Deciles
Deciles are those values of the variable that divide the total frequency into 10 equal parts.
The k-th decile denoted by D
k is computed as follows:
where:
- L is the lower limit of the class containing Dk
- f is the frequency of the class containing Dk
- h is the width of the class containing Dk
- C is the cumulative frequency of the class preceding the class containing Dk
Here the cumulative frequency just greater than
is the class containing Dk (K=1,2,...,9)
Determine D5 from the following distribution
Class |
Frequency |
Cumulative frequency |
0-5 |
20 |
20 |
5-10 |
15 |
35 |
10-15 |
31 |
66 |
15-20 |
22 |
88 |
20-25 |
10 |
98 |
25-30 |
2 |
100 |
Here
. The cumulative frequency just greater than 50 is 66, so the class 10-15 contains D5
L=10, f=31, h=5, C=35, Therefore 