Question 1

Ages of Workers: The ages (in years) of three groups of workers are shown below:
 
-Compute and compare the ranges for the three groups.

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Question 2

Suppose your data set contains ages (in years) and you calculate the range, variance, standard deviation, and coefficient of variation for the data. Explain what units each of these measures is in.

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Question 3

Compute the coefficient of variation, and express the number in the appropriate unit.

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Question 4

Weights of Police Officers: The following data represent the weights in pounds of a sample of 25 police officers: 164, 148, 137, 157, 173, 156, 177, 172, 169, 165, 145, 168, 163, 162, 174, 152, 156, 168, 154, 151, 174, 146, 134, 140, and 171.
-Determine the location and value of the lower quartile of the weights.

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Question 5

The number of hours a college student spent studying during the final exam week was recorded as follows: 7, 6, 4, 9, 8, 5, and 10. Compute s² and s for the data and express the numbers in the appropriate unit.

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Question 6

A sample of 13 college professors has a mean age of 30 years and a standard deviation of 5 years. Suppose that the sample is enlarged to 15 college professors, by including two additional professors that are each 30 years old. Will the standard deviation increase, decrease, or stay the same, and why?

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Question 7

How often can we expect between 49 and 61 containers to be sold in a day? (Give a percentage.)

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Question 8

Is it possible for the standard deviation of a data set to be larger than its variance? Explain.

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Question 9

If the supermarket begins each morning with a supply of 67 containers of milk, how often will demand exceed the supply? (Give a percentage.)

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Question 10

Ages of Workers: The ages (in years) of three groups of workers are shown below:
 
-Compute and compare the coefficient of variation for the three samples.

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Question 11

Compute the variance, and standard deviation of the salaries, and express the numbers in the appropriate units.

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Question 12

Weights of Police Officers: The following data represent the weights in pounds of a sample of 25 police officers: 164, 148, 137, 157, 173, 156, 177, 172, 169, 165, 145, 168, 163, 162, 174, 152, 156, 168, 154, 151, 174, 146, 134, 140, and 171.
-Determine the location and value of the second quartile of the weights.

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Question 13

Consider the following population of measurements: 162, 152, 177, 157, 184, 176, 165, 181, 170, and 163. Label and compute the variance and standard deviation.

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Question 14

Ages of Workers: The ages (in years) of three groups of workers are shown below:
 
-Calculate and compare the standard deviations for the three samples.

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Question 15

Ages of Volunteers: The following data represent the ages in years of a sample of 25 volunteers from a charitable organization: 31, 43, 56, 23, 49, 42, 33, 61, 44, 28, 48, 38, 44, 35, 40, 64, 52, 42, 47, 39, 53, 27, 36, 35, and 20.
-Compute the coefficient of variation, and express the number in the appropriate unit.

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Question 16

What percentage of the time will the number of containers of milk sold be more than 2 standard deviations from the mean?

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Question 17

The number of hours a college student spent studying during the final exam week was recorded as follows: 6, 5, 2, 8, 7, 4, and 9. Compute the range for the data, express the number in the appropriate unit.

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Question 18

The following data represent the salaries (in thousands of dollars) of a sample of 13 office workers of a firm: 26.5, 23.5, 29.7, 24.8, 21.1, 24.3, 20.4, 22.7, 27.2, 23.7, 24.1, 24.8, and 28.2.
-Compute the range.

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Question 19

Ages of Volunteers: The following data represent the ages in years of a sample of 25 volunteers from a charitable organization: 31, 43, 56, 23, 49, 42, 33, 61, 44, 28, 48, 38, 44, 35, 40, 64, 52, 42, 47, 39, 53, 27, 36, 35, and 20.
-Compute the range of the data, and express the number in the appropriate unit.

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Question 20

Ages of Volunteers: The following data represent the ages in years of a sample of 25 volunteers from a charitable organization: 31, 43, 56, 23, 49, 42, 33, 61, 44, 28, 48, 38, 44, 35, 40, 64, 52, 42, 47, 39, 53, 27, 36, 35, and 20.
-Compute the sample variance, and sample standard deviation, and express the numbers in the appropriate units.

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Quiz 3: Numerical Descriptive Techniques

Ages of Workers: The ages (in years) of three groups of workers are shown below: -Compute and compare the ranges for the three groups.

Suppose your data set contains ages (in years) and you calculate the range, variance, standard deviation, and coefficient of variation for the data. Explain what units each of these measures is in.

Compute the coefficient of variation, and express the number in the appropriate unit.

The number of hours a college student spent studying during the final exam week was recorded as follows: 7, 6, 4, 9, 8, 5, and 10. Compute s2 and s for the data and express the numbers in the appropriate unit.

How often can we expect between 49 and 61 containers to be sold in a day? (Give a percentage.)

Is it possible for the standard deviation of a data set to be larger than its variance? Explain.

If the supermarket begins each morning with a supply of 67 containers of milk, how often will demand exceed the supply? (Give a percentage.)

Ages of Workers: The ages (in years) of three groups of workers are shown below: -Compute and compare the coefficient of variation for the three samples.

Compute the variance, and standard deviation of the salaries, and express the numbers in the appropriate units.

Consider the following population of measurements: 162, 152, 177, 157, 184, 176, 165, 181, 170, and 163. Label and compute the variance and standard deviation.

Ages of Workers: The ages (in years) of three groups of workers are shown below: -Calculate and compare the standard deviations for the three samples.

What percentage of the time will the number of containers of milk sold be more than 2 standard deviations from the mean?

The number of hours a college student spent studying during the final exam week was recorded as follows: 6, 5, 2, 8, 7, 4, and 9. Compute the range for the data, express the number in the appropriate unit.

The following data represent the salaries (in thousands of dollars) of a sample of 13 office workers of a firm: 26.5, 23.5, 29.7, 24.8, 21.1, 24.3, 20.4, 22.7, 27.2, 23.7, 24.1, 24.8, and 28.2. -Compute the range.

The number of hours a college student spent studying during the final exam week was recorded as follows: 7, 6, 4, 9, 8, 5, and 10. Compute s² and s for the data and express the numbers in the appropriate unit.