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Q. Standard deviation $3,5,7,9,11,13$ is

Solution:

Mean $=8$
$S . D \cdot=\sigma=\sqrt{\frac{1}{n} \sum x_{1}^{2}-(\bar{x})^{2}}$
$=\sqrt{\frac{454}{6}-(8)^{2}}=\sqrt{\frac{35}{3}}$
$\therefore S . D \cdot=\sqrt{\frac{35}{3}}$