The graph below shows the histogram for the number of parking spots per garage in downtown Vancouver. Q1) # of garages 8 T T 99 4 2 0 50 50 100 150 200 250 # of Parking/garage a) Which statistics would you use to identify the center and spread of this distribution? Why? (5 points) b) How many modes would you classify? Explain. (5 points) Q2) A team of veterinarians wants to compare the effectiveness of two fertility treatments for dairy cows. The two treatments are in-vitro fertilization and male fertility medications. (4 points) The explanatory variable is: The response variable is: Q3) The table below shows the running distance covered by each participant in 60 minutes. Name Distance (KM) Vahid 11.2 Lexi 8.8 Eva 9.8 John 3.4 Jack 7.4 Sara 13.4 Dave 6.2 Joe 7 Sarah 12.1 Tom 4.3 5.7 Jerry Using the table above, please answer the following questions: (Please show your work for the full mark) (3 points for each) 1. Summary a. Mean: b. Variance: c. Standard deviation: d. Median 2. Using the Inclusive method at 25% a. Q1: b. Q3: c. IQR: d. Range: e. Lower Whisker limit: f. Upper Whisker limit: 3. Using the Exclusive method at 20% a. Q1: b. Q3: C. IQR: d. Range: e. Lower Whisker limit: f. Upper Whisker limit: Q4) A research team decided to test the side effect of a newly developed drug on male participants. After injecting each volunteer, the team recorded the participants' heartbeats per minute (HBP). The control group had the following HBP: 98, 96, 94, 88, 86, 82, 77, 74, 70, 60, 59, 52, 50, 47, 40, 35, 29, 13, 6, 5 The test group had the following HBP: 100, 97, 96, 97, 93, 89, 88, 84, 77, 67, 61 a) Display these data in two box-plot graphs using the inclusive method (24 points). For the full mark, indicate Q1, Q2, Q3, Mean, and both Whiskers in the graphs.