Question

The standard deviation of a variable $x$ is $10$ . Then the standard deviation of $50+5x$ is

• A. 50
• B. 550
• C. 10
• D. 500

Answer 1

Answer: (A)

Given that, the standard deviation (S.D.) of the variable $x$ is $10$.
Standard deviation of $50+5x=5\left|{\sigma }_x\right|$
$=50\left[\because {\sigma }_x=10\right]$