Exam 3: Numerical Descriptive Techniques

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

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Longevity and Salary A sample of eight observations of variables x (years of experience)and y (salary in $1,000s)is shown below: Longevity and Salary A sample of eight observations of variables x (years of experience)and y (salary in $1,000s)is shown below:   {Longevity and Salary Narrative}   a. Calculate and interpret the covariance between x and y .   b. Give a possible reason that the covariance is negative. {Longevity and Salary Narrative} a. Calculate and interpret the covariance between x and y . b. Give a possible reason that the covariance is negative.

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In a histogram, the proportion of the total area which must be to the right of the mean is:

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The length of the box in a box plot portrays the interquartile range.

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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. {Ages of Volunteers Narrative} Compute the coefficient of variation, and express the number in the appropriate unit.

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Test Scores Suppose that an analysis of a set of test scores reveals that: Q 1 = 45, Q 2 = 85, Q 3 = 105. {Test Scores Narrative} What do these statistics tell you about the shape of the distribution of test scores?

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