Range of a data set - Definition and Examples


In statistics, the range of a data set is the difference between the highest value and the lowest value in the data set.

Example #1

Albert earned the following scores in his math tests:

Chapter 1 test: 90

Chapter 2 test: 85

Chapter 3 test: 70

Chapter 4 test: 98

Chapter 5 test: 81

The highest score is 98 and the lowest score is 81.

To find the range, subtract the lowest value from the highest value.

Range  = 98 - 81 = 17

The range in Albert's score is 17

Example #2

Sarah earned the following scores in her math tests:

Chapter 1 test: 90

Chapter 2 test: 91

Chapter 3 test: 89

Chapter 4 test: 90.5

Chapter 5 test: 89.5

The highest score is 91 and the lowest score is 89.

To find the range, subtract the lowest value from the highest value.

Range = 91 - 89 = 2

The range in Sarah's score is 2

How useful is the range of a data set? Why do we need it?


The range of a set of data is a measure of variation. The range in the example #2 is much smaller than the range in example #1. This means that the scores do not vary a lot or are more consistent. This could mean that Sarah has a tendency to be always prepared to take a test.

Recent math words

  1. What is an abacus? Definition and Chinese Abacus

    Jan 18, 22 08:00 AM

    What is an abacus? Learn quickly and easily to use an abacus to do math.

    Read More

  2. Width of an Object

    Jan 17, 22 09:15 AM

    What is the width of an object? Definition, explanation, and easy to understand real life examples.

    Read More

Enjoy this page? Please pay it forward. Here's how...

Would you prefer to share this page with others by linking to it?

  1. Click on the HTML link code below.
  2. Copy and paste it, adding a note of your own, into your blog, a Web page, forums, a blog comment, your Facebook account, or anywhere that someone would find this page valuable.
Share this page: