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Question

If the variance of a list containing number 7,9,15,16,18 is  18 then the variance of list containing numbers 12,16,28,30,34 will be  


Your Answer
A
18
Your Answer
B
36
Correct Answer
C
72
Your Answer
D
76

Solution

The correct option is C 72
{Xi}={7,9,15,16,18}

As we can observe
observation  Xi=2×{Xi}2
Using property variance: Variance depends on only scale (xσ2kxk2σ2
Variance  σ2=22×Variance(σ2)σ2=4×18=72

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