Knowledge and Understanding: 1. (i) Match the following scenarios with the types of distribution as discussed in class. (a) Your energy level hours after lunch. 1. Bi-Modal (b) The amount of snow fall per month over the year. 2. Uniform (c) Your lifetime savings over your lifetime. 3. Bell-Shaped (d) The midterm marks in MDM 4U of all students. 4- Left-Skewed (e) The cost of gasoline across London on any given day. 5. Right-Skewed (ii) Which of the meaSures of Central Tendency: Mean, Median or Mode is most appropriate for the following? (a) Salaries of hockey players on a team which includes 2 league All Stars. (b) Calculating the heights of basketball players who range from 1.9 m to 2.2 m. (c) The brand of car that was purchased over the past 2 years. 2. Given the following data of goals against averages for 1'? goalies in the Ontario Hockey League this year: 1.96, 1.99, 2.11 , 2.16, 2.26, 2.56 , 2.61 , 2.62 , 2.63 , 2.69 , 2.71 , 2.77 , 2.65 , 2.66 , 2.92 , 2.94 , 2.96 Calculate the mean, median, quartiles and the interquarle range of the data. Round to 2 decimals. 3. In a Science course at Western University, the course mark is based on 30% of the Term Mark, 23% of Lab Work, 12% of the Project and 35% of Final Exam. Georgette received 80 on her term mark, 87 on her lab, St] on her project and 95 on her final exam. What was Georgette's mark in the science course?I Application: 1. Given that marks last year in Data Management were Normally Distributed with p = 68 and SD = 4.5 Label the graph for approximate Normal Distribution by showing percentages under the Curve and the axis . u n+6 l-H'ZU 2. Using the information from #1 above, answer the following. No need to use your ZScore table here! (b) What range of marks do 95 % of the students lie between? (c) What percent of marks are greater than 77? (d) What percent of marks are between 63.5 and 77? (e) What percent of marks are less than 54.5? p+3cr