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Arithmetic Mean by Deviation Method

The mean and ...

Question

The mean and standard deviation of a random variable $x$ is given by $5$ and $3$ respectively. The standard deviation of $2 - 3 x$ is _____

A

- 7

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B

81

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C

34

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D

9

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Solution

The correct option is D $9$
$σ (2 - 3 x) = σ (- 3 x) = | - 3 | σ (x) = 3 \times 3 = 9$

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