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Parts of a Statistical Table 
 Table Heading – shows the table number and 
the title. 
 Table number - serves to give the table an 
identity. 
 Table title – briefly explains what are being 
presented.
 Body – it is the main part of the table which 
contains the quantitative information. 
 Stub – classification or categories found at the 
left side of the body of the table. 
 Box Head – the captions that appear above the 
column. It identifies what are contained in the 
column. 
Footnotes 
Source of Data
Example of Tabular Method 
Table 1 
Enrolment Profile 
College of Accountancy 
Mary the Queen College Pampanga 
A.Y. 2011 – 2012 
(First Semester) 
Subjects Number of Students Percentage (%) 
Accounting 3 121 10.77 
Finance 1 136 12.11 
English 3 99 8.82 
Math 3 130 11.58 
Computer 3 143 12.73 
Management 1 126 11.22 
Economics 1 122 10.86 
Theology 3 123 10.95 
Physical Education 3 123 10.95 
Total (N) 1,123 100% 
Percentage = (Number of Students/ N) x 100
1. Bar Graphs 
Vertical Bar Graph 
Horizontal Bar Graph 
2. Line Graph 
3. Pie Chart 
4. Pictograph
Year 2003 2004 2005 2006 2007 2008 2009 2010 2011 
Number of Enrollees 70 80 50 300 600 800 1000 1200 1800 
70 80 50 
300 
600 
800 
1000 
1200 
1800 
2000 
1800 
1600 
1400 
1200 
1000 
800 
600 
400 
200 
0 
2003 2004 2005 2006 2007 2008 2009 2010 2011 
Number of Enrollees 
Year 
Year 
Figure 1 Number of Enrollees of Mary the Queen College Pampanga
Year 2003 2004 2005 2006 2007 2008 2009 2010 2011 
Number of Enrollees 70 80 50 300 600 800 1000 1200 1800 
50 
80 
70 
300 
600 
800 
1000 
1200 
1800 
0 500 1000 1500 2000 
2011 
2010 
2009 
2008 
2007 
2006 
2005 
2004 
2003 
Year
70 80 50 
300 
600 
800 
1000 
1200 
1800 
2000 
1800 
1600 
1400 
1200 
1000 
800 
600 
400 
200 
0 
2003 2004 2005 2006 2007 2008 2009 2010 2011 
Number of Enrollees 
Year 
Number of Enrollees
Table 3 Monthly Expenses of a Filipino Family with Four Children 
Amount Percentage (%) Degrees (0) 
Food 9,000 64.3 231.5 
Transportation 2,000 14.3 51.5 
Miscellaneous 3,000 21.4 77 
Total 14,000 100 360
64.3% 
14.3% 
21.4% 
Food 
Transportation 
Miscellaneous 
Figure 3 Pie Chart showing the monthly expenses of a family with 
four children
It is the tabular arrangement of the 
gathered data by categories plus their 
corresponding frequencies and class 
marks or midpoints.
1. Range (R) – the difference between the highest score 
and the lowest score. 
2. Class Interval (k) – a grouping or category defined 
by a lower limit and an upper limit. 
3. Class Boundaries (CB) – these are also known as the 
exact limits, and can be obtained by subtracting 0.5 
from the lower limit of an interval and adding 0.5 to 
the upper limit interval.
4. Class Mark (x) – is the middle value or the midpoint 
of a class interval. It is obtained by getting the 
average of the lower class limit and the upper class 
limit. 
5. Class Size (i) – is the difference between the upper 
class boundary and the lower class boundary of a 
class interval 
6. Relative Frequency (RF) – these are the percentage 
distribution in every class interval. 
7. Class Frequency – it refers to the number of 
observations belonging to a class interval, or the 
number of items within a category.
