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How To Calculate Percentage Distribution From Frequency Distribution?

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Frequency distribution table is made to arrange the values of a discrete or continuous distribution Set so that it becomes easy to manage such a huge data. In Statistics, frequency distribution method is of much use. If data values are such that they are cannot be handled, we make use of class intervals and find out frequency of occurrence for class values. Let us learn how to calculate Percentage distribution from frequency distribution with the help of an example.

In this case we make four columns; one denoting class intervals, one for frequency, one for relative frequency and the last one for percentage distribution. Suppose we have the following data distribution: 24, 22, 54, 55, 41, 46, 27, 81, 35, 60, 40, 54, 40, 44, 58, 62, 22, 25, 10, 4, 40, 3, 2, 92, 86, 52, 90, 10, 14, 44 and 100.

1st we arrange the given set in a particular mathematical order (descending or ascending): 2, 3, 4, 5, 10, 10, 14, 22, 22, 24, 25, 27, 35, 40, 40, 40, 41, 44, 44, 52, 54, 54, 55, 58, 62, 81, 84, 86, 90, 92 and 100. No we can decide the class intervals as follows: 1 – 10, 11 – 20, 21 – 30, 31 – 40, 41 – 50, 51 – 60, 61 – 70, 71 – 80, 81 – 90, and 91 – 100. Frequency distribution table for evaluating percentage distribution can be made s follows:

DATA VALUE

FREQUENCY

Relative Frequency

% distribution

1 – 10

6

6 /30

20

11 – 20

1

1 /30

3.33

21 – 30

5

5 /30

16.65

31 – 40

3

3 /30

10

41 – 50

3

3 /30

10

51 – 60

5

5 /30

16,65

61 – 70

1

1 /30

3.33

71 – 80

0

0 /30

0

81 – 90

4

4 /30

13.33

91 – 100

2

2 /30

6.66

Total Frequency = 30