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  • 9. The standard deviation of a data set is 3. If each value is multiplied by 5 then the new variance is a. 3 b. 15 c. 5 d. 225

9. The standard deviation of a data set is 3. If each value is multiplied by 5 then the new variance is a. 3 b. 15 c. 5 d. 225

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\\ \text{S.d. or} \ \sigma = 3 \\ \sigma$ gets multipled by k if each value is multiplied by k $$ \\ \\ \begin{aligned} \text { Now } & \sigma=3 \times 5=15 \\ v &=\sigma^{2} \\ &=(15)^{2}= {225} \end{aligned} $$

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Deependra Verma

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