Question

The average of a set of $4$ numbers is $5$. A numbers $0$ is included to the set. find the average of the new set of $5$ numbers.

Answer 1

Given the average of set of $4$ numbers is $5$.

No" of number $=4$

Average $=5$

we know average $=\frac{Sumofnumbers}{No.ofnumbers\left(observation\right)}$

$5=\frac{sumofnumbers}{4}$

Sum of numbers $=5\times 4=20$

Here numbers 'O' is included to the set then increase the new set No" of numbers is $4+1=5$

value of add numbers is 'O'

So new sum of numbers $=20+0=20$

$\therefore$ The average of the new set of 6 numbers $=\frac{newsumofnumbers}{noofnumbers\left(observation\right)}$

$=\frac{20}{5}$

$=4$