Use the following data to answer questions (16)-(18). Here are the scores on a recent statistics midterm exam (Scores have been listed from lowest to highest). A histogram showing the distribution is also included.
16. Which measure of center, mean or median, would be most appropriate, and why? Using the data and the histogram, find the approximate value of the appropriate measure of center, and describe how you found it.
17. Choose the most appropriate measure of variability for the data and calculate it. Explain why you chose the measure of variability that you did. Round all calculations to the nearest tenth if necessary.
18. The worst midterm grade was received by a student who was absent the week prior to the exam due to illness. Should this grade be considered an outlier? Explain and support your reasoning. Be sure to state what you would do with this data value.
Chapter 3 Test C 3- 5
Grand Rapids: 50, 75, 93.5, 105, 125
Muskegon: 59, 62, 80.5, 85, 94
Use the following information for questions (19) and (20). The boxplots below are from a Graphing Calulator. The boxplots summarize the cost in dollars of a typical evening out for two people (dinner and a movie) in two different cities in west Michigan, Muskegon (top boxplot) and Grand Rapids (bottom boxplot). The five-number summaries are also given for each city.
19. Explain which city you think is more economical for an evening out and why. Be sure to comment on differences in typical value and variation for each city.
20. Brian and his significant other plan to visit west Michigan and eat out every night at a different restaurant. He wants to be careful about his budget. Based on the information provided, which city would be best for them to visit and why?