилиаты
Клонирование интернет-магазинов. Сайты-аффилиатыVladyslava Rykova
 
101文化之旅雲林節目表
101文化之旅雲林節目表101文化之旅雲林節目表
101文化之旅雲林節目表中心 雲
 
New programme (corrected)
New programme (corrected)New programme (corrected)
New programme (corrected)hayat alishah
 
Session 5-1-darrel-webber-increasing-the-effectiveness-of-the-rspo-1482
Session 5-1-darrel-webber-increasing-the-effectiveness-of-the-rspo-1482Session 5-1-darrel-webber-increasing-the-effectiveness-of-the-rspo-1482
Session 5-1-darrel-webber-increasing-the-effectiveness-of-the-rspo-1482ZSL Biodiversity & Palm Oil Platform
 
101年b類社區營造點社區生活館常態展及特展節目表 整
101年b類社區營造點社區生活館常態展及特展節目表 整101年b類社區營造點社區生活館常態展及特展節目表 整
101年b類社區營造點社區生活館常態展及特展節目表 整中心 雲
 
Digital literacy.
Digital literacy.Digital literacy.
Digital literacy.ajvank01
 
Podcasting 2
Podcasting 2Podcasting 2
Podcasting 2cartiff
 
Podcasting
PodcastingPodcasting
Podcastingcartiff
 
318157119 the-village
318157119 the-village318157119 the-village
318157119 the-villagehayat alishah
 
To rs for consultancy environment firm tourism projects
To rs for consultancy environment firm tourism projectsTo rs for consultancy environment firm tourism projects
To rs for consultancy environment firm tourism projectshayat alishah
 
Presentazione magnacarta18.10.2012
Presentazione magnacarta18.10.2012Presentazione magnacarta18.10.2012
Presentazione magnacarta18.10.2012Stefano Zoffoli
 
Po cm summary malamjabba shangla
Po cm summary malamjabba shanglaPo cm summary malamjabba shangla
Po cm summary malamjabba shanglahayat alishah
 
Русский север, наследие (2010 год)
Русский север, наследие (2010 год)Русский север, наследие (2010 год)
Русский север, наследие (2010 год)Балтийская Муза
 
Minutes issued by the secretary meeting held on 5 aug, 2014
Minutes issued by the secretary meeting held on 5 aug, 2014Minutes issued by the secretary meeting held on 5 aug, 2014
Minutes issued by the secretary meeting held on 5 aug, 2014hayat alishah
 

Destacado (20)

Клонирование интернет-магазинов. Сайты-аффилиаты
Клонирование интернет-магазинов. Сайты-аффилиатыКлонирование интернет-магазинов. Сайты-аффилиаты
Клонирование интернет-магазинов. Сайты-аффилиаты
 
101文化之旅雲林節目表
101文化之旅雲林節目表101文化之旅雲林節目表
101文化之旅雲林節目表
 
New programme (corrected)
New programme (corrected)New programme (corrected)
New programme (corrected)
 
Lam quen MediaWiki phan 1
Lam quen MediaWiki phan 1Lam quen MediaWiki phan 1
Lam quen MediaWiki phan 1
 
Session 5-1-darrel-webber-increasing-the-effectiveness-of-the-rspo-1482
Session 5-1-darrel-webber-increasing-the-effectiveness-of-the-rspo-1482Session 5-1-darrel-webber-increasing-the-effectiveness-of-the-rspo-1482
Session 5-1-darrel-webber-increasing-the-effectiveness-of-the-rspo-1482
 
101年b類社區營造點社區生活館常態展及特展節目表 整
101年b類社區營造點社區生活館常態展及特展節目表 整101年b類社區營造點社區生活館常態展及特展節目表 整
101年b類社區營造點社區生活館常態展及特展節目表 整
 
Digital literacy.
Digital literacy.Digital literacy.
Digital literacy.
 
Podcasting 2
Podcasting 2Podcasting 2
Podcasting 2
 
Podcasting
PodcastingPodcasting
Podcasting
 
318157119 the-village
318157119 the-village318157119 the-village
318157119 the-village
 
Haza dfr.mak
Haza dfr.makHaza dfr.mak
Haza dfr.mak
 
To rs for consultancy environment firm tourism projects
To rs for consultancy environment firm tourism projectsTo rs for consultancy environment firm tourism projects
To rs for consultancy environment firm tourism projects
 
Presentazione magnacarta18.10.2012
Presentazione magnacarta18.10.2012Presentazione magnacarta18.10.2012
Presentazione magnacarta18.10.2012
 
Po cm summary malamjabba shangla
Po cm summary malamjabba shanglaPo cm summary malamjabba shangla
Po cm summary malamjabba shangla
 
Русский север, наследие (2010 год)
Русский север, наследие (2010 год)Русский север, наследие (2010 год)
Русский север, наследие (2010 год)
 
