2. TOPIC I
Distribusi Frekuensi
1. 15, 10, 23, 18, 17, 25, 25, 19, 8, 6
From data above arrange the numbers into an array, find the highest value, lowest value
and the range one
2. 71, 80, 36, 82, 75, 92, 49, 83, 71, 74, 94, 49, 74, 75, 68, 83, 75, 75, 98, 73, 79, 82, 45, 95, 86,
71, 96, 87, 81, 38, 72, 88, 69, 54, 66, 93, 81, 93, 72, 94, 39, 81, 94, 78, 84, 57, 85, 77, 64, 86
From the following data determine the number of classs, length of class, and make the
frequency distribution table
Question for no. 3, 4, 5
3 55, 60, 73, 68, 57, 55, 65, 89, 98, 96, 78, 65, 61, 74, 51, 55, 57, 56, 84, 56, 63, 65, 77, 83, 82,
79, 90, 94, 101, 97, 95, 90, 91, 67, 91, 55, 74, 100, 105, 68, 70, 110, 80, 70, 67, 64, 82, 107,
80, 99. Find the highest value, lowest value, range
4. Determine the number of classes, the length of class and make the frequency distribution
table
5. Make more than table and less than table

3. Math test score of 100 students:
80 78 67 76 82 78 86 65 66 77 83 81 70 80 70 70 72 65 75 80
69 70 69 74 83 76 80 69 71 80 68 78 70 69 69 73 80 75 72 83
68 73 61 66 96 79 65 86 67 75 88 75 82 67 73 77 72 61 81 74
75 88 72 64 72 85 66 77 86 63 71 76 65 76 80 69 68 70 77 85
64 91 75 76 74 80 76 77 85 88 62 76 75 71 85 88 71 79 67 81
82 76 72 90 69 88 66 81 77 74 81 65 69 71 89 74 75 75 85 67
6. From the data above find the highest number, lowest number, range
7. Determine value of the five students with the highest ranking
8. Determine value of the five students with the lowest ranking
9. How many students are getting value 75 or more
10. How Many students are getting value 75 or less
11. Percentage of students who get score above 75
12. Percentage of students who get score below 75
13. Determine the number and length of class then
14. Make the frequency distribution table, more than and less than table
15. Draw a histogram and polygram grafic

4. TOPIC II
MEASURES OF CENTRAL TENDENCY
• Mean
16. Find the mean value from these data 5, 3, 5, 6, 7, 9, 4, 5, 7, 7, 5, 4, 7, 6, 6
17. If the numbers 5, 6, 7, 8 has a frequency of respectively 2, 3, 4, 5. determine the mean!
18. The set of numbers 2, 2, 5, 7, 9, 10, 12 and each number has a mode 9. calculate the mean
19. The final value of a student for the course of mathematics, physics, English, and health
sciences, respectively 82, 86, 90, 70. determine the mean values
20. Of 100 numbers, 20 of whom are numbers 4, 40 numbers 5, 30 number 6, while the remainder
is the number 7. find the mean of these numbers
21. In a company that employs 80 employees, 60 of them earn $ 10.00 per hour while the
remaining 20 to get $ 13.00 per hour. calculate the mean
22. Exam scores of 5 students who were sampled from a population is 80, 80, 75, 95, 100.
determine the average test score is the fifth student!
23. There are 7 employees with wages per month each (in million dollars) is as follows 20, 80, 75,
60,50,85, and 45. What is the median?
24. A student has gotten the following grades on his tests: 87, 95, 76, and 88. He wants an 85 or
better overall. What is the minimum grade he must get on the last test in order to achieve that
average?

5. 25. Data accounting exam results of 25 students of STIMA Kosgoro as follows:
79 63 72 82 74 91 45 83 71 50 68 73 78 77 96
36 42 67 51 88 67 67 48 41 57
Calculate the mean value!
26. Determine the mean value of data processing tasks of the Mathematics 40 students of class XI
below. D F
30 – 39 1
40 – 49 3
50 – 59 11
60 – 69 43
70 – 79 21
80 – 89 32
90 - 100 9
27. A student of the school exams and the times and the average value is 80. What value
should be obtained by the student so that its average value increases to 82?
28. The mean annual salary paid to all workers of a company is $ 36,000. As for the mean
annual salary paid to workers MEN and women, respectively, amounting to $ 34,000 and $
40,000. specify the presentation of men and women workers at the company's
29. Three people teaching economic subjects reported a mean test scores by 79, 74 and 82 for
the classes they teach, each consisting of 32, 25 and 17 students. determine the mean value for
all classes
30. The marks of seven students in a mathematics test with a maximum possible mark of 20 are
given below: 15 13 18 16 14 17 12 . Find the mean of this set of data values.

