What is the standard deviation of {44, 46, 33, 10, 50, 27}?

Feb 18, 2016

Standard Deviation is $5.578$

Explanation:

Before we find Standard Deviation, let us find mean of $\left\{44 , 46 , 33 , 10 , 50 , 27\right\}$. This is simply $\frac{44 + 46 + 33 + 10 + 50 + 27}{6}$ or $\frac{210}{6}$ or $35$.

Next find deviations of the terms from mean, which are $\left\{9 , 11 , - 2 , - 25 , 15 , - 8\right\}$.

Standard deviation is nothing but square root of the (average of squares of these deviations. Hence Standard Deviation is

$\sqrt{\frac{81 + 121 + 4 + 625 + 225 + 64}{6}}$ or $\frac{\sqrt{1120}}{6}$ or

$\frac{33.4664}{6}$ or $5.578$