Session 2-2-sophie-persey-can-oil-palm-biodiversity-co-exist-1481
Session 2-2-sophie-persey-can-oil-palm-biodiversity-co-exist-1481Session 2-2-sophie-persey-can-oil-palm-biodiversity-co-exist-1481
Session 2-2-sophie-persey-can-oil-palm-biodiversity-co-exist-1481
 
Presentacion gbi
Presentacion gbiPresentacion gbi
Presentacion gbi
 
Minutes issued by the secretary meeting held on 5 aug, 2014
Minutes issued by the secretary meeting held on 5 aug, 2014Minutes issued by the secretary meeting held on 5 aug, 2014
Minutes issued by the secretary meeting held on 5 aug, 2014
 
Point zuricata puma
Point zuricata pumaPoint zuricata puma
Point zuricata puma
 
Palm oil-symposium-abstracts-1440
Palm oil-symposium-abstracts-1440Palm oil-symposium-abstracts-1440
Palm oil-symposium-abstracts-1440
 

Similar a F4 06statisticsiii-090716074100-phpapp01

add maths module 4
add maths module 4add maths module 4
add maths module 4Sasi Villa
 
357402584 242463893-pt3-trial-mathematics-pdf
357402584 242463893-pt3-trial-mathematics-pdf357402584 242463893-pt3-trial-mathematics-pdf
357402584 242463893-pt3-trial-mathematics-pdfSyahidaZamri1
 
modul 4 add maths 07
modul 4 add maths 07modul 4 add maths 07
modul 4 add maths 07Sasi Villa
 
Module 8 Statistics
Module 8 StatisticsModule 8 Statistics
Module 8 Statisticsnorainisaser
 
2021 AT_Task1_MathsAdv11 (1).pdf
2021 AT_Task1_MathsAdv11 (1).pdf2021 AT_Task1_MathsAdv11 (1).pdf
2021 AT_Task1_MathsAdv11 (1).pdfANNGUYEN90427
 
4 ma0 3hr_que_20140514
4 ma0 3hr_que_20140514 4 ma0 3hr_que_20140514
4 ma0 3hr_que_20140514 AnneRostom
 
4 ma0 3h_que_20150106
4 ma0 3h_que_20150106 4 ma0 3h_que_20150106
4 ma0 3h_que_20150106 AnneRostom
 
10.2 using combinations and the binomial theorem
10.2 using combinations and the binomial theorem10.2 using combinations and the binomial theorem
10.2 using combinations and the binomial theoremhartcher
 
Tenth class-state syllabus-model paper-em-ts-maths
Tenth class-state syllabus-model paper-em-ts-mathsTenth class-state syllabus-model paper-em-ts-maths
Tenth class-state syllabus-model paper-em-ts-mathsNaukriTuts
 
Mathematics OL P1 QP.pdf
Mathematics OL P1 QP.pdfMathematics OL P1 QP.pdf
Mathematics OL P1 QP.pdfsymplyMenogy
 
modul 3 add maths
modul 3 add mathsmodul 3 add maths
modul 3 add mathsSasi Villa
 
1. Find Mean, Median and Mode for the following ungrouped data.docx
1. Find Mean, Median and Mode for the following ungrouped data.docx1. Find Mean, Median and Mode for the following ungrouped data.docx
1. Find Mean, Median and Mode for the following ungrouped data.docxjackiewalcutt
 
Math10 curriculum map docx
Math10 curriculum map docxMath10 curriculum map docx
Math10 curriculum map docxEmaEmitsCP
 

Similar a F4 06statisticsiii-090716074100-phpapp01 (20)

add maths module 4
add maths module 4add maths module 4
add maths module 4
 
357402584 242463893-pt3-trial-mathematics-pdf
357402584 242463893-pt3-trial-mathematics-pdf357402584 242463893-pt3-trial-mathematics-pdf
357402584 242463893-pt3-trial-mathematics-pdf
 
modul 4 add maths 07
modul 4 add maths 07modul 4 add maths 07
modul 4 add maths 07
 
Module 8 Statistics
Module 8 StatisticsModule 8 Statistics
Module 8 Statistics
 
2021 AT_Task1_MathsAdv11 (1).pdf
2021 AT_Task1_MathsAdv11 (1).pdf2021 AT_Task1_MathsAdv11 (1).pdf
2021 AT_Task1_MathsAdv11 (1).pdf
 
Module 1
Module 1Module 1
Module 1
 
Modul t4
Modul t4Modul t4
Modul t4
 
4 ma0 3hr_que_20140514
4 ma0 3hr_que_20140514 4 ma0 3hr_que_20140514
4 ma0 3hr_que_20140514
 
4 ma0 3h_que_20150106
4 ma0 3h_que_20150106 4 ma0 3h_que_20150106
4 ma0 3h_que_20150106
 
10.2 using combinations and the binomial theorem
10.2 using combinations and the binomial theorem10.2 using combinations and the binomial theorem
10.2 using combinations and the binomial theorem
 
