Exam 3: Numerical Descriptive Techniques

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If the standard deviation of x is 18, the covariance of x and y is 120, the coefficient r = 0.90, then the standard deviation of y is 54.87.

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The coefficient of variation allows us to compare two sets of data based on different measurement units.

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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. -Compute the interquartile range of the data, and interpret its meaning.

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The ____________________ measures the spread between the middle 50% of the observations.

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____________________ are extremely large or extremely small observations.

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In a negatively skewed distribution, the mean is smaller than the median and the median is smaller than the mode.

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Hours Worked per Week: The following data represent the hours worked per week of a sample of 25 employees from a government department: 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. -Find the median hours.

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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. -Calculate the first quartile of the ages of the uninsured retirees.

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

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In a histogram, the proportion of the total area which must be to the right of the mean is exactly 0.50 if the distribution is symmetric and unimodal.

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Which of the following is a property of r, the coefficient of correlation?

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In a positively skewed distribution, which of the following is the correct statement?

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Which of the following summary measures is sensitive to extreme values?

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Which measures of central location and variability are considered to be resistant to extreme values?

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