# What is the standard deviation of {4, 6, 3, 7, 1, 3, 7, 8, 3, 6, 2, 5}?

Jan 22, 2016

First find the mean using the formula:
$m = {x}_{1} + {x}_{2} + {x}_{3} + \cdots + {x}_{n - 1} + {x}_{n}$
which can be written as
$\frac{1}{n} {\sum}_{i = 1}^{n} {x}_{i}$ where ${x}_{i}$ is the ith entry of your data above.
For you case n= 12; m = 1/12sum_(i=1)^12 x_i
Now that you have the mean the standard deviation is:
S = sqrt(1/12sum_(i=1)^12(x_i-m)^2

I think you should practice in calculating the mean and standard deviation by finishing it yourself. Just plug the numbers.
Good luck!