Asenime mathematics
Asenime mathematicsAsenime mathematics
Asenime mathematics
 
Tenth class-state syllabus-model paper-em-ts-maths
Tenth class-state syllabus-model paper-em-ts-mathsTenth class-state syllabus-model paper-em-ts-maths
Tenth class-state syllabus-model paper-em-ts-maths
 
Mathematics OL P1 QP.pdf
Mathematics OL P1 QP.pdfMathematics OL P1 QP.pdf
Mathematics OL P1 QP.pdf
 
Unidad 2 semana 3- 2021-2
Unidad 2   semana 3-  2021-2Unidad 2   semana 3-  2021-2
Unidad 2 semana 3- 2021-2
 
Guess paper x
Guess paper xGuess paper x
Guess paper x
 
modul 3 add maths
modul 3 add mathsmodul 3 add maths
modul 3 add maths
 
PNEB - MATHEMATICS 2013
PNEB - MATHEMATICS 2013PNEB - MATHEMATICS 2013
PNEB - MATHEMATICS 2013
 
1. Find Mean, Median and Mode for the following ungrouped data.docx
1. Find Mean, Median and Mode for the following ungrouped data.docx1. Find Mean, Median and Mode for the following ungrouped data.docx
1. Find Mean, Median and Mode for the following ungrouped data.docx
 
4th Semester Computer Science and Engineering (ACU-2022) Question Paper
4th Semester Computer Science and Engineering (ACU-2022) Question Paper4th Semester Computer Science and Engineering (ACU-2022) Question Paper
4th Semester Computer Science and Engineering (ACU-2022) Question Paper
 
Math10 curriculum map docx
Math10 curriculum map docxMath10 curriculum map docx
Math10 curriculum map docx
 

Más de Universiti Putra Malaysia-KTT (7)

Muet-Writing 800/4 Year End November 2015
Muet-Writing 800/4 Year End November 2015Muet-Writing 800/4 Year End November 2015
Muet-Writing 800/4 Year End November 2015
 
Muet-Reading 800/3 Year End November 2015
Muet-Reading 800/3 Year End November 2015Muet-Reading 800/3 Year End November 2015
Muet-Reading 800/3 Year End November 2015
 
Scholarship 2015 application form
Scholarship 2015 application formScholarship 2015 application form
Scholarship 2015 application form
 
Kenegaraan Malaysia UPM (SKP 2101)
Kenegaraan Malaysia UPM (SKP 2101)Kenegaraan Malaysia UPM (SKP 2101)
Kenegaraan Malaysia UPM (SKP 2101)
 
Psikologi dalam dunia kerja
Psikologi dalam dunia kerjaPsikologi dalam dunia kerja
Psikologi dalam dunia kerja
 
The Example of Muet report writing
The Example of Muet report writingThe Example of Muet report writing
The Example of Muet report writing
 
Language of persuasion
Language of persuasionLanguage of persuasion
Language of persuasion
 

Último

GenAI and AI GCC State of AI_Object Automation Inc
GenAI and AI GCC State of AI_Object Automation IncGenAI and AI GCC State of AI_Object Automation Inc
GenAI and AI GCC State of AI_Object Automation IncObject Automation
 
Cloud Revolution: Exploring the New Wave of Serverless Spatial Data
Cloud Revolution: Exploring the New Wave of Serverless Spatial DataCloud Revolution: Exploring the New Wave of Serverless Spatial Data
Cloud Revolution: Exploring the New Wave of Serverless Spatial DataSafe Software
 
Digital magic. A small project for controlling smart light bulbs.
Digital magic. A small project for controlling smart light bulbs.Digital magic. A small project for controlling smart light bulbs.
Digital magic. A small project for controlling smart light bulbs.francesco barbera
 
Connector Corner: Extending LLM automation use cases with UiPath GenAI connec...
Connector Corner: Extending LLM automation use cases with UiPath GenAI connec...Connector Corner: Extending LLM automation use cases with UiPath GenAI connec...
Connector Corner: Extending LLM automation use cases with UiPath GenAI connec...DianaGray10
 
Using IESVE for Loads, Sizing and Heat Pump Modeling to Achieve Decarbonization
Using IESVE for Loads, Sizing and Heat Pump Modeling to Achieve DecarbonizationUsing IESVE for Loads, Sizing and Heat Pump Modeling to Achieve Decarbonization
Using IESVE for Loads, Sizing and Heat Pump Modeling to Achieve DecarbonizationIES VE
 
Basic Building Blocks of Internet of Things.
Basic Building Blocks of Internet of Things.Basic Building Blocks of Internet of Things.
Basic Building Blocks of Internet of Things.YounusS2
 
IaC & GitOps in a Nutshell - a FridayInANuthshell Episode.pdf
IaC & GitOps in a Nutshell - a FridayInANuthshell Episode.pdfIaC & GitOps in a Nutshell - a FridayInANuthshell Episode.pdf
IaC & GitOps in a Nutshell - a FridayInANuthshell Episode.pdfDaniel Santiago Silva Capera
 
