Exam 3: Numerical Descriptive Techniques

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

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Which measure of central location can be used for both interval and nominal variables?

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Compute the range and coefficient of variation.

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In a histogram, the proportion of the total area which must be to the left of the median is:

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

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The interquartile range is an interval of numbers starting at Q1 and ending at Q3.

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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. -Calculate the 3rd and 7th deciles of the data.

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The coefficient of variation is a measure of variability.

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Ages of Jockeys: The following data represent the ages in years of a sample of 25 jockeys from a local race track: 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. -A.Construct a box plot for the ages and identify any extreme values. B.What does the box plot tell you about the distribution of the data?

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Quartiles divide the observations in a data set into four parts with the same amount of data in each part.

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Any points that lie outside the whiskers on a box plot are called ____________________.

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Strip Mall Rent: Monthly rent data in dollars for a sample of 10 stores in a small town in South Dakota are as follows: 220, 216, 220, 205, 210, 240, 195, 235, 204, and 250. -Compute the sample median.

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The mean of a sample of 15 measurements is 35.6 feet. Suppose that the sample is enlarged to 16 measurements, by including one additional measurement having a value of 42 feet. Find the mean of the sample of the 16 measurements.

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The line drawn within the box of a box plot always represents the median.

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Hours of Playing Video Games: Suppose that the following data provide the hours of playing video games per week for a sample of 15 high school students in Roanoke, Virginia: 5, 11, 25, 19, 18, 20, 27, 13, 8, 10, 15, 19, 18, 9, and 12. -Determine the location and value of the third quartile.

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Lily has been keeping track of what she spends to eat out. The last week's expenditures for meals eaten out were $5.69, $5.95, $6.19, $10.91, $7.49, $14.53, and $7.66. The mean amount Lily spends on meals is $8.35.

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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. -Describe the shape of the distribution of weights based on the quartiles' values.

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Which of the following statements is true for the following observations: 9, 8, 7, 9, 6, 11, and 13?

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If the first and second quartiles are farther apart than the second and third quartiles, the shape of the histogram based on the quartiles is ____________________.

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Ages of Jockeys: The following data represent the ages in years of a sample of 25 jockeys from a local race track: 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. -A.Construct a relative frequency histogram for the data. B.What does the histogram tell you about the distribution of the data?

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