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Problem Set #3

# Problem Set #3 - 1 Measures of dispersion tell us about the...

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1) Measures of dispersion tell us about the size and spread of a data set whereas skewness tells us about the shape of a distribution of data. 2) a. Book Value Earnings population mean= 20.15143 2.838571 population standard deviation= 5.915267 0.447929 coefficient of variance= 0.293541 0.157801 Because the coefficient of variance of the book value is greater than that of the earnings, the book value is more variable. b. Book Value Earnings z-score 0.851791 0.650613 Because the z-score of the book value is higher than that of the earnings, the book value of Con Ed is relatively further from the mean than the earnings. 3) a. Bat dog: -0.92582 No Country for Old Statisticians: 1.38873 Indiana Smith Meets Godzilla: -0.46291 b. as with all sets of z-scores, the mean is 0 and standard deviation is 1 4) a. 16% b. 2.5% c. 34% d. 81.5% 5) a. 2 standard deviations: 75% 3.5 standard deviations: 91.84% b. 2 standard deviations: 95% 3 standard deviations: 99% 6) a. This distribution is negatively skewed because the median and mode are less than the mean.

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Problem Set #3 - 1 Measures of dispersion tell us about the...

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