RAG Patterns and Vector Search in Generative AI
RAG Patterns and Vector Search in Generative AIRAG Patterns and Vector Search in Generative AI
RAG Patterns and Vector Search in Generative AIUdaiappa Ramachandran
 
Linked Data in Production: Moving Beyond Ontologies
Linked Data in Production: Moving Beyond OntologiesLinked Data in Production: Moving Beyond Ontologies
Linked Data in Production: Moving Beyond OntologiesDavid Newbury
 
Cybersecurity Workshop #1.pptx
Cybersecurity Workshop #1.pptxCybersecurity Workshop #1.pptx
Cybersecurity Workshop #1.pptxGDSC PJATK
 
UWB Technology for Enhanced Indoor and Outdoor Positioning in Physiological M...
UWB Technology for Enhanced Indoor and Outdoor Positioning in Physiological M...UWB Technology for Enhanced Indoor and Outdoor Positioning in Physiological M...
UWB Technology for Enhanced Indoor and Outdoor Positioning in Physiological M...UbiTrack UK
 
UiPath Solutions Management Preview - Northern CA Chapter - March 22.pdf
UiPath Solutions Management Preview - Northern CA Chapter - March 22.pdfUiPath Solutions Management Preview - Northern CA Chapter - March 22.pdf
UiPath Solutions Management Preview - Northern CA Chapter - March 22.pdfDianaGray10
 
Salesforce Miami User Group Event - 1st Quarter 2024
Salesforce Miami User Group Event - 1st Quarter 2024Salesforce Miami User Group Event - 1st Quarter 2024
Salesforce Miami User Group Event - 1st Quarter 2024SkyPlanner
 
Introduction to Quantum Computing
Introduction to Quantum ComputingIntroduction to Quantum Computing
Introduction to Quantum ComputingGDSC PJATK
 
Babel Compiler - Transforming JavaScript for All Browsers.pptx
Babel Compiler - Transforming JavaScript for All Browsers.pptxBabel Compiler - Transforming JavaScript for All Browsers.pptx
Babel Compiler - Transforming JavaScript for All Browsers.pptxYounusS2
 
Machine Learning Model Validation (Aijun Zhang 2024).pdf
Machine Learning Model Validation (Aijun Zhang 2024).pdfMachine Learning Model Validation (Aijun Zhang 2024).pdf
Machine Learning Model Validation (Aijun Zhang 2024).pdfAijun Zhang
 
The Data Metaverse: Unpacking the Roles, Use Cases, and Tech Trends in Data a...
The Data Metaverse: Unpacking the Roles, Use Cases, and Tech Trends in Data a...The Data Metaverse: Unpacking the Roles, Use Cases, and Tech Trends in Data a...
The Data Metaverse: Unpacking the Roles, Use Cases, and Tech Trends in Data a...Aggregage
 
Comparing Sidecar-less Service Mesh from Cilium and Istio
Comparing Sidecar-less Service Mesh from Cilium and IstioComparing Sidecar-less Service Mesh from Cilium and Istio
Comparing Sidecar-less Service Mesh from Cilium and IstioChristian Posta
 
Do we need a new standard for visualizing the invisible?
Do we need a new standard for visualizing the invisible?Do we need a new standard for visualizing the invisible?
Do we need a new standard for visualizing the invisible?SANGHEE SHIN
 
Crea il tuo assistente AI con lo Stregatto (open source python framework)
Crea il tuo assistente AI con lo Stregatto (open source python framework)Crea il tuo assistente AI con lo Stregatto (open source python framework)
Crea il tuo assistente AI con lo Stregatto (open source python framework)Commit University
 

Último (20)

GenAI and AI GCC State of AI_Object Automation Inc
GenAI and AI GCC State of AI_Object Automation IncGenAI and AI GCC State of AI_Object Automation Inc
GenAI and AI GCC State of AI_Object Automation Inc
 
Cloud Revolution: Exploring the New Wave of Serverless Spatial Data
Cloud Revolution: Exploring the New Wave of Serverless Spatial DataCloud Revolution: Exploring the New Wave of Serverless Spatial Data
Cloud Revolution: Exploring the New Wave of Serverless Spatial Data
 
Digital magic. A small project for controlling smart light bulbs.
Digital magic. A small project for controlling smart light bulbs.Digital magic. A small project for controlling smart light bulbs.
Digital magic. A small project for controlling smart light bulbs.
 
Connector Corner: Extending LLM automation use cases with UiPath GenAI connec...
Connector Corner: Extending LLM automation use cases with UiPath GenAI connec...Connector Corner: Extending LLM automation use cases with UiPath GenAI connec...
Connector Corner: Extending LLM automation use cases with UiPath GenAI connec...
 
