Question 1 [12 Points] The following histogram shows the results of asking 40 families how many pets they own. Number of Pets in a Household Count 0 1 2 3 4 5 6 7 8 Number of Pets a. [3 Point] State the individual(s) and variable(s) for this data. Are the variable(s) categorical or quantitative? b. [1 Point] What is the shape of the distribution? c. [1 Point] What is the mean of the distribution? d. [2.5 Points] What is the five-number summary for this distribution? e. [2 Points] Use the IOR rule to determine if there are any outliers. f. [2.5 points] Draw a box plot for this dataset. Question 2 [11 Points] The following data represents the birth weight in lbs of a group of students in grade 1. 7.9 6.0 6.5 5.9 6.9 8.3 6.7 4.2 74 11.2 5.3 7.5 5.8 7.2 8.4 6.6 8.6 5.6 5.8 10.2 105 46 6.1 5.4 [3 Points] Draw a stem plot. [1 Point] What is the mode of this dataset? [3 Points] Calculate the mean and median of this dataset. Compare these values and state what this tells you about the shape of the distribution. [4 Points] Does this dataset contain any outliers? How do you know? Question 3 [12 Points] This is the highest mark in course ABC for the past 6 terms: 83 86 24 86 37 84 . [2 Points] Calculate the mean and standard deviation. [2.5 Points] Calculate the five-number summary. [1.5 Points] In arder to describe this dataset, would you use the measurements from part (a) ar part (b)? Briefly explain why? [6 Points] If the grade of 87 was recorded incorrectly and should be 97, what would your answers be to the questions in parts a, b, c? Question 4 [10 Points] Suppose the mean height for adult females in Canada is 66 inches and the standard deviation is 3 inches. Assume these heights follow a normal distribution. a. [2 Points] What percentage of adult females are above 75 inches tall? Use the 68-95- 99.7 rule and draw a picture that illustrates your rationale. b. [2 Points] What percentage of adult females are between 60 and 72 inches tall? Use the 68-95-99.7 rule and draw a picture that illustrates your rationale. c. [3 Points] What percentage of adult females are between 63 and 70.5 inches tall? Use Table A from the textbook. Show all your work. d. [3 Points] How tall must an adult female be to be placed in the top 10% of all adult females in Canada? Use Table A from the textbook. Draw and picture and show all your work. Part 2 Python (Be sure to show all your code and results *MNote: you do not have to use the exact coding learnt in the labs to earn full marks Question 5 [5 Points] A soft drink machine has 5 options to choose from: Coca-Cola, Dr. Pepper, Sprite, Diet Coke, and Pepsi. A sample of 50 soft drink purchases is selected, and the proportion of each selectionis shown below. Soft Drink Percentage % Coca-Cola 25 Diet Coke 25 Dr. Pepper 15 Pepsi 30 Sprite 5 a. [2 points] Can we use a pie chart for this dataset? Why? b. [3 points] Create a pie chart to display the distribution of soft drink purchases. Use these colours: Coca-Cola is brown, Diet Coke is white, Dr. Pepper is red, Pepsi is blue, and Sprite is green. Note: If your answer in part a. is NO, you may improve the dataset in order to create a pie chart