# Median Definition

**Median** is defined as the **central **or **middle** term of any set of **numbers**. It is a **Mathematical** term used for finding the central **value** of any **data** set like **Mode** and **Mean**.

**Table of Contents**

To find the **Median** of the given **set** of numbers, you have to **arrange** it first in a particular **order** (**Ascending **or** Descending order**)**.** Let us show you an **example** for better clarification.

**Note:**

You can read about Ascending and Descending order in detail

**Example 1: **

Find the media of {2, 3, 5, 7, 8, 3, 5, 2, 7}

**Solution: **

First, we arrange the values in Ascending order.

{2, 2, 3, 3, 5, 5, 7, 7, 8}

The **middle** term of this **set** is **“5”** because it is **available** at the **central spot **of the set when counted from both **sides** of the set. So, you can **find** the **Median** of the given set in this **simplest** way.

## How to find the Median of the set having an odd number of digits?

To **find** the **Median** of a set with **odd numbers**, you only have to **arrange** them in **order**. After that, you start counting them from **both sides**. You will get a **term** in the **middle** of the set that will be the **Median** of that **particular** set.

**Example 2:**

First, we arrange the values in Ascending order.

{12, 12, 14, 13, 16, 2, 6, 7, 19, 11, 18, 10, 9}

**Solution: **

Let’s arrange the given set in ascending order, (you can also set it in descending order)

{2, 6, 7, 9, 10, 11, 12, 12, 13, 14, 16, 18, 19}

By **counting** it from both sides, we have **found** that **“12”** is the Median of the set because it **exists** in the center of the **set** which is the **7th** position.

### How to find the Median of the set having an even number of digits?

To find the **Median** of a set with an **even number** of **digits**, you have to perform an **extra step**. First of all, you need to **arrange** the set in your **desired order**. After that, you have to find the **two middle** terms of the set.

After getting the **pair** of **numbers**, you need to add them and **divide** by 2 to find the **Median**. Let us show you an example to find **media **of the set having **even numbers** of digits

**Example 3:**

Find the **Median** of the following set

{2, 3, 7, 8, 9, 10, 21, 13, 14, 16, 17, 18, 19, 21}

**Solution:**

Let us **arrange** this set in **Descending order**.

{2, 3, 7, 8, 9, 10, 13, 14, 16, 17, 18, 19, 21, 21}

We have 13 and **14** as the **middle terms** of the above **set**. So, we have to add them first and then divide by **2** to find the **Median**.

Addition of two terms = 13 + 14

Median = 27/2

Median = 13.5

### What is the difference between the Mean and Median?

The **median** shows the exactly **central term** of the given **set** of numbers while the **Mean** shows the average value of the overall set instead of showing a central term.

### FAQ's

**What do you mean by Median?**

Median means the central term of the given set of numbers. function.

**Can we say the median is the average of the numbers?**

Yes, we can say that it gives an approaching value of the average. But it doesn’t exactly give the value of the average of a set.

**Is it compulsory to arrange numbers for finding the Median?**

Yes, it is compulsory to arrange the numbers in a specific order for finding the Median.

**What is the benefit of finding the median?**

It is an efficient approach to reaching the central term that is useful for solving questions related to the central tendency in Statistics.