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Twenty-five residents of a community for senior citizens were asked to keep track of the number of hours they watched TV during the past week. 20 2 12 7 32 7 10 7 13 17 14 15 15 9 27 5 21 4 7 6 2 18 10 5 11 a. Construct a frequency distribution to display these data. b. What are the midpoints of the class intervals? c. Add columns to the table to display the percentage distribution, cumulative frequencies, and cumulative percentages. d. Write a paragraph summarizing this distribution of scores.

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Essentials Of Statistics

4th Edition
HEALEY + 1 other
Publisher: Cengage Learning,
ISBN: 9781305093836
BuyFind

Essentials Of Statistics

4th Edition
HEALEY + 1 other
Publisher: Cengage Learning,
ISBN: 9781305093836

Solutions

Chapter
Section
Chapter 2, Problem 2.7P
Textbook Problem
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Twenty-five residents of a community for senior citizens were asked to keep track of the number of hours they watched TV during the past week.

20 2 12 7 32
7 10 7 13 17
14 15 15 9 27
5 21 4 7 6
2 18 10 5 11

a. Construct a frequency distribution to display these data.

b. What are the midpoints of the class intervals?

c. Add columns to the table to display the percentage distribution, cumulative frequencies, and cumulative percentages.

d. Write a paragraph summarizing this distribution of scores.

Expert Solution
To determine

To Display:

The frequency distribution with columns for percentages and cumulative percentages.

Explanation of Solution

The frequency distribution reports the number of cases in each category, for all kinds of variables.

The formula percentage is:

Percentage: % = (fN)*100

Where,

f = frequency, or the number of cases in a specific category.

N = the number of cases in all categories.

Steps to find the cumulative percentage is:

1. Compute the percentage of cases in each category and then follow the pattern for the cumulative frequencies. The entry for the lowest class interval will be the same as the percentage of the cases in the interval.

2. For the next higher interval, the cumulative percentage is the percentage of cases in the interval plus the percentage of cases in the lower interval.

3. Continue adding (or accumulating) percentages from interval to interval until you reach the interval with the highest scores which will have a cumulative percentage of 100%.

For Math test:

Set k = 10, R = 99-45 = 54, so we can round of the interval size to i = 5. The first interval will be 45-49, to include the low score of 45, and the highest interval will be 95-99

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