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Measures of dispersion, problem 1 Aa Aa The manager of a mens store observes the waist size (in inches) of trousers sold yesterday: 32, 32, 33, 40, 32, 48, 34, 33, 30, 28 Calculate the range, variance, and standard deviation of these data. Select the answers equal to or closest to your results. Range = 20 Variance33.07 Standard deviation 5.75 What percentage of the observations are within 1, 2 and 3 standard deviations of the mean? within ±1 standard deviation Within 2 standard deviations: Within 3 standard deviations: How does this compare with what the empirical rule predicts? This result agrees with what the empirical rule predicts, because

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Answer #1

For the standard normal distribution.

68% of data lies within 1 standard deviation.

95% of data lies within 2 standard deviation.

99.7% of data lies within 3 standard deviation.

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