Following is the frequency distribution table of the mark obtained by 40 students in economics in a school. Prepare ‘less than’ and ‘more than’ cumulative frequency distribution table from it.
Class -No. of Student
0–20 (5)
20–40 (7)
40–60 (23)
60–80 (3)
80–100 (2)
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Solution :-
Class Number of Student (frequency)
0 - 20 5
20 - 40 7
40 - 60 23
60 - 80 3
80 - 100 2
The above table can be written as less than and more than cumulative frequency distribution table.
1) Less Than Cumulative Frequency Distribution Table -
Class Cumulative Frequency
Less than 20 5
Less than 40 5 + 7 = 12
Less than 60 12 + 23 = 35
Less than 80 35 + 3 = 38
Less than 100 38 + 2 = 40
_____________________________________________________________
2) More Than Cumulative Frequency Distribution Table -
Class Cumulative Frequency
More than 0 40
More than 20 40 - 5 = 35
More than 40 40 - (5 + 7) = 28
More than 60 40 - (5 + 7 + 23) = 5
More than 80 40 - (5 + 7 + 23 + 3) = 2
_____________________________________________________________
Class Number of Student (frequency)
0 - 20 5
20 - 40 7
40 - 60 23
60 - 80 3
80 - 100 2
The above table can be written as less than and more than cumulative frequency distribution table.
1) Less Than Cumulative Frequency Distribution Table -
Class Cumulative Frequency
Less than 20 5
Less than 40 5 + 7 = 12
Less than 60 12 + 23 = 35
Less than 80 35 + 3 = 38
Less than 100 38 + 2 = 40
_____________________________________________________________
2) More Than Cumulative Frequency Distribution Table -
Class Cumulative Frequency
More than 0 40
More than 20 40 - 5 = 35
More than 40 40 - (5 + 7) = 28
More than 60 40 - (5 + 7 + 23) = 5
More than 80 40 - (5 + 7 + 23 + 3) = 2
_____________________________________________________________
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