Question

If the standard deviation of the values $2,4,6,8$ is $2.33$, then the standard deviation of the values $4,6,8,10$ is

• A. $0$
• B. $2.58$
• C. $4.66$
• D. None of these

Answer 1

The correct option is B $2.58$

Given data values are $4,6,8,10$

Mean of the data is $\frac{4+6+8+10}{4}=\frac{28}{4}=7$

Therefore standard deviation is $\sqrt{\frac{(4-7{)}^2+(6-7{)}^2+(8-7{)}^2+(10-7{)}^2}{4-1}}=\sqrt{\frac{20}{3}}=2.58$