6. Median
31. What is the median of the numbers 4, 2, 11, 6, 2 ?
32. Compute the median of the following set of numbers 5, 8, 7, 4, 4, 6, 9, 7, 6, 5
33. Find the median for each of the following data (a) 7, 4, 10, 9, 15, 12, 7, 9, 7, 8 and
(b) 8, 11, 4, 3, 5, 10, 6, 4, 10, 8, 12, 6, 5, 7, 6
34. What is the median of the numbers 75, 83, 69, 56, 71, 80, 65, 67, 77 and 44 ?
35. 79 63 72 82 74 91 45 83 71 50 arrange the data into an array and find the median value
36. Find the median the data of following frequency distribution table
D 15 - 19 20 - 24 25 - 29 30 - 34 35 - 39
F 5 7 15 10 13
37. 100
80 Find the median of the values data from three students
60 besides
40 Aris
20 Betty
0
Charlie
Eko Mat B.Indo Bi.Ing
38. 15, 10, 23, 18, 17, 25, 25, 19, 8, 6 arrange the data into an array and find the median value
39. Find the median for the English lessons of 15 students the following 77, 81, 88, 76, 76, 65, 74, 81,
75, 69, 70, 69, 81, 87, 68

7. 40. Median of grouped data below is
Value 87 79 65 81
Frequency 4 5 6 7
41. Find median of the data below
Class F
16 – 23 10
24 – 31 17
32 – 39 7
40 – 47 5
48 – 55 8
42. Number of ATM transactions per day were recorded at 15 locations in a large city is 35, 49, 225,
50, 30, 65, 40, 55, 52, 76, 48, 325, 47, 32 and 60
43. A booklet has 12 pages with the following numbers of words:
271, 354, 296, 301, 333, 326, 285, 298, 327, 316, 287 and 314
44. The marks of nine students in a geography test that had a maximum possible mark of 50 are
given below: 47 35 37 32 38 39 36 34 35. Find the median of this set of
data values.
45. 10 measurements made on the diameter of a cylinder produces the following data 3.88, 3.92,
3.97, 4.02, 3.95, 4.03, 3.92, 3.98, 4.00 and 4. 06. what is the median?

8. • Modus
46. Find the mode of: 9, 3, 3, 44, 17 , 17, 44, 15, 15, 15, 27, 40, 8, 9, 15
47. The number of points scored in a series of football games is listed below.
7, 13, 18, 24, 9, 3, 18. Which score occurred most often?
48. The following is the number of problems that Ms. Matty assigned for homework on 10
different days: 8, 11, 9, 14, 9, 15, 18, 6, 9, 10. What is the mode?
49. In a crash test, 11 cars were tested to determine what impact speed was required to obtain
minimal bumper damage. Find the mode of the speeds given in miles per hour below.
24, 15, 18, 20, 18, 22, 24, 26, 18, 26, 24
50. A marathon race was completed by 5 participants. What is the mode of these times given in
hours? 2.7 hr, 8.3 hr, 3.5 hr, 5.1 hr, 4.9 hr
51. On a cold winter day in January, the temperature for 9 North American cities is recorded in
Fahrenheit: -8, 0, -3, 4, 12, 0, 5, -1, 0. What is the mode of these temperatures?
52. The test scores of 9 seventh grade students are listed below. Find the mode.
82, 92, 75 , 91, 92, 89, 95, 100, 86
53. The typing speeds of 12 secretaries are recorded below (in words per minute). Find the mode.
35, 43, 39, 46, 43, 47, 38, 51, 43, 38, 40, 45
54. The manager of a video shop recorded the number of blank tapes sold per day in 2 weeks (below).
132, 121, 119, 116, 130, 119, 131, 117, 119, 135, 119, 129, 119, 134 . What is the mode?

9. 55. Ten earthquakes were measured using the Richter scale and their magnitudes are:
7.0, 6.2, 7.7, 8.0, 6.4, 7.2, 5.4, 6.6, 7.0, 5.9. Find the mode.
56. Eleven daily temperatures for Juneau, Alaska are listed below, in degrees Fahrenheit. Which of
the following statements is true? -21, 0, +2, -15, 0, +5, -18, +7, 0, -32, +21
- There is no mode.
- The mode is 0.
- The mode is -21.
- The data set is bimodal.
57. Consider the following set of height values for a fifth-grade class below. Find the mode.
25
20
22
15
10 12
5 10
5
0
100 - 119 120 - 139 140 - 159 160 - 179
58. Find the mode of the following integers: -18, -13, 0, +16, +3, -15, 0, +11, -14, 0, +12
59. The grade point averages of 10 students are listed below. Find the mode grade point
average.
3.15, 3.62, 2.54, 2.81, 3.97, 2.81, 1.93, 2.63, 2.50, 2.81
60.
D 60 - 62 63 - 65 66 - 68 69 - 71 72 - 74
F 10 25 32 15 18 100
Find the mode of grouped data above is?

