# Can a data set with two or three numbers have a standard deviation?

##### 1 Answer

Oct 29, 2015

Yes it can.

#### Explanation:

Yes. It is possible to calculate the standard deviation of any non empty set of numbers. However it would be difficult to interpret such value for such a small set of data.

Examples:

- A sigle number would have a deviation of zero:

Let

The mean

The standard deviation:

In this case

- Let
#A# be a set of 4 numbers:#A={2,3,5,8}#

The mean

The deviation would be: