Question

Find the median of:

First eight multiples of $8$

Answer 1

Step 1: Listing down the first eight multiples of $8$

First eight multiples of $8$ are $8,16,24,32,40,48,56,64$

Step 2: Finding the median of first eight multiples of $8$

The given observations are already arranged in ascending order: $8,16,24,32,40,48,56,64$

The number of observation is $8$, which is even.

$\therefore$Median is the mean of ${\left(\frac{8}{2}\right)}^{\mathrm{th}}\mathrm{and}{\left(\frac{8}{2}+1\right)}^{\mathrm{th}}$ observation

i.e. mean of $4^{\mathrm{th}}\mathrm{and}{5}^{\mathrm{th}}$ observation.

$\therefore$ Median $=\frac{32+40}{2}$

$=\frac{72}{2}=36$

Hence, the median of first eight multiples of $8$ is $36$