STT HW1 - Harley Kelly Statistics 215 Homework 1 Given the...

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Harley Kelly Statistics 215 Homework 1 9/26/11 Given the data on monthly returns from 1988 through 2007 for the Russell 2000 Growth and Value indices, do the following: a. Find the mean, standard deviation and five number summaries for each data set. Russell 2000 Growth : Mean – 0.0090757 Standard Deviation – 0.063233 Minimum – - 0.2308 Q1 – - 0.0349 Median – 0.0151 Q3 – 0.0482 Maximum – 0.2327 Russell 2000 Value : Mean – 0.0113056 Standard Deviation – 0.0419402 Minimum – - 0.1566 Q1 – - 0.0137 Median – 0.0152 Q3 – 0.0369 Maximum – 0.1092
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b. Produce a boxplot and histogram for each using the same scale for all figures. Compare the two distributions—compare the measures of center and variability, compare skewness if any is present. Measures of Center : R. Growth’s median is greater than its mean, while the R. Value’s median is, too, greater, to a lesser extent, than the mean. Variability : Clearly, the Russell 2000 Growth has a greater variability, as shown by the dispersion of the data in both the boxplot and histogram, and the greater standard deviation. Skewness : The Russell 2000 Growth data is slightly skewed left, and the same can be said of the
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