Question

The median for the data is 22.5

$$\begin{array}{ccccc}Classinterval& 0-10& 10-20& 20-30& 30-40\\ Frequency& 7& 15& 16& 12\end{array}$$

• A. True
• B. False

Answer 1

The correct option is B False

Cumulative frequency which is greater than and closest to 25 is 38. Hence median class is 20 - 30

$$\begin{array}{ccc}ClassInterval& Frequency& CumulativeFrequency\\ 0-10& 7& 7\\ 10-20& 15& 22\\ 20-30& 16& 38\\ 30-40& 12& 50\end{array}$$

Median = LRL+$\left(\frac{\frac{N}{2}-f_c}{f_m}\right)$$\times$i,
where LRL stands for the lower real limit, $f_m$=frequency of median class, $f_c$=cumulative frequency above the median class and $i$=size of the class interval
Thus, Median=20+$\frac{25-22}{16}$$\times$10=21.875