A sociologist recently conducted a survey of retirees over 65 years of age, whose net worth is too high to qualify for Medicaid in the U.S and who have no private health insurance. The ages of 20 uninsured retirees were as follows: 65, 66, 67, 68, 69, 70, 71, 73, 74, 75, 78, 79, 80, 81, 86, 87, 91, 92, 94, and 97. a. Determine the mean, median and mode. (3 marks) b. Work out the 1st and 3rd quartiles. (2 marks) c. Calculate Identify the interquartile range of the ages of the uninsured retirees. Explain how this value tell you about the data. (2 marks) d. Describe the shape of the distribution of ages by comparing the quartiles. (2 marks) e. Calculate the standard deviation of the data set. (1 mark) f. Construct a relative and cumulative frequency distribution table for the data, using four class intervals and the value 60 as the lower limit of the first class. (2 marks) g. Draw a relative frequency histogram and pie chart for the data. Comment and summarize on your findings