Six hundred adult Americans were asked by telephone poll, "What do you think constitutes a middle-class income?" The results are in the table below. Also, include left endpoint, but not the right endpoint. Salary ($) Relative Frequency <20,000 0.02 20,000–25,000 0.09 25,000–30,000 0.19 30,000–40,000 0.26 40,000–50,000 0.18 50,000–75,000 0.17 75,000–99,999 0.02 100,000+ 0.01 Part (a) What proportion of the survey answered "not sure"? (Enter your answer to two decimal places.) Part (b) What proportion think that middle-class is from $20,000 to $40,000? (Enter your answer to two decimal places.) Part (c) Construct a histogram of the data. (i) Should all bars have the same width, based on the data? Why or why not? 1. Yes, because the bars of histograms should always have the same width. 2.No, because the data is organized into categories with different widths. (ii) How should the <20,000 and the 100,000+ intervals be handled? Why? 1.They should be excluded because they introduce too much skew. 2.The <20,000 interval will be part of an interval starting at $0, since salaries can't go below $0. The 100,000+ interval will not be changed. Part (d) In what interval will the 40th percentile fall? < $20,000$20,000 - $25,000 $25,000 - $30,000$30,000 - $40,000$40,000 - $50,000$50,000 - $75,000$75,000 - $99,999$100,000+ In what interval will the 80th percentile fall? < $20,000$20,000 - $25,000 $25,000 - $30,000$30,000 - $40,000$40,000 - $50,000$50,000 - $75,000$75,000 - $99,999$100,000+ Part (e) Construct a bar graph of the data.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

Six hundred adult Americans were asked by telephone poll, "What do you think constitutes a middle-class income?" The results are in the table below. Also, include left endpoint, but not the right endpoint.

Salary ($)	Relative Frequency
<20,000	0.02
20,000–25,000	0.09
25,000–30,000	0.19
30,000–40,000	0.26
40,000–50,000	0.18
50,000–75,000	0.17
75,000–99,999	0.02
100,000+	0.01

Part (a)

What proportion of the survey answered "not sure"? (Enter your answer to two decimal places.)
Part (b)

What proportion think that middle-class is from $20,000 to $40,000? (Enter your answer to two decimal places.)
Part (c)

Construct a histogram of the data.
(i) Should all bars have the same width, based on the data? Why or why not?

1. Yes, because the bars of histograms should always have the same width.

2.No, because the data is organized into categories with different widths.

(ii) How should the <20,000 and the 100,000+ intervals be handled? Why?

1.They should be excluded because they introduce too much skew.

2.The <20,000 interval will be part of an interval starting at $0, since salaries can't go below $0. The 100,000+ interval will not be changed.
Part (d)

In what interval will the 40^th percentile fall?

< $20,000$20,000 - $25,000 $25,000 - $30,000$30,000 - $40,000$40,000 - $50,000$50,000 - $75,000$75,000 - $99,999$100,000+

In what interval will the 80^th percentile fall?

< $20,000$20,000 - $25,000 $25,000 - $30,000$30,000 - $40,000$40,000 - $50,000$50,000 - $75,000$75,000 - $99,999$100,000+
Part (e)

Construct a bar graph of the data.

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