Question

The mean of following numbers is 68. Find the value of 'x'
45, 52, 60, x, 69, 70, 26, 81 and 94
Hence, estimate the median. [3 MARKS]

Answer 1

Formula: 1 Mark
Solution: 2 Marks

Mean $=\frac{45+52+60+x+69+70+26+81+94}{9}$
$\Rightarrow 68=\frac{497+x}{9}$
$\Rightarrow 612-497=x$
$\Rightarrow x=115$
Now, we have: 26, 45, 52, 60, 69, 70, 81, 94, 115
As n = 9, median $={\left(\frac{n+1}{2}\right)}^{th}=5^{th}term=69$