The median of 100 observations grouped in classes of equal width is 25.

Question

The median of 100 observations grouped in classes of equal width is 25. If the median class interval is 20-30 and the number of observations less than 20 is 45, then the frequency of median class is

Accepted Answer

Median formula: $M = l+\dfrac{\frac N2-F}{f}\times C$, with $l=20$, $N=100$, $F=45$, $C=10$, $M=25$.

$$25 = 20+\frac{50-45}{f}\times10 \implies 5 = \frac{50}{f} \implies f=10$$

Solutions · 1