Question

Consider the following frequency distribution:

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

The upper limit of the median class is
(a) 16.5
(b) 18.5
(c) 18
(d) 17.5

Answer 1

(d) 17.5
Converting the given series into continuous series, we get:

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

Now, 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.
∴ The median class is 11.5-17.5 and the corresponding upper limit is 17.5.