Back to 2.3 Measures of the Location of the Data

2.3 Exercise 37

Avg difficulty 2.5

Six hundred adult Americans were asked by telephone poll, "What do you think constitutes a middle-class income?" The results are in the table. 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
  1. What percentage of the survey answered "not sure"?
  2. What percentage think that middle-class is from $25,000 to $50,000?
  3. Construct a histogram of the data.
    1. Should all bars have the same width, based on the data? Why or why not?
    2. How should the <20,000 and the 100,000+ intervals be handled? Why?
  4. Find the 40th and 80th percentiles
  5. Construct a bar graph of the data

OpenStax Introductory Statistics 2e, 2.3 Measures of the Location of the Data, exercise 37

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Adapted from Introductory Statistics 2e © 2023 Rice University. Licensed under CC BY 4.0. Source: Introductory Statistics 2e. Imported at revision 50ec917.