# What is the standard deviation of {1, 1, 1, 3, 3, 3}?

##### 1 Answer

Dec 13, 2015

Standard deviation (population):

#### Explanation:

The **mean** is clearly

Each value deviates from the mean by

So the square of each value's deviation from the mean is

and the average of the squared deviations (i.e. the variance,

Therefore the standard deviation (assuming the data represents the entire population) is