Question

If standard deviation of the values 2, 4, 6, 8 is 2.236, then standard deviation of the values 4, 8, 12, 16 is​

Answer 1

$\underline{\textsf{Given:}}$

$\textsf{Standard deviation of 2,4,6,8 is 2.236}$

$\underline{\textsf{To find:}}$

$\textsf{Standard deviation of 4,8,12,16}$

$\underline{\textsf{Solution:}}$

$\textsf{We know that,}$

$\boxed{\begin{minipage}{9cm} \\\textsf{If each data is multiplied by a constant k, the new}\\\\\textsf{standard deviation is}\;\mathsf{k}\;\textsf{times the old standard deviation} \end{minipage}}$

$\textsf{Then,}$

$\textsf{Standard deviation of 4,8,12,16}$

$\mathsf{=2{\times}}\textsf{old standard deviation}$

$\mathsf{=2{\times}2.236}$

$\mathsf{=4.472}$

$\underline{\textsf{Answer:}}$

$\textsf{Standard deviation of new set of data is 4.472}$

Find more:

If the variance of 1,2,3,4......

..,10 is 99/12 , then S.D. of 3,6,9,12 ......,30 is

https://brainly.in/question/22014254