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MDM4U - Data Management istics Unit 1 - Statistics LESSON #3 KEY QUESTIONS (28 marks). These questions must be submitted for evaluation. Be sure to show full solutions to receive full marks. 1. Given the data set A = {7, 19, 6, 83, 12, 42, 19, 22, 7, 3} determine: a) the mean and median (2 marks) b) Q2 (1 mark) ) The standard deviation (3 marks) 2. Jasper is interested in analyzing the length of songs included on his favourite playlist. The song lengths (in minutes and seconds) are given below (8 marks total) 4:38 3:53 5:21 3:40 4:27 3:03 3:44 3:40 4:57 4:08 4:02 2:39 4:03 4:06 4:32 3:02 3:43 3:29 4:05 5:13 4:01 4:04 4:06 3:24 4:08 4:03 4:13 4:05 a) Construct a relative frequency histogram for this data, using intervals of 15 seconds. Show your tables of sorted values and relative frequencies. You can choose to do this by hand or use a spreadsheet program. (5 marks) b) What song length represents the 30th percentile? (3 marks) 3. Ruby can choose one of two different routes to take to work. She records the time (in minutes) that a trip takes for each route for the next two work weeks. She then records the times in the following table: City route 39 42 39 41 42 Backcountry 35 45 40 41 40 route a) Find the mean and the standard deviation for each route. (6 marks) b) Which is the best route for Ruby to take to work? Use information from part a to guide your answer for part b. (2 marks) 43 | Page