Using IESVE for Loads, Sizing and Heat Pump Modeling to Achieve Decarbonization
Using IESVE for Loads, Sizing and Heat Pump Modeling to Achieve DecarbonizationUsing IESVE for Loads, Sizing and Heat Pump Modeling to Achieve Decarbonization
Using IESVE for Loads, Sizing and Heat Pump Modeling to Achieve Decarbonization
 
Basic Building Blocks of Internet of Things.
Basic Building Blocks of Internet of Things.Basic Building Blocks of Internet of Things.
Basic Building Blocks of Internet of Things.
 
IaC & GitOps in a Nutshell - a FridayInANuthshell Episode.pdf
IaC & GitOps in a Nutshell - a FridayInANuthshell Episode.pdfIaC & GitOps in a Nutshell - a FridayInANuthshell Episode.pdf
IaC & GitOps in a Nutshell - a FridayInANuthshell Episode.pdf
 
RAG Patterns and Vector Search in Generative AI
RAG Patterns and Vector Search in Generative AIRAG Patterns and Vector Search in Generative AI
RAG Patterns and Vector Search in Generative AI
 
Linked Data in Production: Moving Beyond Ontologies
Linked Data in Production: Moving Beyond OntologiesLinked Data in Production: Moving Beyond Ontologies
Linked Data in Production: Moving Beyond Ontologies
 
Cybersecurity Workshop #1.pptx
Cybersecurity Workshop #1.pptxCybersecurity Workshop #1.pptx
Cybersecurity Workshop #1.pptx
 
UWB Technology for Enhanced Indoor and Outdoor Positioning in Physiological M...
UWB Technology for Enhanced Indoor and Outdoor Positioning in Physiological M...UWB Technology for Enhanced Indoor and Outdoor Positioning in Physiological M...
UWB Technology for Enhanced Indoor and Outdoor Positioning in Physiological M...
 
UiPath Solutions Management Preview - Northern CA Chapter - March 22.pdf
UiPath Solutions Management Preview - Northern CA Chapter - March 22.pdfUiPath Solutions Management Preview - Northern CA Chapter - March 22.pdf
UiPath Solutions Management Preview - Northern CA Chapter - March 22.pdf
 
Salesforce Miami User Group Event - 1st Quarter 2024
Salesforce Miami User Group Event - 1st Quarter 2024Salesforce Miami User Group Event - 1st Quarter 2024
Salesforce Miami User Group Event - 1st Quarter 2024
 
Introduction to Quantum Computing
Introduction to Quantum ComputingIntroduction to Quantum Computing
Introduction to Quantum Computing
 
Babel Compiler - Transforming JavaScript for All Browsers.pptx
Babel Compiler - Transforming JavaScript for All Browsers.pptxBabel Compiler - Transforming JavaScript for All Browsers.pptx
Babel Compiler - Transforming JavaScript for All Browsers.pptx
 
Machine Learning Model Validation (Aijun Zhang 2024).pdf
Machine Learning Model Validation (Aijun Zhang 2024).pdfMachine Learning Model Validation (Aijun Zhang 2024).pdf
Machine Learning Model Validation (Aijun Zhang 2024).pdf
 
The Data Metaverse: Unpacking the Roles, Use Cases, and Tech Trends in Data a...
The Data Metaverse: Unpacking the Roles, Use Cases, and Tech Trends in Data a...The Data Metaverse: Unpacking the Roles, Use Cases, and Tech Trends in Data a...
The Data Metaverse: Unpacking the Roles, Use Cases, and Tech Trends in Data a...
 
Comparing Sidecar-less Service Mesh from Cilium and Istio
Comparing Sidecar-less Service Mesh from Cilium and IstioComparing Sidecar-less Service Mesh from Cilium and Istio
Comparing Sidecar-less Service Mesh from Cilium and Istio
 
Do we need a new standard for visualizing the invisible?
Do we need a new standard for visualizing the invisible?Do we need a new standard for visualizing the invisible?
Do we need a new standard for visualizing the invisible?
 
Crea il tuo assistente AI con lo Stregatto (open source python framework)
Crea il tuo assistente AI con lo Stregatto (open source python framework)Crea il tuo assistente AI con lo Stregatto (open source python framework)
Crea il tuo assistente AI con lo Stregatto (open source python framework)
 

