Question

Find median

Class interval 0-2. 2-4 4-6 6-8 8-10 10-12 12-14

Plants. 1. 2. 1. 5. 6. 2. 3

Answer 1

Solution:

Class Interval	Class interval frequency	Cumilative frequency
0-2	1	1
2-4	2	3
4-6	1	4
6-8	5	9 (F)
8-10	6(f)	15
10-12	2	17
12-14	3	20
		N=20

We have

N = 20

N/2 = 20/ 2 = 10

The cumulative frequency just greater than N/2 is 10 then 8 – 10 is the median class such, that

L = 8, f = 6, F =9 and h = 10 – 8 = 2

Median = L+((N/2−F)/f)*h(This formula you should know)
=8+(10-9)/6)*h
=8+2/6
=8.33