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  4. The standard deviation of 5 scores 1,2,3,4,5 is √ a . The value of 'a ' is

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Q. The standard deviation of $5$ scores $1,2,3,4,5$ is $\sqrt{ a }$. The value of '$a$ ' is

Statistics

Solution:

Mean $(\bar{x})=\frac{1+2+3+4+5}{5}=3$
S. $D =\sigma=\sqrt{\frac{1}{5}(1+4+9+16+25)-9}$
$=\sqrt{11-9}=\sqrt{2}$