F4 06statisticsiii-090716074100-phpapp01

  • 1. ppr maths nbk CHAPTER 6: STATISTICS EXERCISE 1 (Paper 1) 1. Given that the class interval of a set of data is 6 – 9, 10 – 13, 14 – 17, ….. . Determine the upper boundary of the class interval 10 – 13. Answer:………………….. 2. Calculate the size of class interval 36 – 40. Answer:…………………….. 3. Calculate the mean for the following data 10 9 4 30 30 29 5 8 11 18 21 4 32 27 13 10 2 18 6 26 Answer:…………………….. Questions 4 and 5 are based on the table 1. Table 1 is the frequency table which shows the marks obtained by 10 students in Mathematics quiz. Mark 1–5 6 – 10 11- 15 16 – 20 Frequency 5 4 0 1 Table 1 4. Determine the modal class of the data. Answer:…………………….. 5. Calculate the mean of the data. Answer:…………………….. 6. Given that the mean of a set of data 8, 10, 7, x, 5, 5 is 6.5. Calculate the median of the same set data. Answer:…………………….. 7. Find the range of the following set of ungrouped data 2.44, 3.69, 2.74, 1.68, 1.1 Answer:…………………….. 58
  • 2. ppr maths nbk Questions 8-10 are based on the table 2. 8. Find the range of class interval the following set of grouped data in table 1 Breadth(cm) 11 - 16 17 – 22 23 – 28 29 – 34 35 - 40 Frequency 4 7 8 9 2 TABLE 2 Answer:…………………….. 9. Find the modal class of the data. Answer:…………………….. 10. Find the midpoint of the modal class. Answer:…………………….. 59
  • 3. ppr maths nbk CHAPTER 6: STATISTICS EXERCISE 2 1.Given a set of numbers 2,4,3,4,5,6,8,x,5. Find the value of x if the (a ) median is 4 (b) mean is 5 Answer: (a)……………………………….(b)……………………. 2. The table 1 below shows the scores obtained by a group of students in a quiz competition. Score 1 2 3 4 5 6 Number of 2 3 12 8 3 2 students TABLE 1 Find: (a) the mode (b) the median (c) the mean Answer: (a)………………..(b)………….…..(c )…………… 3.(a) Complete the following frequency in table 2 Distance (m) Frequency Midpoint 1-3 2 4-6 6 7-9 12 10-12 5 13-15 3 TABLE 2 (b) Based on table 2, calculate the estimated mean distance of the data. Answer: (a)…………………….(b)…………………………. 4. Find the range of the following set of data (a) 3, 5, 8, 11, 14 (b) 12, 13, 10, 8, 19, 25 Answer: (a)………………………………..(b)…………………………………….. 60
  • 4. ppr maths nbk 5.The table 3 below shows the marks obtained by group of students in a Mathematics examination Marks 40 60 75 83 88 Number of 4 6 10 6 x students TABLE 3 (a) If the mean mark is 75, find the value of x. (b) State the minimum value of x if the mode is 88 Answer: (a)………………………(b)………………………………………. 6. 16,25, 13, 26, 15, 16, 18, 17, 20, 24 For the above data, find the (a) range (b) mean Answer: (a)……………………(b)……………………….. 7. Diagram 1 is a pie chart which shows the total number of boys and girls in two clubs. Table 4 shows the number of boys and girls of these clubs, but is incomplete. Clubs Boys Girls Chess 60 50 Boys Debate (a) (b) Total 100 (c) 1500 TABLE 4 Girls DIAGRAM 1 Complete the table. Answer: (a)…………………..(b)………………..(c)……………………….. 61
  • 5. ppr maths nbk 8. Diagram 2 is a pictograph showing the number of blood donors at a blood donation campaign over a period of 3 days.Given that the number of blood donors on Monday make up 30 % of the total blood donors over the period. Monday Tuesday Wednesday Represents 60 blood donors DIAGRAM 2 Calculate (a) the number of blood donors on Wednesday (b) the total number of blood donors the 3 days. Answer: (a)…………………….(b)…………………… 9. Table 5 shows the mass, in kg, of 40 parcels. Mass(kg) Frequency 6-10 4 11-15 10 16-20 7 21-25 10 26-30 5 31-35 4 TABLE 5 . Calculate the: (a) mean mass of the parcels , in kg. (b) midpoint of the third class Answer: (a)……………………(b)……………………. 62
  • 6. ppr maths nbk 10. Table 6shows the record of overtime done by a group of workers, in hours, in a particular month. Overtime (hours) Frequency 10-19 5 20-29 14 30-39 10 40-49 9 50-59 12 TABLE 6 (a)State the modal class (c) Find the midpoint of the modal class Answer(a)…………………..(b)…………………… 63
  • 7. ppr maths nbk CHAPTER 6: STATISTICS DIAGNOSTIC TEST 1. A class interval has an upper limit of 15 and lower limit of 10. The lower boundary is A 9.5 B 10.5 C 14.5 D 15.5 2. The table 1 shows the frequency distribution of the scores of a group of players Score 1 2 3 4 5 6 Frequency 4 3 9 x 3 2 TABLE 1 If 3 is the modal score, the maximum value of x is A 10 B9 C8 D7 3. If the median of a set of integers, 3,8,9,x and 7 is x, the probable value of x is A5 B6 C8 D9 4. The diagram 1 is a pictograph showing the number of durians of different grades sold on a particular day. The information in the pictograph is represented by a pie chart. Grade A durians Grade B durians Grade C durians Represents 50 durians DIAGRAM 1 Calculate the angle of the sector which represents the number of grade C durians sold. A 900 B 112.50 C 1350 D 157.50 64
