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Anthropology: Skull dimensions Stat 101: Extra Credit #7[2] DUE: _____ Name: _________________________ Print this page out AFTER you have inserted the statistics table and histograms. DATA DESCRIPTION: The following data represent the maximum breadths (widths in mm) of a collection of male Egyptian skulls from 4000 BC. Use SPSS to address the following items. SPSS NOTES: When you open SPSS select the Cancel button in the dialog box. That will leave you with a blank Data Editor. Enter the data listed below into the first column. As you enter data into the columns a variable name such as VAR00001 will be made automatically by SPSS. You may find it easier to rename these columns to the names noted in items 1 - 4. To do so, click on the “Variables” tab at the bottom of the Data Editor (lower left) and type the new names in the column containing the VAR0001, etc. names. DATA: 131 119 138 125 129 126 131 132 126 128 128 131 1) Skull: Enter the data above into the first column. 2) Skull_plus20: In a new SPSS column add 20 to each of the original values (e.g. 131 becomes 151). 3) Skull_times10: In a third column multiply each of the original values by 10 (e.g. 131 becomes 1310). 4) Skull_outlier: In a fourth column copy the data from the Skull variable, but change only the first value from "131" to "1311." STATISTICS ACQUISTION: 5) Obtain the following descriptive statistics for all four variables: Mean, Median, Mode, SD, Minimum, Maximum, Q1, Q3. [Note: move all variables to the right so that all statistics appear in one table.] 6) Place the statistics table (not the frequency tables) into your response where noted below. 7) Obtain histograms of the variables Skull and Skull_outlier. Place the two histograms where noted (see #11). DATA ANALYSIS: INSERT STATISTICS TABLE HERE 8) [.5[ Considering the Skull and Skull_plus20 variables: How is the mean affected if the same constant (here, 20) is added to each value in the data set? How is the median affected if the same constant is added to all values in the data set? How is the standard deviation affected if the same constant is added to each value in the data set? 9) [.5] Considering the Skull and Skull_times10 variables: How is the mean affected if each original score is multiplied by a constant (here, 10)? How is the median affected if each original score is multiplied by a constant (here, 10)? How is the standard deviation affected if each original scores is multiplied by a constant (here, 10)? 10) [.5] Considering the Skull and Skull_outlier variables: How is the mean affected by inclusion of this extreme score (here, 1311)? How is the median affected by inclusion of this extreme score? How is the standard deviation affected by inclusion of this extreme score? 11) [.5] Considering the Skull and Skull_outlier histograms INSERT HISTOGRAMS HERE. Distribution shapes: Compare the histograms of the variables Skull and Skull_outlier. For Skull_outlier, did inclusion of an outlier affect the shape of the distribution? If so, how would you characterize the Skewness of the distribution?