#### Learn mean, median and mode in very easy and short way. Generally this topic is being taught in the 4^{th} to 6^{th} grade depend upon State curriculum. 4^{th} graders have to find mean, median, mode and range for an easy set of data while 6^{th} grader have to solve word problem as well as some logical problem. Learn this topic with examples to make it Easy.

Let’s start with **Mean****:**

** **

**1) Mean= Average: Add all numbers and divide by number of numbers**

#### Let’s take an example: Find the mean for following set of data:

## 50, 20, 30, 40, 10

#### Add all numbers: 50+20+30+40+10=150

#### Now divide by number of numbers that mean count how many numbers are given. In this ex: there are 5 numbers so divide by 5

#### 150/5=30

### Mean= 150/5=30

** **

**2) Median=Middle Value or Middle Number**

** **

**Steps to find Median**

**1) Arrange your numbers in numerical order.**

**1) **If number of numbers is odd than you will directly get Median. It means if there are 5 different numbers than 3^{rd} number will be your median.

**2) **For Even numbers, you need to find an average of two middle numbers.

Let’s find Median for given set of data

**50, 20, 30, 40, 10**

**1) Arrange **in numerical orders: 10, 20, 30, 40, 50

**2) 3 ^{rd} number is middle of this set and that is number 30 so**

** ****Median=30**

**Here total numbers are 5 so it is odd number that mean you will find median directly but what will we do if there are 4, 6, 8 etc even numbers.**

**Example: Find Median for 10, 20, 30, 40, 50, 60**

**Here you can notice that total numbers is 6 so you have to pick middle two numbers that are 30 and 40 and find the average of this two numbers.**

**30+40=70**

**70/5= 35.5**** **

** **

**3) Mode= Most often repeated Number/Value**

**It is very easy to find…**

**Example: Find Mode for the 5, 5, 10, 15 and 30. **

**You can see number 5 comes for two times so**

**Mode=5**

** **

**Example: There are red, green, yellow and orange flowers in the garden. Find the mode.**

** **

**You can see no color is repeated, here you can say NO MODE**

** **

**4) Range= Largest value-Smallest Value **

** Or **

**Range= Difference between the largest and the smallest Numbers****/Values**

** **

**Example: ****Find**** ****Range**** for 10, 20, 30, 40, 50, 60**

** **

**Here, the largest number is 60 and the smallest number is 10 so**

**Range= 60-10**

**Range=50**

** **

**Examples: Find the mean, median, mode and range for the following set of data:**

**1) 21, 25, 26, 28**

**2) 65, 12, 54, 75, 78**

**3) 15, 45, 30, 60**

** **

**Solution**

1) Mean= 21+25+26+28=100 and 100/4=25

2) Median= total numbers are even so pick middle two numbers that is 25 and 26

25+26=51, take an average: 51/2=25.5

3) Mode= No mode because no repeating number

4) Range=28-21=7

Same ways do rest of the problems.

Word Problems:

1) What numbers could be inserted into the set of data 21, 22, 24, 28 so that median of the data is not changed?

2) The mean, median and mode for this set of data are equal: 15, 40, 25, 20, x. Find x

**Note for Parents: **

If your child know Addition, subtraction, Multiplication and Division than you can teach this chapter right away.

Resource: Math Books

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