Question

find the mean and median of first 10 natural numbers.write your inference​

Answer 1

$\sf \Large Solution!!$

First 10 natural numbers → 1, 2, 3, 4, 5, 6, 7, 8, 9 and 10.

Mean = Sum of observations ÷ Number of observations

Mean = (1+2+3+4+5+6+7+8+9+10) ÷ 10

Mean = 55 ÷ 10

$\boxed{\blue{\sf Mean = 5.5}}$

Median (for even number of observations) = $\sf \dfrac{\bigg(\dfrac{n}{2}\bigg)^{th}term+\bigg(\dfrac{n}{2}+1\bigg)^{th}term}{2}$

Median = $\sf \dfrac{\bigg(\dfrac{10}{2}\bigg)^{th}term+\bigg(\dfrac{10}{2}+1\bigg)^{th}term}{2}$

Median = $\sf \dfrac{5^{th}term+6^{th}term}{2}$

Median = $\sf \dfrac{5+6}{2}$

Median = $\sf \dfrac{11}{2}$

$\boxed{\blue{\sf Median = 5.5}}$