Average Of Many Numbers


We learnt  about the average of two numbers. Today we will see, how to calculate the average of many number and some their interesting properties.
Like the average of two numbers is $\dfrac{Sum\ of\ the\ numbers}{2}$, if we have more than two numbers the average of these numbers, is $\dfrac{Sum\ of\ all\ the\ numbers}{Count\ of\ the\ numbers}$.

So, we can calculate the average of $15$, $20$, $27$ by taking the sum of the three numbers and dividing by $3$, that is:

$\dfrac{16+20+27}{3} = \dfrac{63}{3} = \dfrac{21}{1} = 21$

Likewise, we can find the average of $4$ numbers, by taking the sum of the numbers and dividing by $4$.
The average of $129$, $94$, $112$ and $213$

$= \dfrac{129 + 94 + 112 + 213}{4} = \dfrac{548}{4} = 137$

Let us understand a very important concept of average. Average indicates, if all the values were the same for the given total of all the values, then how much would be each value?
Like, we saw that the average of $129$, $94$, $112$ and $213$ is $137$.
This means, instead of the members being different values, if they were the same value, $137$, then the sum would be same.
$129 + 94 + 112 + 213 = 548$
$137 + 137 + 137 + 137 = 548$