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Chapter 4 Weekly Questions: Total Points = 4 Last summer, an insurance company researcher conducted a survey on the number of car thefts in a large city for a period of 30 days. The stem-and-leaf display below shows the number of car thefts for the 30-day period. Notice the range of car thefts is from 50 — 77. Note: It is a standard statistical technique is to repeat the stems so that only leaves from (0 - 4) are included in a row, likewise for leaves (5 - 9). This technique is used to reduce the number of values in a row and to facilitate the reading of the values relatively quickly. 5 5 6 6 7 7 0 5 2 5 2 5 1 5 2 5 3 7 1 6 3 6 3 2 2 2 3 4 7 7 8 9 3 3 4 7 [0.25] 1. Using our number system in the context of this problem, what is the place value for the stem? [0.25] 2. Using our number system in the context of this problem, what is the place value for the leaves? [0.5] 3. In context, write an interpretation of row containing 7 (5 7). [1] 4a. State the mean and median for this distribution ( to one decimal place). 4b. Interpret the values for the mean and median, in context. [1] 5a. State the standard deviation (to one decimal place) and the show your work for the IQR 5b. Interpret the meaning of the IQR, in context. [1] 4. Describe this stem-and leaf display. Be sure that your description includes the appropriate shape, center and spread and in context.