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1.3 Frequency, Frequency Tables, and Levels of Measurement

Counts turned into relative and cumulative relative frequencies, rounding rules for those proportions, and the four measurement scales that limit valid arithmetic.

Introductory Statistics 2e, 1.3 Frequency, Frequency Tables, and Levels of Measurement

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9 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 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 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 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 11

What type of measure scale is being used? Nominal, ordinal, interval or ratio.

  1. High school soccer players classified by their athletic ability: Superior, Average, Above average
  2. Baking temperatures for various main dishes: 350, 400, 325, 250, 300
  3. The colors of crayons in a 24-crayon box
  4. Social security numbers
  5. Incomes measured in dollars
  6. A satisfaction survey of a social website by number: 1 = ver…
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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 15

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 17

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