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1. The following data are the distances between a sample of 20 retail stores and a...

1. The following data are the distances between a sample of 20 retail stores and a large distribution center. The distances are in miles.It is only necessary to show work for problem 1e calculations.Round all answers to two decimal places. 29, 37, 38, 40, 58, 67, 68, 69, 76, 86, 87, 95, 96, 96, 99, 106, 112, 127, 145, 150

a.Mean: _____________________Median: ____________________Mode: _____________________Range: _____________________Interquartile Range: __________

b. List the 5-number summary.

c. Variance: ____________________Standard Deviation: ____________

d. Calculate the lower and upper limits for determining if the data set contains any outliers. Lower Limit: __________________Upper Limit: __________________Do there appear to be any outliers? If so, which distances are outliers?

e. Construct a box-plot illustrating any outliers found in part (d). Be sure to label the axis appropriately.

f. Using the box-plot in part (e)would you describe the data distribution as symmetric, skewed left, or skewed right?

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