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A cumulative frequency distribution is given below: Class 30 - 32 33 - 35 36 - 38 39 - 41 42 - 44 Cumulative frequency 5 12 20 33 42   Which one of the following classes has maximum frequency?

A cumulative frequency distribution is given below: Class 30 - 32 33 - 35 36 - 38 39 - 41 42 - 44 Cumulative frequency 5 12 20 33 42   Which one of the following classes has maximum frequency? Correct Answer 39 - 41

Concept:

Cumulative frequency is the sum of all the previous frequencies up to the current point.

The cumulative frequency is calculated by adding each frequency from a frequency distribution table to the sum of its predecessors. The last value will always be equal to the total for all observations since all frequencies will already have been added to the previous total.

Also, Frequency of any class = cumulative frequency of class - cumulative frequency of preceding class

Calculation:

Let's calculate the frequency of each class using the cumulative frequencies of each class:

Class Cumulative Frequency Frequency
30 - 32 5 5
33 - 35 12 7
36 - 38 20 8
39 - 41 33 13
42 - 44 42 9

 

Clearly, we can see that 39 - 41 has the maximum frequency i.e.,13.

Hence, 39 - 41 has the maximum frequency.

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