Don't lose your points!
Sign up and save them.
Box and Whisker Plots

Box and Whisker Plots

Author: Daniel Nelson

Describe how to organize data into box-and-whisker plots, as well as explain quartiles and their function

There is a video walkthrough of box and whiskers as well as a diagram to look at and a problem to try for yourself

See More

Try Our College Algebra Course. For FREE.

Sophia’s self-paced online courses are a great way to save time and money as you earn credits eligible for transfer to over 2,000 colleges and universities.*

Begin Free Trial
No credit card required

28 Sophia partners guarantee credit transfer.

263 Institutions have accepted or given pre-approval for credit transfer.

* The American Council on Education's College Credit Recommendation Service (ACE Credit®) has evaluated and recommended college credit for 25 of Sophia’s online courses. More than 2,000 colleges and universities consider ACE CREDIT recommendations in determining the applicability to their course and degree programs.


Things to know

Median: the middle number in a set of data

(i.e. in the data set 11 12 13 14 15, 13 is the median. There are 5 pieces of data, so the 3rd piece is the middle because it has 2 pieces of data above and below it. In this case, the 3rd number is 13.)

Quartiles: Three values which divide the data set into four equal parts, with each part containing 25% of the data

(i.e. if our data is 1 1 3 3 5 5 7 7, our first quartile is said to be 2, because 2 data pieces are below it, our second quartile is 4 because there are two data pieces between it and quartile 1). this idea is also explained more in the video below.

Also...quartile 2 is the same as the median because it falls in the middle of the entire set

Once you have Q2, you can easily find Q1 by finding the middle number in the half of the data below the median, while Q3 is found by finding the middle number in the half of the data above the median

Box-and-Whisker plot: a graph used to easily display a set a data

Box and Whisker Explanation

This video explains how to find quartiles and draw a box and whisker plot. If you want a clearer drawing of the box, look below.

Explanation Cont.

Examples for you to try

Some problems for you to try. I would for sure recommend trying example number two if you thought the examples given in the explanation were simple.

A little fun...