Calculation of median in discrete series :
Determination of median in discrete series.
1. Cumulative frequencies are determined as the first step.
2. Now, the median’s serial number is found using the following formula : M = Value of \([\frac{N+1} {2}]\) th item Where N = Σf
Example: Find out the median value of the following discrete series.
Item-Value |
2 |
4 |
6 |
8 |
10 |
12 |
14 |
Frequency |
5 |
7 |
12 |
18 |
11 |
6 |
4 |
Solution:
Item-Value |
Frequency |
Cumulative Frequency |
2 |
5 |
5 |
4 |
7 |
12 |
6 |
12 |
24 |
8 |
18 |
42 |
10 |
11 |
53 |
12 |
6 |
59 |
14 |
4 |
63 |
M = Value of \([\frac{N+1}{2}]\) th item
= Value of \([\frac{63+1}{2}]\) th item = value of 32th item
Item 32th is included in the cumulative frequency 42. The value under cumulative frequency 42 is 8.
Hence, Median = 8