Question

what is a frequency distribution of qualitative data and why is it useful? choose the correct answer below. a. it is a chart that displays the distinct values of the qualitative data on a horizontal axis and the frequencies of those values on a vertical axis. it is useful because it shows the values of the observations and how often they occur graphically. b. it is a disk divided into wedge - shaped pieces proportional to the relative frequencies of the qualitative data. it is useful because it shows the values of the observations and how often they occur graphically. c. it is a listing of the distinct values and their frequencies. it is useful because it provides a table of the values of the observations and how often they occur. d. it is a listing of the distinct values and their relative frequencies. it is useful because it provides a table of the values of the observations and (relatively) how often they occur. it is also useful for comparing two data sets.

Explanation:

• Option A describes a bar graph (for qualitative data), not a frequency distribution (which is a table - like listing).
• Option B describes a pie chart, not a frequency distribution.
• Option C: A frequency distribution of qualitative data is a listing (usually in a table) of the distinct qualitative values and how many times (frequency) each occurs. This matches the definition and the explanation of its usefulness (providing a table of values and their frequencies).
• Option D describes a relative frequency distribution (which includes relative frequencies, not just frequencies) and mentions comparing two data sets, which is not the primary use of a basic frequency distribution of qualitative data.

Answer:

C. It is a listing of the distinct values and their frequencies. It is useful because it provides a table of the values of the observations and how often they occur.