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Question

Marks of the 100 students are distributed in the grouped frequency distribution table.

Class marks (Marks) 150 160 170 180 190 200
No. of Students 23 14 16 11 21 15

What is the class interval for the group having frequency 11 ?

A
170-180
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B
175-185
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C
160 - 170
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D
165 - 175
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Solution

The correct option is B 175-185
As class marks or midpoints are given, class intervals need to be calculated from the class marks.

Difference between the two successive classes = h = 160 - 150 =10.

If x is the class marks then, lower and upper boundary of every class is x - h2 and x + h2

Hence, for the group having frequency 11,

Lower boundary = 180 - 102 = 175
Upper boundary = 180 + 102 = 185

The class interval is 175 - 185.

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