Question

The standard deviation of a set of $50$ items is $8$, what is the standard deviation, if each item is multiplied by $2$?

• A. $32$
• B. $8$
• C. $4$
• D. $16$

Answer 1

The correct option is D $16$

Standard deviation is the square root of the arithmetic mean of the squares of the deviations measured from the arithmetic mean of the data. If each value of the series is multiplied by 2, then the overall standard deviation will also be doubled as standard deviation is affected by the multiplication and division of the values.