Question

Write the first $10$ prime numbers and find their median.

Answer 1

First $10$ prime numbers

$2,3,5,7,11,13,17,19,23,29$

Here number of prime numbers $\left(n\right)=10$

So median is average of ${\frac{n}{2}}^{th}$ term & ${(\frac{n}{2}+1)}^{th}$ term

median $=\frac{{\frac{n}{2}}^{th}term+{(\frac{n}{2}+1)}^{th}term}{2}$

$=\frac{{\frac{10}{2}}^{th}terms+{(\frac{10}{2}+1)}^{th}term}{2}$

$=\frac{5^{th}term+6^{th}term}{2}$

median $=\frac{11+13}{2}$

$=\frac{24}{2}$

Median $=12$