# Math Definitions - Letter M

### Chapters

### Median

# Definition of Median

The **median** of a list of numbers is the middle value when the numbers are placed in increasing or decreasing order.

To find the median of a list of numbers:

- Place the numbers in increasing order.
- Count the numbers.
- If there are an odd number of numbers, the middle one is the median.
- If there an even number of numbers, take the average of the two middle numbers to give the median.

For example, to find the median of the list \(\{3,1,5,7,2\}\):

- Place the numbers in increasing order: \(\{1,2,3,5,7\}\)
- Count the numbers: there are 5, which is odd.
- The middle one is the median: the median is the third number, which is \(3\).

For example, to find the median of the list \(\{3,1,5,7,2,4\}\):

- Place the numbers in increasing order: \(\{1,2,3,4,5,7\}\)
- Count the numbers: there are 6, which is even.
- The average of the two middle numbers is the median: the two middle numbers are \(3\) and \(4\). Their average is \(\dfrac{3 + 4}{2} = 3.5\).

### Description

The aim of this dictionary is to provide definitions to common mathematical terms. Students learn a new math skill every week at school, sometimes just before they start a new skill, if they want to look at what a specific term means, this is where this dictionary will become handy and a go-to guide for a student.

### Audience

Year 1 to Year 12 students

### Learning Objectives

Learn common math terms starting with letter M

Author: Subject Coach

Added on: 6th Feb 2018

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