Define Arithmetic Mean

Introduction :

In day-to-day life, we often came across the math word arithmetic mean or average. The arithmetic mean is defined as the sum of the total number of values divided by total number of values. In general math, the arithmetic mean can be defined easily since it involves simple operation. In this article define arithmetic mean, we are going to dicuss about finding the arithmetic mean of given values. In addition, practice problems are given to understand about arithmetic mean.

Example Problems to Define Arithmetic Mean:

The example problems for learning arithmetic mean are as follows:

Example 1:

Find the arithmetic mean of the given data set: { 12, 10, 23, 32 }

Solution:

Arithmetic mean   =  `( 12 + 10 + 23 + 32) / 4`

=  ` 77/ 4`

= 19.25

Example 2:

Find the arithmetic mean of the given numbers 20, 30, 45, 62, 18, 35

Solution:

Arithmetic mean   =  `( 20 + 30 + 45 + 62 + 18 + 35) / 6`

=  ` 210/ 6`

= 35

Example 3:

Find the arithmetic mean of the given data set: { 26, 14, 35, 44 }

Solution:

Arithmetic mean   =  `( 26 + 14 + 35 + 44) / 4`

=  ` 119/ 4`

= 29.75

Example 4:

Find the arithmetic mean of the given numbers 42, 50, 12, 32, 26, 33

Solution:

Arithmetic mean   =  `( 42 + 50 + 12 + 32 + 26 + 33) / 6`

=  ` 195/ 6`

= 32.5

Example 5:

Find the arithmetic mean of the given data set: { 22, 32, 45, 50 }

Solution:

Arithmetic mean   =  `( 22 + 32 + 45 + 50) / 4`

=  ` 149/ 4`

= 37.25

Example 6:

Find the arithmetic mean of the given numbers 8, 10, 4, 6, 8, 11

Solution:

Arithmetic mean   =  `( 8 + 10 + 4 + 6 + 8 + 11) / 6`

=  ` 47/ 6`

= 7.83

Practice Problems to Define Arithmetic Mean:

The practice problems for learning arithmetic mean are as follows:

1) Find the arithmetic mean of the given data set: { 25, 35, 12, 22, 36 }

Answer: Arithmetic mean = 26

2) Find the arithmetic mean of the given numbers 40, 35, 25, 75, 43

Answer: Arithmetic mean = 43.6

3) Find the arithmetic mean of the given data set: { 30, 26, 45, 28, 44, 55 }

Answer: Arithmetic mean = 38

4) Find the arithmetic mean of the given numbers 100, 150, 200, 350, 260

Answer: Arithmetic mean = 212

5) Find the arithmetic mean of the given data set: { 17, 25, 37, 49, 66 }

Answer: Arithmetic mean = 38.8

6) Find the arithmetic mean of the given numbers 12, 36, 48, 60, 15

Answer: Arithmetic mean = 34.2

7) Find the arithmetic mean of the given numbers 25, 31, 40, 11, 12

Answer: Arithmetic mean = 23.8