Statistics Test Scores of 50 students. Construct a frequency 
distribution 
51 65 68 87 76 
56 69 75 89 80 
61 66 73 86 79 
70 71 54 87 78 
68 74 66 88 77 
67 73 64 90 77 
72 52 67 86 79 
74 59 70 89 85 
55 63 74 82 84 
57 68 72 81 83
Steps in Constructing a Frequency Distribution 
1. Find the range R, using the formula: 
R = Highest Score – Lowest Score k 
2. Compute for the number of class intervals, n, by using 
the formula: 
k = 1+3.3 log n
Note: The ideal number of class intervals 
should be 5 to 15. Less than 8 intervals are 
recommended for a data with less than 50 
observations/values. For a data with 50 to 
100 observations/values, the suggested 
number should be greater than 8.
Please note also that the few number of class 
intervals will result to crowded data while too many 
number of class intervals tend to spread out the data 
too much. 
3. Compute for the class size, I, using the formula: 
i = R/k 
4. Using the lowest score as lower limit, add (i – 1)to it to 
obtain the higher limit of the desired class interval.
5. The lower limit of the second interval may be obtained 
by adding the class size to the lower limit of the first 
interval. Add (i – 1) to the result to obtain the higher 
limit of the second interval. 
6. Repeat step 5 to obtain the third class interval, and so 
on, and so forth. 
7. When the n class intervals are completed, determine 
the frequency for each class interval by counting 
the elements.
Solution: 
1. R = Highest Score – Lowest Score 
R = 90 – 51 
R = 39 
2. k = 8 (desired interval) 
3. i = R/k 
i = 39/8 
i = 4.875 
i = 5
The Frequency Distribution of the Statistics Score of 50 
Students 
Class Interval f x Class Boundary 
LL - UL Lower Upper 
51 - 55 4 53 50.5 55.5 
56 - 60 3 58 55.5 60.5 
61 - 65 4 63 60.5 65.5 
66 - 70 10 68 65.5 70.5 
71 - 75 9 73 70.5 75.5 
76 - 80 7 78 75.5 80.5 
81 - 85 5 83 80.5 85.5 
86 - 90 8 88 85.5 90.5 
50
4 
3 
4 
10 
9 
7 
5 
8 
12 
10 
8 
6 
4 
2 
0 
51 - 55 56 - 60 61 - 65 66 - 70 71 - 75 76 - 80 81 - 85 86 -90 
Frequency 
Class Interval
Presentation of Data and Frequency Distribution
Presentation of Data and Frequency Distribution

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Presentation of Data and Frequency Distribution

  • 1.
  • 2.
  • 3.
  • 4. Parts of a Statistical Table  Table Heading – shows the table number and the title.  Table number - serves to give the table an identity.  Table title – briefly explains what are being presented.
  • 5.  Body – it is the main part of the table which contains the quantitative information.  Stub – classification or categories found at the left side of the body of the table.  Box Head – the captions that appear above the column. It identifies what are contained in the column. Footnotes Source of Data
  • 6. Example of Tabular Method Table 1 Enrolment Profile College of Accountancy Mary the Queen College Pampanga A.Y. 2011 – 2012 (First Semester) Subjects Number of Students Percentage (%) Accounting 3 121 10.77 Finance 1 136 12.11 English 3 99 8.82 Math 3 130 11.58 Computer 3 143 12.73 Management 1 126 11.22 Economics 1 122 10.86 Theology 3 123 10.95 Physical Education 3 123 10.95 Total (N) 1,123 100% Percentage = (Number of Students/ N) x 100
  • 7. 1. Bar Graphs Vertical Bar Graph Horizontal Bar Graph 2. Line Graph 3. Pie Chart 4. Pictograph
  • 8. Year 2003 2004 2005 2006 2007 2008 2009 2010 2011 Number of Enrollees 70 80 50 300 600 800 1000 1200 1800 70 80 50 300 600 800 1000 1200 1800 2000 1800 1600 1400 1200 1000 800 600 400 200 0 2003 2004 2005 2006 2007 2008 2009 2010 2011 Number of Enrollees Year Year Figure 1 Number of Enrollees of Mary the Queen College Pampanga
  • 9. Year 2003 2004 2005 2006 2007 2008 2009 2010 2011 Number of Enrollees 70 80 50 300 600 800 1000 1200 1800 50 80 70 300 600 800 1000 1200 1800 0 500 1000 1500 2000 2011 2010 2009 2008 2007 2006 2005 2004 2003 Year
  • 10. 70 80 50 300 600 800 1000 1200 1800 2000 1800 1600 1400 1200 1000 800 600 400 200 0 2003 2004 2005 2006 2007 2008 2009 2010 2011 Number of Enrollees Year Number of Enrollees
  • 11. Table 3 Monthly Expenses of a Filipino Family with Four Children Amount Percentage (%) Degrees (0) Food 9,000 64.3 231.5 Transportation 2,000 14.3 51.5 Miscellaneous 3,000 21.4 77 Total 14,000 100 360
  • 12. 64.3% 14.3% 21.4% Food Transportation Miscellaneous Figure 3 Pie Chart showing the monthly expenses of a family with four children
  • 13. It is the tabular arrangement of the gathered data by categories plus their corresponding frequencies and class marks or midpoints.
