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What is the standard deviation of the fo...

What is the standard deviation of the following data ?
`{:("Measurement",0-10,10-20,20-30,30-40),("Frequency",1,3,4,2):}` (a) 81 (b) 7.6 (c) 9 (d) 2.26

A

81

B

7.6

C

9

D

2.26

Text Solution

Verified by Experts

The correct Answer is:
C

`sigma^(2)=c^(2)[(sum f_(i)u_(i)^(2))/(sum f_(i))-((sum f_(i)u_(i))/(sum f_(i)))^(2)]`
`=10^(2)[(9)/(10)-((-3)/(10))^(2)]=90-9=81`
`implies sigma =9`
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