Assignment1Solutions - STAT 241/251 Assignment#1 Solutions 1 a The summary statistics are as follows BAAQMD Sample Mean 33.5 Sample SD 51.5 Sample

# Assignment1Solutions - STAT 241/251 Assignment#1 Solutions...

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STAT 241/251 Assignment #1 Solutions 1 a) The summary statistics are as follows: BAAQMD Refinery Sample Mean 33.5 66.6 Sample SD 51.5 35.9 Sample Median 20 58 Sample IQR 5 44.5 b) Since we want to compare the distribution of numerical values over a grouping variable, we would want to use a boxplot. (Histograms may be acceptable as well, but they should be on the same scale.) It is apparent that there is one very large outlier for the CO measures from BAAQMD. The other values that are assessed as outliers are more of a judgment call; however, the very large value associated with BAAQMD measured CO levels is likely an outlier. We can see that the center and spread of data obtained for BAAQMD are generally lower when compared to the data obtained by the refinery. The spread of the data is roughly symmetric (perhaps slightly right skewed for the refinery measurements).

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c) Remove the single outlier noted with BAAQMD. (Whether or not the others are removed is a judgment call) BAAQMD (outlier present) BAAQMD (outlier removed) Sample Mean 33.5 16.4 Sample SD 51.5 6.4

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