10. Quartile, Decile and Percentile
61. A class off 22 students receives the following scores on an exam:
50, 50, 52, 58, 58, 61, 64, 64, 67, 68, 72, 74, 76, 78, 78, 79, 83, 85, 92, 92, 96, 98
What is the first and third quartile?
What is the second decile and the fourth decile?
What is the 15th percentile?
62. Range of numbers:
13 13 13 20 26 27 31 34 34 34 35 35 36 37 38
41 41 41 45 47 47 47 50 51 53 54 56 62 67 82
What is the second and third quartile?
What is the fifth decile and the eighth decile?
What is the 67th percentile?
63. F What is the 5th and 8th quartile?
16
What is the 8th decil?
14
12 What is the 50th percentile?
10
8
6
4
2
0
30 - 41 42 - 53 54 - 65 66 - 77 78 - 89 90 - 101

11. 64. No Skill No Skill No Skill
1 50 21 55 41 87
2 45 22 55 42 90
3 35 23 55 43 91
4 55 24 65 44 55
5 55 25 78 45 55
6 55 26 78 46 55
7 65 27 76 47 65
8 78 28 75 48 78
9 78 29 74 49 78
10 76 30 67 50 76
11 75 31 68 51 75
12 74 32 67 52 74
13 67 33 56 53 67
14 68 34 47 54 68
15 67 35 80 55 67
16 56 36 87 56 56
17 47 37 55 57 47
18 80 38 67 58 80
19 87 39 68 59 87
20 86 40 66 60 96
- Find the first, second and the third quartile
- Find the first, fourth and the eighth decile
- Find the 20th, 40th, 60th percentile
65. D 50 - 69 70 - 89 80 - 99 100 - 119 120 - 139
F 15 12 25 19 9
- What is the fourth and sixth quartile
- What is the eighth and ninth decile
- What is the 25th, 45th and 50th percentile

12. • Variance and Standar Deviation
66. Find out the Variance and Standar Deviation from data of table below about measured the
heights of mitha’s dogs (in millimeters)
67. Find out the Variance and Standar deviation from data below
D F
40 – 49 15
50 – 59 35
60 – 69 10
70 – 79 16
80 - 89 24

13. 68. The Jaeger family drove through 6 midwestern states on their summer vacation. Gasoline prices
varied from state to state: $1.79, $1.61, $1.96, $2.09, $1.84, $1.75. What is the range?
69. Ms. Kaiser listed 9 integers on the blackboard. What is the range of these integers?
14, -12, 7, 0, -5, -8, 17, -11, 19
70. A marathon race was completed by 5 participants are 2.7 hr, 8.3 hr, 3.5 hr, 5.1 hr, 4.9 hr . What is
the range of times given in hours above?
71. Find out the range of these distances run by 6 marathon runners: 10 km, 15 km, 12 km, 14
km, 8 km, 16 km
72. Find the range of these quiz scores: 93, 79, 83, 89, 90, 71, 85
73. Find the range of these race times given in seconds: 7.3 s, 8.4 s, 8.0 s, 7.5 s, 9.4 s, 8.7 s, 9.1 s
74. Employees at a retail store are paid the hourly wages listed below. What is the range of these
hourly wages? $7.50, $9.25, $8.75, $9.50, $7.25, $8.50
75. In a game, points were won and lost, represented by integers. What is the range of points given
beside? -14, +21, -17, +25, 0, -19, +11, -20, +18
76. The weights of 9 students, measured in pounds, are recorded below. Find out the mean weight.
135, 120, 116, 119, 121, 125, 135, 131, 123
77. The mean price of 5 items is $7.00. The prices of the first four items are $6.50, $8.00, $5.50 and
$6.00. How much does the fifth item cost?

