Question

Consider the following frequency distribution:

Class	0-5	6-11	12-17	18-23	24-29
Frequency	13	10	15	8	11

Find the upper limit of the median class.

Answer 1

Class	Frequency	Cumulative frequency
0.5-5.5	13	13
5.5-11.5	10	23
11.5-17.5	15	38
17.5-23.5	8	46
23.5-29.5	11	57

N=57
$\therefore \frac{N}{2}=28.5$
The cumulative frequency just greater than 28.5 is 38 and its corresponding class is 11.5-17.5.

$$\begin{gathered} \mathrm{Now},\mathrm{we}\mathrm{have}: \\ \mathrm{Median}\mathrm{class}=11.5-17.5 \\ \mathrm{Upper}\mathrm{limit}=17.5 \end{gathered}$$