Class Interval1−56−1011−1516−2021−25Frequency6152072 Class Interval 1 − 5 6 − 10 11 − 15 16 − 20 21 − 25 F r e q u e n c y 6 15 20 7 2 Estimate the median o...

$\begin{array}{cccccc}\text{Class Interval}& 1-5& 6-10& 11-15& 16-20& 21-25\\ Frequency& 6& 15& 20& 7& 2\end{array}$

Estimate the median of the frequency distribution above

Answer Details

Median = L + [$\frac{\frac{N}{2}-f}{fm}$]h
N = Sum of frequencies
L = lower class boundary of median class
f = sum of all frequencies below L
fm = frequency of modal class and
h = class width of median class
Median = 11 + [$\frac{\frac{50}{2}-21}{20}$]5
= 11 + ($\frac{25-21}{20}$)5
= 11 + ($\frac{\left(4\right)}{20}$)
11 + 1 = 12