The **sample variance** tells us how spread out the values are in a given sample.

Typically denoted as s^{2}, it is calculated as:

s^{2} = Σ (x_{i} – x)^{2} / (n-1)

where:

**x**: sample mean**x**: the i_{i}^{th}value in the sample**n**: the sample size

The following step-by-step example shows how to calculate the sample variance for the following sample:

**Sample:** 2, 4, 4, 7, 8, 12, 14, 15, 19, 22

**Step 1: Enter the Data**

First, we will enter the data values.

Press Stat, then press EDIT. Then enter the values of the sample in column L1:

**Step 2: Find the Sample Variance**

Next, press Stat and then scroll over to the right and press CALC.

Then press 1-Var Stats.

In the new screen that appears, press Enter.

Once you press Enter, a list of summary statistics will appear.

The sample standard deviation is Sx = **6.783149056**.

To find the sample variance, we need to square this value. To do so, press VARS and then press 5:

In the new window that appears, press 3 to select the sample standard deviation:

Lastly, press the x^{2} button to square the sample standard deviation:

The sample variance turns out to be **46.0111**.

**Additional Resources**

How to Find a Five Number Summary on a TI-84 Calculator

How to Find Interquartile Range on a TI-84 Calculator

How to Find Coefficient of Variation on a TI-84 Calculator