Question

Find the median of:

First ten even numbers

Answer 1

Step 1: Listing down the first ten even numbers

First ten even numbers are $2,4,6,8,10,12,14,16,18,20$

Step 2: Finding the median of first ten even numbers

The numbers are already arranged in ascending order: $2,4,6,8,10,12,14,16,18,20$

Number of observation $=10$, which is even

$\therefore$Median is the mean of ${\left(\frac{10}{2}\right)}^{\mathrm{th}}\mathrm{and}{\left(\frac{10}{2}+1\right)}^{{\mathrm{th}}^{}}$ observation

i.e. mean of $5^{\mathrm{th}}\mathrm{and}{6}^{\mathrm{th}}$ observation

$\therefore$Median $=\frac{10+12}{2}$

$=\frac{22}{2}=11$

Hence, the median of first ten even numbers is $11$.