Question

If the standard deviation of number $3,4,8,14,16$ is $5.21,$ then the standard deviation of number $6,7,11,17,19$ is

• A. $1.74$
• B. $5.21$
• C. $10.42$
• D. $15.63$

Answer 1

The correct option is B $5.21$

The standard deviation is independent of the change of origin.

It means if the standard deviation of $x_1,x_2,x_3,....,x_n$ is $\sigma ,$ then the standard deviation of $x_1+a,x_2+a,x_3+a,....,x_n+a$ is also $\sigma .$