  • 14. 1. Range (R) – the difference between the highest score and the lowest score. 2. Class Interval (k) – a grouping or category defined by a lower limit and an upper limit. 3. Class Boundaries (CB) – these are also known as the exact limits, and can be obtained by subtracting 0.5 from the lower limit of an interval and adding 0.5 to the upper limit interval.
  • 15. 4. Class Mark (x) – is the middle value or the midpoint of a class interval. It is obtained by getting the average of the lower class limit and the upper class limit. 5. Class Size (i) – is the difference between the upper class boundary and the lower class boundary of a class interval 6. Relative Frequency (RF) – these are the percentage distribution in every class interval. 7. Class Frequency – it refers to the number of observations belonging to a class interval, or the number of items within a category.
  • 16. Statistics Test Scores of 50 students. Construct a frequency distribution 51 65 68 87 76 56 69 75 89 80 61 66 73 86 79 70 71 54 87 78 68 74 66 88 77 67 73 64 90 77 72 52 67 86 79 74 59 70 89 85 55 63 74 82 84 57 68 72 81 83
  • 17. Steps in Constructing a Frequency Distribution 1. Find the range R, using the formula: R = Highest Score – Lowest Score k 2. Compute for the number of class intervals, n, by using the formula: k = 1+3.3 log n
  • 18. Note: The ideal number of class intervals should be 5 to 15. Less than 8 intervals are recommended for a data with less than 50 observations/values. For a data with 50 to 100 observations/values, the suggested number should be greater than 8.
  • 19. Please note also that the few number of class intervals will result to crowded data while too many number of class intervals tend to spread out the data too much. 3. Compute for the class size, I, using the formula: i = R/k 4. Using the lowest score as lower limit, add (i – 1)to it to obtain the higher limit of the desired class interval.
  • 20. 5. The lower limit of the second interval may be obtained by adding the class size to the lower limit of the first interval. Add (i – 1) to the result to obtain the higher limit of the second interval. 6. Repeat step 5 to obtain the third class interval, and so on, and so forth. 7. When the n class intervals are completed, determine the frequency for each class interval by counting the elements.
  • 21. Solution: 1. R = Highest Score – Lowest Score R = 90 – 51 R = 39 2. k = 8 (desired interval) 3. i = R/k i = 39/8 i = 4.875 i = 5
  • 22. The Frequency Distribution of the Statistics Score of 50 Students Class Interval f x Class Boundary LL - UL Lower Upper 51 - 55 4 53 50.5 55.5 56 - 60 3 58 55.5 60.5 61 - 65 4 63 60.5 65.5 66 - 70 10 68 65.5 70.5 71 - 75 9 73 70.5 75.5 76 - 80 7 78 75.5 80.5 81 - 85 5 83 80.5 85.5 86 - 90 8 88 85.5 90.5 50
  • 23. 4 3 4 10 9 7 5 8 12 10 8 6 4 2 0 51 - 55 56 - 60 61 - 65 66 - 70 71 - 75 76 - 80 81 - 85 86 -90 Frequency Class Interval