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Data Analysis Problem

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Data Analysis Problem

Three running backs each rushed the ball 19 times in their most recent games. Using the Running Back Data Set (Microsoft Excel), and the three data sets it contains, calculate mean, median, mode, variance, and standard deviation for each running back. Then, write a short paragraph describing the results. Be sure to discuss any unique issues related to data such as outliers, large variance, and so forth. What happens to each running back's results when you eliminate their longest run of the day?

Running Back A Running Back B Running Back C 4 3 5 2 -5 4 5 -8 5 8 15 4 -3 14 5 6 0 4 3 2 5 4 1 4 5 3 6 7 -3 3 8 44 6 4 2 3 3 3 6 3 2 3 4 2 7 0 2 2 11 0 7 6 5 2 5 3 4
Total 85 85 85
Mean 4.47 4.47 4.47
Median 4 2 4
Mode 4 2 4
Std Dev 3.06 10.95 1.50
Variance 9.37 119.82 2.26

Table 1: Running Back Data Set

All three running backs have the same total and average results as shown in Table 1. However, Running back A and Running back C have much more consistency in their results in comparison to running back B. Running back B’s results have a greater spread or dispersion of the data, therefore has the larger variance and standard deviation. Running back C has a greater concentration of the data around the central value, therefore resulting in minimal variation as seen with the smaller variance and standard deviation for Running back C’s data set.
By eliminating the running back’s longest run of the day the data set variation and standard deviation is reduced. Running back B has a significant reduction by approximately 50% in standard deviation from 10.95 to 5.46, therefore reducing variation in

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