Below are the three types of frequency distributions and their applications:
- Grouped frequency distribution: This frequency distribution can be used when the size of data set is very large. We need to create non overlapping classes to create frequency distribution. For example if we need to create the frequency distribution for weight of students in a class then we can use 40 - 50 kg, 50 - 60 kg , ---- as classes.
- Categorical frequency distribution: When we have a data set with nominal or ordinal level of measurement then we can use categorical frequency distribution. For example, if we need to create the frequency distribution according to marital status of data then we can use, single, married, separated, divorced etc as categories to create frequency distribution.
- Cumulative frequency distribution: It is a type of frequency distribution in which we add all the frequencies occurred up to the particular class. It is very useful if we need to answer questions like number of students with IQ below 70 or below 120 and so on. In this case we can add all class frequencies up to IQ 120 to get number of data below 120.
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