Solving Arithmetic Mean

Introduction to arithmetic mean:

     Arithmetic mean is the important concept in mathematical statistics.   Arithmetic mean is also referred to as average or mean.  Arithmetic mean is the ratio between the sum of all values and  number of values.  In this  article we have to learn about how to solving arithmetic mean problems through examples.

Formula to find arithmetic mean = Sum of elements / Total number of elements.

Brief Explanation of Solving Arithmetic Mean

Formula for finding arithmetic mean:

     Arithmetic mean = `(Sumof all the values)/(Number of values)`

     It is simply called as A.M.  Arithmetic mean values are usually mentioned in decimal point values.

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Example Problems on Solving Arithmetic Mean

Example 1:

Solving the arithmetic mean for the following values 78, 89, 24,56,77,14, 19

Solution:

The given values are 78, 89, 24,56,77,14, and 19

Formula for finding the arithmetic mean

Arithmetic mean= `(Sumof all the values)/(Number of values)`

Here the sum of values = 78+ 89+ 24+56+77+14+ 19

Adding this we can get,

Sum=357

Here the number of values=7

Therefore arithmetic mean =`(357)/(7)` = 51

This is the arithmetic mean of the given values.

Example 2:

Solving the arithmetic mean for the consecutive four odd numbers u+21, u+23, u+25, u+27

Solution:

The given values are u+21, u+23, u+25, u+27

Formula for finding the arithmetic mean

Arithmetic mean=`(Sumof all the values)/(Number of values)`

Here the sum of values = u+21+ u+23+ u+25+ u+27

Adding this we can get,

Sum=4u+96

Here the number of values=4

Therefore arithmetic mean =`(4u+96)/(4)` = u+24

This is the arithmetic mean of the given values.

Example 3:

Solving the arithmetic mean for the consecutive numbers y, y+1, y+2, y+3, y+4, y+5, y+6

Solution:

The given values are y, y+1, y+2, y+3, y+4, y+5,y+6

Formula for finding the arithmetic mean

Arithmetic mean= `(Sumof all the values)/(Number of values)`

Here the sum of values = y+ y+1+ y+2+ y+3+ y+4+ y+5+y+6

Adding this we can get,

Sum=7y+21

Here the number of values=7

Therefore arithmetic mean =`(7y+21)/(7)` = y+3

This is the arithmetic mean of the given values.