Question

What is the mean of first $10$ natural numbers?

Answer 1

Determine the mean of first $10$ natural number.

First $10$ natural numbers are $1,2,3,4,5,6,7,8,9,10$.

Calculate the mean:

$\mathbf{Mean}\mathbf{}\mathbf{=}\frac{\mathbf{Sum}\mathbf{}\mathbf{observations}\mathbf{}}{\mathbf{Total}\mathbf{}\mathbf{number}\mathbf{}\mathbf{of}\mathbf{}\mathbf{observations}}$

$\begin{array}{rcl}& \Rightarrow & \mathrm{Mean}=\frac{1+2+3+4+5+6+7+8+9+10}{10}\\ & \Rightarrow & \mathrm{Mean}=\frac{55}{10}\\ \therefore \mathrm{Mean}& =& 5.5\end{array}$

Hence, the required mean of first ten natural number is $5.5$.