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1.3 Levels of Measurement

Nominal, ordinal, interval and ratio scales, the arithmetic each one permits, and building frequency and relative-frequency tables from raw counts.

Introductory Business Statistics 2e, 1.3 Levels of Measurement

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12 exercises

1.3 Exercise 1

From the table, find the percentage of heights that are less than 65.95 inches.

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1.3 Exercise 2

the table shows the amount, in inches, of annual rainfall in a sample of towns.

From the table, find the percentage of rainfall that is less than 9.01 inches.

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1.3 Exercise 3

From the table, find the percentage of heights that fall between 61.95 and 65.95 inches.

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1.3 Exercise 4

From the table, find the percentage of rainfall that is between 6.99 and 13.05 inches.

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1.3 Exercise 5

Use the heights of the 100 semiprofessional soccer players in the table. Fill in the blanks and check your answers.

  1. The percentage of heights that are from 67.95 to 71.95 inches is: ____.
  2. The percentage of heights that are from 67.95 to 73.95 inches is: ____.
  3. The percentage of heights that are more than 65.95 inches is: ____.
  4. The number of players in the sample who are between 61.95 and 71.95 in…
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1.3 Exercise 7

  1. Is the table correct? If it is not correct, what is wrong?
  2. True or False: Three percent of the people surveyed commute three miles or less. If the statement is not correct, what should it be? If the table is incorrect, make the corrections.
  3. What fraction of the people surveyed commute five or seven miles?
  4. What fraction of the people surveyed commute 12 miles or more? Less than 12 miles? Between f…
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1.3 Exercise 8

the table represents the amount, in inches, of annual rainfall in a sample of towns. What fraction of towns surveyed get between 11.03 and 13.05 inches of rainfall each year?

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1.3 Exercise 9

Answer the following questions.

  1. What is the cumulative frequency for years of service between 30 and 35 (inclusive)?
  2. What is the relative frequency for 30 years of service?
  3. What is the relative frequency for 30 years of service or less?
  4. What is the relative frequency for 25 years of service or more?
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1.3 Exercise 10

the table contains the total number of fatal motor vehicle traffic crashes in the United States for a period of 18 years.

Answer the following questions.

  1. What is the frequency of deaths measured from Year 7 through Year 11?
  2. What percentage of deaths occurred after Year 13?
  3. What is the relative frequency of deaths that occurred in Year 7 or before?
  4. What is the percentage of deaths that occurred i…
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Flossing Frequency for Adults with Gum Disease

Sixty adults with gum disease were asked the number of times per week they used to floss before their diagnosis. The (incomplete) results are shown in the table.

  1. Fill in the blanks in the table.
  2. What percent of adults flossed six times per week?
  3. What percent flossed at most three times per week?
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1.3 Exercise 14

How much time does it take to travel to work? the table shows the mean commute time by state for workers at least 16 years old who are not working at home. Find the mean travel time, and round off the answer properly.

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1.3 Exercise 16

What is the relative frequency of direct hits that were category 4 hurricanes?

  1. 0.0768
  2. 0.0659
  3. 0.2601
  4. Not enough information to calculate
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Adapted from Introductory Business Statistics 2e © 2023 Rice University. Licensed under CC BY 4.0. Source: Introductory Business Statistics 2e. Imported at revision 50ec917.