Question

Obtain the median for the following frequency distribution:

x :	1	2	3	4	5	6	7	8	9
f :	8	10	11	16	20	25	15	9	6

Answer 1

Calculation of Median

x	f	c.f.
1	8	8
2	10	18
3	11	29
4	16	45
5	20	65
6	25	90
7	15	105
8	9	114
9	6	120
		N = 120

Here, N = 120, so, `"N"/(2)` = 60.
The cumulative frequency just greater than `"N"/(2)` i.e., 60 is 65. The value of the variate corresponding to 65 is 5.
Hence, median = 5.