  • 8. ppr maths nbk Questions 5 and 6 are based on table 2. Table 2 shows the scores obtained by 12 students. 35 70 80 90 91 45 52 82 74 46 53 88 TABLE 2 5. Find the range of the score A 55 B 56 C 57 D5 1 6. If x mark is added to each student as a bonus and the mean is 70 . 6 Find the value of x. A2 B3 C4 D5 7. Which of the following class interval has a size of 5? A 1.1-1.5 B 2.05-2.10 C 5-9 D 15-20 8 Find the mode for the following data 2, 2, 1, 3, 4, 1, 2 A. 1 B. 2 C. 3 D. 4 9 19, 18, 16, 15, 20, 15, 18, 16 The median for the above set of numbers is A.16 B.17 C 18 D 20 65
  • 9. ppr maths nbk 10 1111 111 The diagram above shows a tally chart. The symbol represents the value A. 5 B. 7 C. 8 D. 13 66
  • 10. ppr maths nbk CHAPTER 6 : STATISTICS EXERCISE 1 ( PAPER 2) 1. The data in Diagram 1 shows the marks obtained by 30 students. By using five class intervals, construct a frequency table for the data. 11 24 31 25 22 21 31 36 10 44 28 27 35 36 35 30 13 35 42 14 18 18 30 16 17 34 34 32 20 37 DIAGRAM 1 2. Complete Table 1 Lower Upper Class Lower limit Upper limit Class size boundary boundary 55 – 60 61 – 66 67 – 72 73 - 78 TABLE 1 3. Diagram 2 shows the masses of tomatoes, in kg, yielded by a farm for a period of 30 days. 59 59 68 50 42 46 60 57 71 47 62 59 80 62 74 55 56 76 40 53 36 71 74 51 83 64 44 55 51 51 DIAGRAM 2 (a) Construct a frequency table with class intervals 36 – 43, 44 – 51 and so on and then find the midpoint of each class. (b) State the modal class. (c) Calculate the mean mass of the tomatoes yielded by the farm per day. 67
  • 11. ppr maths nbk 4. The data in Diagram 3 shows the number of papayas sold by Pak Ali per day for a period of 30 days. 25 45 42 36 32 26 20 25 32 38 37 31 35 22 32 31 40 30 27 26 24 28 21 33 39 30 28 34 29 33 DIAGRAM 3 (a) Based on the data in Diagram 3 and by using a class interval of 5, complete Table 2. Class interval Frequency Midpoint 20 – 24 25 – 29 TABLE 2 (b) Based on Table 2, calculate the estimated mean number of papayas sold. 24 10 36 19 19 25 26 33 16 30 17 31 35 11 31 32 15 33 27 38 24 18 40 35 11 20 23 27 37 34 DIAGRAM 4 5. The data in Diagram 4 shows the heights, in cm, of 30 seedlings in a nursery. (a) State the range of the data. (b) Based on the data in Diagram 4, complete Table 3. Upper Height (cm) Frequency Midpoint boundary 10 – 16 17 – 23 24 – 30 31 – 37 38 – 44 TABLE 3 (c) Based on Table 3, i) state the modal class ii) calculate the mean height of the seedlings. 68
  • 12. ppr maths nbk CHAPTER 6 : STATISTICS EXERCISE 2 1. Given a set of numbers 2, 4, 3, 4, 5, 6, 8, x , 5, . Find the value of x if the ( a ) median is 4 ( b ) mean is 5 2. Table 1 shows the score obtained by a group of students in a quiz competition. Score 1 2 3 4 5 6 Number of students 2 3 12 8 3 2 Table 1 Find ( a ) the mode ( b ) the median ( c ) the mean 3. The data below shows the marks obtained by 40 students in a monthly test. 99 88 75 92 58 75 80 70 70 32 70 58 90 68 50 78 45 89 45 93 61 81 58 65 69 76 88 58 91 67 71 52 55 40 80 80 39 46 61 69 (a) Using a class interval of 10 marks , complete the following table. Mark Frequency Midpoint 21 - 30 31 - 40 69
  • 13. ppr maths nbk (b) For this part of the question, use the graph paper By using a scale of 2 cm to 10 marks on x – axis and 2 cm to 1 student on y – axis , draw a frequency polygon based on the data. ( c ) From your answer in (a), (i) determine the modal class, (ii) calculate the estimated mean of the group of students. 4. The data below shows the mathematics test marks of 40 students. 86 98 72 96 94 90 76 80 92 86 93 87 81 80 83 67 85 93 72 84 72 86 86 88 74 75 83 85 88 69 90 79 82 90 91 76 68 96 89 78 (a) By using the a class interval of 5 marks , complete the following table. Mark Frequency Midpoint 65 - 69 70 - 74 (b) From the table in (a) (i) state the modal class, (ii) calculate the estimated mean mark of test. (c) For this part of the question, use the graph paper. By using a scale 2 cm to 5 marks on x-axis and 2 cm to 1 student on y-axis, draw a histogram for the data. 70
