Question

A data set has a standard deviation equal to $1$. If each data value in the data set is multiplied by $4$, then the value of the standard deviation of the new data set is equal to

• A. $0.25$
• B. $0.50$
• C. $1$
• D. $2$
• E. $4$

Answer 1

The correct option is E $4$

When each value is multipled by $x_1$

New Standard Deviation = (old standard Deviation) $\times x$

so, New Standard Deviation $=1\times 4=4$