Associated Topics || Dr. Math Home || Search Dr. Math

### Mean, Median, Mode, Range

```
Date: 11/23/97 at 20:13:14
From: Jamie Higham
Subject: Math definitions

What are definitions for mean, median, mode, and range?
```

```
Date: 11/23/97 at 21:06:14
From: Doctor Scott
Subject: Re: Math definitions

Hi Jamie!

Let's define each of the words and give an example.

Consider the set of numbers  80, 90, 90, 100, 85, 90.  They could be

The MEAN is the arithmetic average, the average you are probably used
to finding for a set of numbers - add up the numbers and divide by how
many there are:  (80 + 90 + 90 + 100 + 85 + 90) / 6 = 89 1/6.

The MEDIAN is the number in the middle. In order to find the median,
you have to put the values in order from lowest to highest, then find
the number that is exactly in the middle:

80   85   90   90   90   100
^
since there is an even number of values, the MEDIAN is
between these two, or it is 90. Notice that there is
exactly the same number of values ABOVE the median as
BELOW it!

The MODE is the value that occurs most often. In this case, since
there are 3 90's, the mode is 90. A set of data can have more than one
mode.

The RANGE is the difference between the lowest and highest values.
In this case 100 - 80 = 20, so the range is 20. The range tells you
something about how spread out the data are. Data with large ranges
tend to be more spread out.

-Doctor Scott,  The Math Forum
Check out our web site!  http://mathforum.org/dr.math/
```
Associated Topics:
Middle School Definitions
Middle School Statistics

Search the Dr. Math Library:

 Find items containing (put spaces between keywords):   Click only once for faster results: [ Choose "whole words" when searching for a word like age.] all keywords, in any order at least one, that exact phrase parts of words whole words

Submit your own question to Dr. Math
Math Forum Home || Math Library || Quick Reference || Math Forum Search