*70*

A **five number summary** is a way to summarize a dataset using the following five values:

- The minimum
- The first quartile
- The median
- The third quartile
- The maximum

By simply knowing these five values, we can know a great deal about a dataset.

The following step-by-step example shows how to find the five number summary for the following dataset on a TI-84 calculator:

**Dataset:** 4, 6, 6, 7, 8, 12, 15, 17, 20, 21, 21, 23, 24, 27, 28

**Step 1: Enter the Data**

First, we will input the data values. Press Stat, then press EDIT. Then enter the values of the dataset in column L1:

**Step 2: Find the Five Number Summary**

Next, press Stat and then scroll over to the right and press CALC. Then press 1-Var Stats.

In the new screen that appears, simply press Enter.

Once you press Enter, a list of summary statistics will appear. Scroll down to the very bottom of the list:

From this screen we can observe the five number summary:

- The minimum:Â
**4** - The first quartile (Q1):
**7** - The median:Â
**17** - The third quartile (Q3):
**23** - The maximum:
**28**

These five numbers summarize the distribution of values in our original dataset.

We can also use these numbers to find the following metrics:

- Range: Maximum â€“ Minimum = 28 â€“ 4 =
**4** - Interquartile Range: Q3 â€“ Q1 = 23 â€“ 7 =Â
**16**

These two metrics give us an idea of how spread out the values are in the dataset.

**Additional Resources**

How to Perform a One Sample t-test on a TI-84 Calculator

How to Perform a Two Sample t-test on a TI-84 Calculator

How to Calculate Confidence Intervals on a TI-84 Calculator