Question

What is the relationship between a frequency or relativefrequency distribution of a quantitative data set and that of a qualitative data set?

Describing quantitative data
ANSWERED
asked 2021-03-06
What is the relationship between a frequency or relativefrequency distribution of a quantitative data set and that of a qualitative data set?

Expert Answers (1)

2021-03-07
Step 1
Qualitative and quantitative data:
Qualitative data are non-numerical measures such as characteristics, attributes, or labels, whereas quantitative data are numerical measures on which arithmetic operations are possible.
Step 2
From the definitions of frequency distribution and qualitative data, it is easy to infer the meaning of the frequency distribution of qualitative data. This is the list of the number of occurrences of the qualitative data, that is, the frequencies of all different values that are represented in the data.
Frequency distribution: The number of occurrences is known as frequency and if the frequency to all events in data is listed, then it is known as frequency distribution.
Relative frequency distribution: Relative frequency distribution is also a frequency distribution, which is defined as the ratio of possible number of frequencies to the possible total number of frequencies.
Step 3
Grouping of quantitative variable:
In order to organize the quantitative data, grouping is essential to reduce the difficulties of large sets of data values. Thus, three methods (single, limit, and cut point) are formed on the basis of grouping data.
Relationship between quantitative and qualitative data, in terms of grouping:
For distinct values of single quantities, grouping in quantitative data similarly resembles the classes in a qualitative data set. For distinct values of cut point and limit value, grouping in quantitative data resembles the classes in a qualitative data set.
Thus, both qualitative and quantitative data sets represent the same results in terms of frequency or relative frequency distributions.
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