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.

null

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!

null

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.

null

To unlock this lesson you must be a Study.com Member.
Create your account

Register to view this lesson

Are you a student or a teacher?

Unlock Your Education

See for yourself why 30 million people use Study.com

Become a Study.com member and start learning now.
Become a Member  Back
What teachers are saying about Study.com
Try it risk-free for 30 days

Earning College Credit

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Transferring credit to the school of your choice

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

Create an account to start this course today
Try it risk-free for 30 days!
Create an account
Support