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Calculating and Interpreting Cumulative Frequencies and Cumulative Percentages.

ID: 2926633 • Letter: C

Question

Calculating and Interpreting Cumulative Frequencies and Cumulative Percentages.

The following hypothetical data represent the number of housing inspections made to each of 30 public housing complexes in Montgomery County. With this data, construct an ungrouped frequency distribution. Calculate the frequency, percentage, cumulative frequency, and cumulative percent. Report your table and then use it to answer the following questions:

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Please note: Answers should be in the form of (complete) sentences.

           a. What percentage had less than 3 visits?

            b. What percentage had exactly 3 visits?

           c. What percentage had more than 3 visits?

d.   How many complexes had no inspections?

E.How many complexes had less than five inspections?

F.How many complexes had at least two investigations?

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Explanation / Answer

(a)

Less than 3 visits = 73.33%

(b)

Exactly 3 visits = 16.67%

(c)

More than 3 visits = 10%

(d)

10 complexes had no inspection

(e)

28 complexes had less than 5 inspections

(f)

13 complexes had at least two investigations

Number of visits Frequency percentage Cumulative Frequency Cumulative Percentage 0 10 33.33% 10 33.33% 1 7 23.33% 17 56.67% 2 5 16.67% 22 73.33% 3 5 16.67% 27 90.00% 4 1 3.33% 28 93.33% 6 1 3.33% 29 96.67% 7 1 3.33% 30 100.00%
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