The following is a simple frequency distribution table.Suppose we convert this table to a cumulative frequency distribution.The frequencies in each interval of the cumulative frequency distribution would be

A) 5, 8, 10, 14, and 20 (top down summary).
B) 6, 10, 12, 15, and 20 (bottom up summary).
C) both 5, 8, 10, 14, and 20 (top down summary) and 6, 10, 12, 15, and 20 (bottom up summary), depending on how the data were summarized.
D) it is not possible to summarize the data using a cumulative frequency distribution.

Question

The following is a simple frequency distribution table.Suppose we convert this table to a cumulative frequency distribution.The frequencies in each interval of the cumulative frequency distribution would be

A) 5, 8, 10, 14, and 20 (top down summary). 
B) 6, 10, 12, 15, and 20 (bottom up summary). 
C) both 5, 8, 10, 14, and 20 (top down summary) and 6, 10, 12, 15, and 20 (bottom up summary), depending on how the data were summarized. 
D) it is not possible to summarize the data using a cumulative frequency distribution.

Quizplus · Accepted Answer

We can summarize the data in both top-down and bottom-up approaches. When we summarize the data from the lowest interval upward, we get the frequencies 6, 10, 12, 15, and 20. When we summarize the data from the highest interval downward, we get the frequencies 5, 8, 10, 14, and 20. Therefore, both options (C) are possible.

The Following Is a Simple Frequency Distribution Table