Question

Find the Median of the following distribution:

x	3	5	10	12	8	15
f	2	4	6	10	8	7

Answer 1

Arranging the terms in ascending order and preparing the cumulative frequency table:

x	f	c.f.
3	2	2
5	4	6
8	8	14
10	6	20
12	10	30
15	7	37

Here, n = 37 which is odd.
So Median = `(("n" + 1)/2)^"th" "term"`

= `((37 + 1)/2)^"th" "term"`

= `(38/2)^"th"`
= 19^th term
Hence, Median is the value of the 9^th term = 10.