Question

The median for the data is

$\begin{array}{cccccccc}\text{IQ}& 60-70& 70-80& 80-90& 90-100& 100-110& 110-120& 120-130\\ \text{No. of pupils}& 2& 3& 5& 16& 14& 13& 7\end{array}$

• A. 102.86
• B. 98.46
• C. 97.47
• D. 103.26

Answer 1

The correct option is A

102.86

$\begin{array}{ccc}\text{Class Interval}& \text{Frequency}& \text{Cumulative Frequency}\\ 60-70& 2& 2\\ 70-80& 3& 5\\ 80-90& 5& 10\\ 90-100& 16& 26\\ 100-110& 14& 40\\ 110-120& 13& 53\\ 120-130& 7& 60\end{array}$

$\frac{n}{2}=30$
$\therefore$ the median class is 100-110
Median $=l+\left(\frac{\frac{n}{2}-cf}{f}\right)$$\times h$
$=100+\frac{30-26}{14}$$\times 10$
$=102.86$