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1.3 Frequency, Frequency Tables, and Levels of Measurement

Last updated 8 months ago
21 questions
Levels of Measurement

Answers and Rounding Off

Do not round until your final answer. If there is a need to round in middle steps, use twice as many decimal points as your final answer will be. Your final answer should be rounded (not always) to one more decimal point that was present unless stated other wise

Levels of Measurement

  • Nominal scale level- Is qualitative (categorical). This would be categories, names, labels and favorite foods. There is no order and makes no sense to put
  • Ordinal scale level- Is similar to nominal scale, but can be ordered based on a scale. Question like "excellent, good, satisfactory, and unsatisfactory", top 5 parks, or rankings in a race would be an Ordinal scale.
  • Interval scale level- Interval Scale is order matters and there is a difference between the data. Temperature is the most common example. The difference between weather means something, but 0 is not the absolute lowest it can be.
  • Ratio scale level- Ratio is like interval where 0 is the lowest point available. In this case the difference matters and so does multiplying. Test scores would be and example of this
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Instructions: Match each Scenario (A–H) to the correct Level of Measurement (1–4). Some levels may be used more than once.

A. Types of coffee: espresso, latte, cappuccino, macchiato __________ B. Rankings in a dance competition: 1st, 2nd, 3rd __________ C. Dates on a calendar (e.g., April 10, June 5, December 25) __________ D. Number of hours studied for an exam __________ E. Eye colors: blue, brown, green __________ F. Customer satisfaction ratings: very unsatisfied, unsatisfied, neutral, satisfied, very satisfied __________ G. Distance run (in miles) during a workout __________ H. Years in which Olympic Games were held (e.g., 2000, 2004, 2008) __________
Creating a Frequency Tables
Twenty students were asked how many hours they worked per day. Their responses, in hours, are as follows: 5; 6; 3; 3; 2; 4; 7; 5; 2; 3; 5; 6; 5; 4; 4; 3; 5; 2; 5; 3.













Rounding may cause the final result not to equal to 1, but they should still be close to 1
Interpreting a Frequency Table

Table 1.13 represents the heights, in inches, of a sample of 100 semiprofessional soccer players.

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What percentage of heights are less than 65.95 inches?

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What percentage of heights fall between 61.95 and 65.95?

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  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 inches tall is:_______
  5. What kind of data are the heights? _______
  6. Describe how you could gather this data (the heights) so that the data are characteristic of all semiprofessional soccer players. _______
The table shows the amount, in inches, of annual rainfall in a sample of towns.
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What percentage of rainfall is less than 9.01 inches

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Find the percentage of rainfall that falls between 6.99 and 13.05 inches

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Find the percentage of rainfall that falls between 2.95 and 9.01 inches

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What fraction of the towns surveyed get between 11.03 and 13.05

Nineteen people were asked how many miles, to the nearest mile, they commute to work each day. The data are as follows: 2; 5; 7; 3; 2; 10; 18; 15; 20; 7; 10; 18; 5; 12; 13; 12; 4; 5; 10
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Is the table correct? If it is not correct, what is wrong?

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Three percent of the people surveyed commute three miles or less.

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What fraction of the people surveyed commute five or seven miles?

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What fraction of the people surveyed commute 12 miles or more? _______

Less than 12 miles? _______

Between five and 13 miles? _______
The table to the left contains data for the number of years of service for 70 federal employees.
1

What is the cumulative frequency for years of service between 30 and 35 (inclusive)?

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What is the relative frequency for 30 years of service?

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What is the relative frequency for 30 years of service or less?

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The table to the left contains the total number of fatal motor vehicle traffic crashes in the United States for a period of 18 years.
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What is the frequency of deaths measured from Year 7 through Year 11?

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What percentage of deaths occurred after Year 13?

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What is the relative frequency of deaths that occurred in Year 7 or before?

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What is the percentage of deaths that occurred in Year 18?

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What is the cumulative relative frequency for Year 13?