First slide

Introduction to statistics

Question

If the variance of the data $2, 4, 5, 6, 8, 17$ is $23.33,$ then the variance of $4, 8, 10, 12, 16, 34,$ is

Moderate

A

$23.23$
B

$25.33$
C

$46.66$
D

$93.32$

Solution

We know that
$Var (a X) = a^{2} Var (X)$
$∴$ Required variance $= 2^{2} \times 23.33 = 93.32$

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