Question 2 (15 points) {dataset in worksheet Q2) Health care issues are receiving much attention in both academic and political arenas. A sociologist recently conducted a survey of citizens over 60 years old who have no private health insurance. They recruited 25 citizens and the ages are listed as following: 60 61 62 63 64 65 66 68 68 69 70 73 73 74 75 76 76 81 81 82 86 8'? 89 90 Q2 {1) Calculate the mean, median. range. Q1. Q3. and IRQ of the ages of the uninsured senior citizens in this sample. Please make sure you write the correct unit for each measurement. (6 points) {2] Which of the following statement is correct? (1 points} {a} One fourth of the senior citizens sampled are below 64 years age. (b) The middle 50% of the senior citizens sampled are between 65.5 and 73.0 years of age. {c} 25% of the senior citizens sampled are older than 81.5 years of age. {d} All of the above are correct. {3] What type of shape does the distribution of the sample appear to have? {Please describe in terms of \"symmetric\". \"leftskewed\" or \"rightskewed" .] Please produce a histogram, and draw your conclusion based on that. (3 points} {4] Calculate the variance of the ages in this sample.(1 points) {5] Calculate the standard deviation of the ages in this sample.(1 points} {6] Calculate the coefcient of variation of the ages in this sample.(1 points) {7] Draw a box plot of the ages in this sa.mple.(2 points}