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Test scores out of 100 for a class of 20 students are as follows : 

93, 84, 97, 98, 100, 78, 86, 100, 85, 92, 55, 91, 90, 75, 94, 83, 60, 81, 95, 77. 

i) Make a frequency table taking class intervals as 51 – 60, 61 – 70,…………….. 

ii) Find the modal class. 

iii) Find the median class.

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i) Test scores of 20 students for 100 marks are given below 

93, 84, 97, 98, 100, 78, 86,100, 85, 92, 55, 91, 90, 75, 94, 83, 60, 81, 95, 77 

Range = Maximum value – Minimum value 

= 100 – 55 = 45

Length of the class / class interval = 10 

[∵ 51 – 60,61 -70] 

No. of classes

ii) Modal class : 91 – 100 

[ ∵ maximum frequency is 10, which 

corresponds to the C.l → 91 – 100] 

iii) Median class : 81 – 90

[∵ N/2 occurs at the cumulative frequency 10, which corresponds to the C.I 81 – 90]

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