Question

In: Statistics and Probability

In what ways do frequency distributions for qualitative data differ from those for quantitative data?

In what ways do frequency distributions for qualitative data differ from those for quantitative data?

Solutions

Expert Solution

By Quantitative Statistical data we mean a sequence or a set of numerical measurements made on some of the objects in a specified population. Therefore we may say that these types of data arise if we are observing, for each individual of a group, a character which can be measured in numbers. Such a character will be referred to as a quantitative character or a variable.
For example, the heights of 10 students of a college constitute quantitative data and the quantitative data are: 5’6”, 5’5”, 5’4”, 5’8”, 5’6”, 5’7”, 5’4”, 5’5”, 5’9” and 5’7”. The character “Height of students” is a quantitative character or variable.


By Qualitative Statistical data we mean a set of observations in which each observation in the sample or population belongs to one of several mutually exclusive classes which are likely to be non−numerical. For this type of data, the character observed is not measurable in numerical terms. Such a character is called a qualitative character or an attribute.
The “color of a flower” can be classified as red, blue, white and others. The colors of ten flowers in a garden are recorded as: R, W, O, B, R, W, W, R, O and R. The data is qualitative data and the character “color of flower’ is a qualitative character or an attribute.

when we tabulate the value in a table that becomes an frequency table by using the above information for quantitative vs qualitative data.


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