How do you find the standard deviation for 11, 12, 14, 14, 14, 14, 19?

Nov 4, 2014

Find the mean $\mu$ of the set.

$\mu = \frac{11 + 12 + 14 + 14 + 14 + 14 + 19}{7} = 14$

Standard deviation $\sigma$ can be found by

$\sigma = \sqrt{\frac{{\left(11 - 14\right)}^{2} + {\left(12 - 14\right)}^{2} + {\left(14 - 14\right)}^{2} + {\left(14 - 14\right)}^{2} + {\left(14 - 14\right)}^{2} + {\left(14 - 14\right)}^{2} + {\left(19 - 14\right)}^{2}}{7}} \approx 2.33$

I hope that this was helpful.