Question: The following data collection represents the number of patrons served during the post-dinner evening coffee shop hours at Cafe Ole:

In order to summarize how many patrons typically were served during the post-dinner evening coffee shop hours at Cafe Ole, measure the center of this data collection by computing the following: (a) mean, (b) median, (c) midrange, (d) midquartile, and (e) mode(s). [COMMENTS & HINTS: Explain or justify your calculations.] Finally, the chief barista, Lottie, notes an evening as busy if at least 30 patrons have been served on average so she can plan accordingly for staffing and supplies. If you were a consultant hired to assist Lottie with her decision-making, (f) would you declare the evening hours as busy based on Lottie’s criteria and the aforementioned measures? Be sure to justify your response by citing appropriate measures. Store Manager Juanita has some expertise in the statistical sub-field of Exploratory Data Analysis (EDA) pioneered by the late Professor John W. Tukey of Princeton University.

She wants to determine his eponymous average, the trimean (i.e., the Tukey Trimean or TM) for this data. For bonus credit, (g) compute the trimean or Tukey’s trimean, given its formula is as follows

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