Question

Find the mode and the median of the following frequency distribution:

x	10	11	12	13	14	15
f	1	4	7	5	9	3

Answer 1

x	f	cf
10	1	1
11	4	5
12	7	12
13	5	17
14	9	26
15	3	29
	N = 29

Here `N = 29 => N/2 = 29/2 = 14.5`

We find that the cf just greater than `N/2 = 14.5` is 17 and the value of x corresponding to 17 is 13.

Therefore, Median = 13

To find mode: From the table, it is clear that the value 14 has maximum frequency 9.

Hence, the mode of the data is 14.