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Question

The marks obtained by 40 students of Class XII of a certain school in a Science paper consisting of 200 marks are presented in table below. Find the mean of the marks obtained by the students using step deviation method.
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A
153.5
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B
154.5
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C
150.2
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D
156.5
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Solution

The correct option is C 153.5
Answer:- Using Shortcut Method
Class interval width (i) = 120100=20

Marks X Students
(F)
d=XAi Fd
100-120 110 4 -2 -8
120-140 130 5 -1 -5
140-160 150 = A11 0 0
160-180 170 20 1 20
ΣF=40 ΣFd=7
Mean ( By step deviation formula) = A+ΣFdΣF×i=150+(740×20)=150+3.5+=153.5
A) Mean = 153.5

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