Question

The following frequency distribution is known as:

Classes	Frequency
0 - 10	3
0 - 20	8
0 - 30	14
0 - 40	20
0 - 50	25

• A. Continuous frequency distribution
• B. Discrete frequency distribution
• C. Cumulative distribution in more than type
• D. Cumulative distribution in less than type

Hint:

All classes start from 0 with increasing upper limits and non-decreasing frequencies, this is the signature of a less than type cumulative frequency distribution.

Answer 1

The Correct Option is D

Step 1: In this table every class starts at 0 and the upper limit increases (0-10, 0-20, 0-30, 0-40, 0-50), with the frequency shown against each class being the total number of observations up to that upper limit.
Step 2: This is exactly the definition of a cumulative frequency distribution of the less than type, where the cumulative frequency of a class gives the number of observations less than (or up to) its upper boundary.
Step 3: The frequencies are non-decreasing (3, 8, 14, 20, 25) as the upper limit rises, which matches a less than type table. A more than type table would instead show classes with a fixed lower limit and decreasing cumulative frequencies as the lower limit increases.
So the distribution is a cumulative distribution in less than type.