  • 14. ppr maths nbk 5. Mass ( gm ) Frequency 20 - 24 0 25 - 29 8 30 - 34 10 35 - 39 36 40 - 44 48 45 - 49 40 50 - 54 27 55 - 59 11 The table above shows the frequency distribution of mass of books . ( a ) State the midpoint of the modal class ( b ) Based on the table above , construct a cumulative frequency table. ( c ) For this part of the question, use the graph paper. By using a scale of 2 cm to 5 gm on x – axis and 2 cm to 20 books on y – axis , draw an ogive for the data . (d ) From your ogive in ( c ), find i. the interquartile range, ii. the number of books with length greater than 50 cm. 71
  • 15. ppr maths nbk CHAPTER 6 : STATISTICS DIAGNOSTIC TEST 1. Data below shows the number of papaya trees planted by 50 farmers. 60 77 70 81 73 69 79 69 75 67 65 71 62 66 78 76 64 71 73 79 70 66 64 89 81 61 73 78 73 68 68 77 74 63 71 65 87 67 63 74 74 80 70 72 75 82 76 81 68 74 (a) (i) Using size of class interval 5 , complete the Table 1 below. Class Upper boundary Frequency Cumulative Interval Frequency 55 – 59 Table 1 (ii) Hence , state the modal class (b) By using a scale of 2 cm to represent 5 trees on the x – axis and 2 cm to represent 5 farmers on the y – axis , draw an ogive for the data above. (c) Based on the ogive in (b) , Osman make a conclusion that 25% of the farmers planted less than 56 trees. Determine whether the conclusion is correct or not and give a reason. 72
  • 16. ppr maths nbk 2. Encik Shamsudin reared a total of 148 turtles. The distribution of the length of the turtles is shown in Table 2. Length (cm) Frequency 5–9 9 10 – 14 19 15 – 19 29 20 – 24 43 25 – 29 30 30 – 34 14 35 – 39 4 Table 2 (a) By stating the answer correct to two significant figures, calculate the mean length of the turtles reared. (b) Construct a cumulative frequency table. By using a scale of 2 cm to represent 5 cm on the x – axis and 2 cm to represent 20 turtles on the y – axis , draw an ogive for the data above (c) From the ogive drawn in (b), find (i) the median, (ii) the first quartile, (iii) the third quartile, (iv) the interquartile range. 3. The closing price, in sen, of the 50 counters traded at Bursa Malaysia on a day is given in Figure below.. 200 150 189 175 255 130 214 161 230 217 169 196 208 249 124 121 180 155 144 158 146 218 154 234 162 241 193 187 254 184 250 178 259 198 146 182 201 160 186 183 136 258 142 163 186 204 156 245 194 164 (a) Determine the range of price of the 50 counters. 73
  • 17. ppr maths nbk (b) Using size of class interval 20 , complete the Table 3 below. Class Mid point Frequency Interval 121-140 Table 3 (c) Based on the frequency table constructed in (b) , draw a histogram for a data. 4. The heights, in cm, of 50 plants are distributed as shown in the following table. (a) Height(cm) Midpoint Frequency 40 – 44 3 45 – 49 5 50 – 54 10 55 – 59 16 60 – 64 8 65 – 69 6 70 – 79 2 (i) Copy and complete the above table (ii) Hence , calculate the mean height of the plants. (b) Upper 39.5 44.5 Boundary (cm) Cumulative 0 frequency (i) Based on the information from the table in (a) , copy and complete the above table. (ii) Using a scale of 2 cm to represent 5 cm on the x – axis , and 2 cm to represent 5 plants on the y-axis, draw an ogive for the distribution. From the ogive , find (a) the median (b) the third quartile 74
  • 18. ppr maths nbk 5. (a) Number of 8 9 10 11 12 13 Television sets sold Number of 2 5 8 10 9 6 Shops The above table gives the numbers of televisyen sets sold by 40 electrical shops on a certain day.Find (i) the mode (ii) the mean of the distribution. (b) Time(minutes) Number of Upper boundary Cumulative participants Frequency 6.1 – 7 .0 8 7.1 – 8.0 14 8.1 – 9.0 22 9.1 – 10.0 46 10.1 – 11.0 38 11.1 – 12.0 20 12.1 – 13.0 8 13.1 – 14.0 4 The above table shows the frequency distribution of the times , in minutes, taken by 160 participants of a jogathon.Copy and complete the table. (c) Using a scale of 2 cm to represent 1 minute on the x –axis and 2 cm to represent 20 participants on the y-axis, draw an ogive for this distribution. From the ogive , find (i) the median (ii) the interquartile range (iii) the number of prize winners , given that participants who clocked less than 8.0 minutes were given prizes. 75