Mean Median, Mode and Range: Math for 4th to 6th Grade: Easiest way with Examples

Learn mean, median and mode in very easy and short way. Generally this topic is being taught in the 4th to 6th grade depend upon State curriculum. 4th graders have to find mean, median, mode and range for an easy set of data while 6th 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 3rd 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) 3rd 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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