Question

Find the median of the following values:
30, 20, 15, 10, 25, 35, 18, 21, 28, 40, 36

Answer 1

First of all, we need to arrange the given data in an ascending order. Thus, the data is presented below as:
10, 15, 18, 20, 21, 25, 28, 30, 35, 36, 40
N = 11
Median = size of ${\left(\frac{N+1}{2}\right)}^{th}$ item
or, Median = size of ${\left(\frac{11+1}{2}\right)}^{th}$ item
Thus, Median is given by the size of 6^th item. Now, let's locate the sixth item in the data (as arranged in the ascending order)
$\mathrm{10,\; 15,\; 18,}20,\mathrm{21,}\overline{)25},\mathrm{28,}\mathrm{30,}\mathrm{35,}\mathrm{36,}40$
Therefore, Median of the data so given is 25.