Obtain an exclusive continuous frequency distribution from the followi

Obtain an exclusive continuous frequency distribution from the following data:

Answer»

Given data is ‘less than’ type cumulative frequency distribution.
Class length = Difference between two adjoining upper boundary points
= 35 – 30 = 5
Now, lower boundary point of a class = upper boundary point – class length
∴ for initial class, lower boundary point = 30 – 5 = 25 and we get initial class 25 – 30.

In this manner we will obtain class for each upper boundary point.
We find the frequency of a class as follows :
Frequency of a class = (‘less than ‘ cumulative frequency of a class) – (‘less than’ cumulative frequency of preceeding class)
Class frequency for upper boundary point 35 = 17 – 0 = 17
In this manner, we will obtain the class frequency for each upper boundary point.

For the given data exclusive continuous frequency distribution is obtained as follows:

Weight ‘less than’ in kg	‘Less than’ cumulative frequency cf	Weight(in kg)	Frequency f
30	0	25-30	= 0
35	17	30-35	17- 0 = 17
40	25	35-40	25 – 17 = 8
45	40	40-45	40 – 25 = 15
50	48	45-50	48 – 40 = 8
55	54	50-55	54 – 48 = 6
60	57	55-60	57 – 54 = 3
65	59	60-65	59 – 57 = 2
70	60	65-70	60 – 59 = 1
–	–	Total	n = 60

Obtain an exclusive continuous frequency distribution from the following data:

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