# 5 Number Summary in Statistics

Instructor: Kelley Lipke

Kelley has been teaching middle school for six years and has a master's degree in educational administration.

You will learn about the 5 number summary in statistics. This includes finding the median, lower extreme, upper extreme, lower quartile, and upper quartile.

## Movie Ticket Prices

Tom wants to collect data, or information, on the price of movie tickets at different theaters in his neighborhood. To do this, Tom will visit all the theaters to find out the price of their tickets. Then, Tom will need to find the 5 number summary of the data in order to better understand the information he got.

The 5 number summary of a set of data includes the median, the lower extreme, upper extreme, lower quartile, and the upper quartile. The 5 number summary helps you to better understand the data you are looking at.

This is the data Tom collected from the local theaters:

• \$4.00
• \$5.00
• \$4.50
• \$6.00
• \$5.00
• \$6.50
• \$5.50
• \$7.00
• \$5.00

## 5 Number Summary

### Median

The median is the middle number in a set of data. To find the median price of movie tickets, Tom needs to rewrite the prices in order from least to greatest. Remember to think of prices as decimals. Then, he will cross off one number on each end of the list until he only has one number left in the middle.

The median price of movie tickets is \$5.00.

### The Upper and Lower Extremes

There are two extremes in any given set of data: the lower extreme and the upper extreme. The lower extreme is the lowest number in the data set. The upper extreme is the highest number in the data set.

Looking at Tom's list of prices in order from least to greatest, we can see that the lowest number, or the lower extreme is \$4.00. The highest number, or upper extreme is \$7.00. That part was easy!

### The Upper and Lower Quartiles

In each set of data, there is the lower quartile and the upper quartile. The lower quartile is the median (middle number) of the lower half of the data set.

The upper quartile is the median (middle number) of the upper half of the data set.

Tom needs to divide the data into two halves, using the median as the center.

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