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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 175-185As 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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