1. In part of a study to determine reading rate among young adults, 14 people were asked to record how many books they read in a year. The results collected were: 2 12 15 3 495 7 10 3 96 4 8 a) Find the mean books read per year of this sample. One mark will be given for writing the correct formula with the correct symbols. [2] b) What is the mode books read per year? c) Arrange the data in order. [1] [1] d) List the five number summary for this data (lowest, Q1, Q2, Q3, highest), and find the inter-quartile range. e) Using the information from part d) create a box-and-whisker plot of the data. [3] [2] 2. A sample of 10 patients were asked how long (in minutes) after taking pain medication, they experienced a reduction in pain. There responses are listed in the chart below. a) Use the chart below to find the variance and standard deviation of the data. It is helpful to know that the mean of this data set is 28.6. Round all your answers to 2 decimal places. [5] Time [minutes] x-x (x-x) 15 24 36 32 22 29 44 39 17 28 = s = S= 3. In the last iteration of a statistics course, student's final grade were calculated using the marks they received on three quizzes, two tests, and one exam using the weights of 1, 3, and 5 respectively. [4] The marks for two students in the class (Wade and Logan) are listed below. Determine which student finished with the higher final grade, by finding the weighted average for both of them. Test Weight Wade Logan Quiz 1 1 73% 54% Quiz 2 1 62% 88% Quiz 3 1 93% 85% Test 1 3 89% 57% Test 2 3 71% 63% Exam 5 74% 94% 4. Consider the following sample space of college students. Their eye colour is given by row, and their gender is given by column. a) Complete the table by finding the number of each gender sampled, number of students with each eye colour sampled, and the total number of students sampled. [2] Male Female Total Blue 12 19 Brown 38 41 Green 4 2 Total Grand Total: b) Assuming that one college student is chosen at random, determine the following probabilities. Express your answer as a percent, to the nearest tenth of a percent. [6] i. The probability of being a male and having brown eyes. ii. The probability of being a female given that they have blue eyes. iii. The probability of having blue eyes given that they are female iv. The probability of being a female or having green eyes. V. The probability of not having brown eyes. vi. The probability of having blue or green eyes.