14. 78. Find out the mode of the following test scores: 89, 78, 91, 82, 75, 89, 84, 95, 89, 93
79. The mean of a set of data is 174.25 and the sum of the data is 1,394. How many numbers are
in the set?
80. The grade point averages of 10 students are listed below. Find the median grade point
average. 3.15, 3.62, 2.54, 2.81, 3.97, 1.85, 1.93, 2.63, 2.50, 2.80
81. Find out the mean driving speed for 6 different cars on the same highway. 66 mph, 57
mph, 71 mph, 54 mph, 69 mph, 58 mph
82. Find out the mean swimming time rounded to the nearest tenth: 2.6 min, 7.2 min, 3.5 min, 9.8
min, 2.5 min
83. Find out the mean of the whole numbers: 1, 8, 7, 6, 8, 3, 2, 5, 4, 5
84. 5.3, 5.5, 2.2, 4.8, 3.2. Find out the mean
85. Find out the mean rounded to the nearest tenth: 0.34, 0.12, 0.48, 0.56, 0.71, 0.8, 0.65, 0.82
86. Employees at a retail store are paid the hourly wages listed below. What is the mean hourly
wage?
$7.50, $9.25, $8.75, $9.50, $7.25, $8.75
87. What is the mean test score? 83, 71, 91, 79, 87, 80, 95, 79, 91, 85, 94, 73

15. 88. Laura's math test grades are 87, 93, 89 and 85. What grade must she get on the fifth test
in order to get a mean of 90 for the term?
89. A small company has a limited budget for salaries. It can afford to pay an average of
$35,000 a year to its employees. If the first 5 employees are paid:
$37,000, $38,000, $33,000, $39,000 and $29,000, then how much money can they pay
the sixth employee without exceeding their budget?
90. During the first marking period, Nicole's math quiz scores were
90, 92, 93, 88, 95, 88, 97, 87, and 98. What was the median quiz score?
91. Seven teenagers receive the allowances listed below. What is the median allowance?
$15, $10, $12, $18, $14, $15, $8
92. The annual snowfall in inches for New York City for the last 9 years is listed below. Find the
median snowfall.
20.5 in, 26.1 in, 32.5 in, 18.9 in, 33.4 in, 29.7 in, 19.8 in, 25.6 in, 34.3 in
93. Find the mean, median, mode, and range for the following list of values:
13, 18, 13, 14, 13, 16, 14, 21, 13
94. Quartile deviation from the following data is 6, 7, 7, 8, 3, 5, 6, 3, 9, 8
95. For 4 consecutive years, a homeowner buy oil for the furnace hearth at a price of $ 0.80 each,
0.90, 1.05, 1.25 per gallon. what is the mean price and determine the median

16. 96. Find out the mean, median and mode for each set of numbers below:
(a) 7, 4, 10, 9, 15, 12, 7, 9, 7 (b) 8, 11, 4, 3, 2, 5, 10, 6, 4 1, 10, 8, 12, 6, 5, 7
97.
Time to Number of
Watch Students
(per minute)
300 – 339 14
400 – 499 46
500 – 599 58
600 – 699 76
700 – 799 68
800 – 899 62
900 - 999 48
1000 – 1099 22
1100 - 1199 6
a. What is the range
b. What is the mean, median and mode
c. Find out the second and the third quartile
d. Find out the ninth decile
e. Find out the 25th, 35th and 40th percentile
f. Determine the Variance and Standar Deviation

17. 98. The annual mortality data in the United States (engineering)
300
250
200
2003
150
2006
100 2009
50
0
1-4 5-14 15-24 25-34 35-44 45-54 55-64 65-74 75-84 85+
From the data above
- find out the mean of mortality value (2003, 2006, 2009)
- find out the median and mode (2003, 2006, 2009)
- find out the third quartile (2003), the fourth decile (2006) and 20th percentile (2009)
- find out the Variance and Standar Deviation (2003)
99. D 30 - 39 40 - 49 50 - 59 60 - 69 70 - 79 80 - 89 90 - 100
F 9 32 43 21 11 3 1 120
- Find out the mean, median and mode from the data above
- Find out the Q2, 6th decile, 15th

18. 100. Employee Wage Data of PT . Internusa2000
40
30
20
10
0
$250 -269 $270 - 289 $290 -309 $310 - 329
Find out the mean, median and mode of wage value
101.
Weight per pound
14
12
10
8
6
4
2
0
118 - 126 127 - 135 136 - 144 145 - 153 154 - 162 163 - 171 172 - 180
Find out the Second Quartile, 7th decile and 25th percentile

19. 102. D Tab. Freq F
118 – 122 | 1
123 – 127 || 2
128 – 132 || 2
133 – 137 |||| 4
138 – 142 |||| | 6
143 – 147 |||| ||| 8
148 – 152 |||| 5
153 – 157 |||| 4
158 - 162 || 2
163 – 167 ||| 3
168 - 172 || 2
173 - 177 | 1
Find out the Variance and Standar Deviation from data above

20. Thank you