Exam 4: Numerical Descriptive Techniques

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Which of the following types of data has no measure of variability?

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We can frequently make several inferences about the nature of the data from the ____________________ of its histogram.

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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. -{Weights of Police Officers Narrative} Describe the shape of the distribution of weights based on the quartiles' values.

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Generally speaking, if two variables are unrelated, the covariance will be a number close to zero.

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Ages of Retirees A sociologist recently conducted a survey of retirees over 65 years of age whose net worth is too high to qualify for Medicaid and who have no private health insurance.The ages of 20 uninsured retirees were as follows: 65, 66, 67, 68, 69, 70, 71, 73, 74, 75, 78, 79, 80, 81, 86, 87, 91, 92, 94, and 97. -{Ages of Retirees Narrative} Calculate the first quartile of the ages of the uninsured retirees.

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σ\sigma is a population parameter and s is a sample statistic.

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The ____________________ mean of n returns (or growth rates) is the appropriate mean to calculate if you wish to estimate the mean rate of return (or growth rate) for any single period in the future.

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The length of the box in the box plot portrays the:

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A data sample has a mean of 107, a median of 122, and a mode of 134.The distribution of the data is positively skewed.

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When two variables x and y are linearly related, it does not necessarily mean that x ____________________ y.

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A basketball player has the following points for seven games: 20, 25, 32, 18, 19, 22, and 30.Compute the following measures of variability. a. Standard deviation b. Coefficient of variation c. Compare the standard deviation and coefficient of variation and use them to discuss the variability in the data.

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In a positively skewed distribution:

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If the mean, median, and mode are all equal, the histogram must be symmetric and bell shaped.

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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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Q2 is another name for the ____________________.

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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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The median of an ordered data set with 30 items would be the average of the 15th and the 16th observations.

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Ages of Retirees A sociologist recently conducted a survey of retirees over 65 years of age whose net worth is too high to qualify for Medicaid and who have no private health insurance.The ages of 20 uninsured retirees were as follows: 65, 66, 67, 68, 69, 70, 71, 73, 74, 75, 78, 79, 80, 81, 86, 87, 91, 92, 94, and 97. -{Ages of Retirees Narrative} Identify the interquartile range of the ages of the uninsured retirees.What does this value tell you about the data?

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Consider the following data: Consider the following data:     a. Calculate the covariance and the coefficient of correlation for the sample. b. What do these statistics tell you about the relationship between x and y? a. Calculate the covariance and the coefficient of correlation for the sample. b. What do these statistics tell you about the relationship between x and y?

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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. -{Ages of Jockeys Narrative} 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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