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Q.
The standard deviation of a variable $ x $ is $ 10 $ . Then the standard deviation of $ 50 + 5x $ is
AMUAMU 2019
Solution:
Given that, the standard deviation (S.D.) of the variable $x$ is $10 $.
Standard deviation of $50+5 x=5\left|\sigma_{x}\right|$
$=50 \left[\because \sigma_{x}=10\right]$