Question

For the following set of numbers, find the median: [3 MARKS]
10, 75, 3, 81, 17, 27, 4, 48, 12, 47, 9, 15

Answer 1

Formula: 1 Mark
Solution: 2 Marks

On arranging the given numbers in ascending order, we get:
3, 4, 9, 10, 12, 15, 17, 27, 47, 48, 75, 81
Here, n = 12, which is an even number.
$\therefore Median=\frac{{\left(\frac{n}{2}\right)}^{th}term+{(\frac{n}{2}+1)}^{th}term}{2}$
$=\frac{{\left(\frac{12}{2}\right)}^{th}term+{(\frac{12}{2}+1)}^{th}term}{2}$
$=\frac{6^{th}term+7^{th}term}{2}=\frac{15+17}{2}=16$