1. Health care issues are receiving much attention in both academic and political arenas. A sociologist recently conducted a survey of citizens over 60 years of age whose net worth is too high to qualify for Medicaid. The ages of 25 senior citizens were as follows: 40 marks 60 6 1 62 63 64 65 66 68 68 69 7D 73 ?3 T4 75 76 T6 81 81 82 86 87 89 90 92 a. Calculate the arithmetic mean age of the senior citizens to the nearest hundredth of a year. 5 marks b. Determine the median age of the senior citizens. marks c. Determine the rst quartile of the ages of the senior citizens. 5 marks d. Determine the third quartile of the ages of the senior citizens. 5 marks e. Determine the interquartilc range of the ages of the senior citizens. 5 marks f. Determine which of the following is the correct statement. 2.5 marks A) The middle 50% of the senior citizens sampled are between 65.5 and 73.0 years of age. B) One fourth of the senior citizens sampled are below 65.5 years of age. C) The mean age of senior citizens sampled is 7'35 years of age. D) All the above are correct. g. Identify which of the following is the correct statement. 2.5 marks A) 25% of the senior citizens sampled are older than 81.5 years of age. B) The middle 50% of the senior citizens sampled are between 65.5 and 73.0 years of age. C) One fourth of the senior citizens sampled are below 64 years of age. D) All the above are correct. h. Calculate the variance of the ages of the senior citizens correct to the nearest hundredth of a year squared. 5 marks i. Calculate the standard deviation of the ages of the senior citizens correct to the nearest hundredth of a year. 5 marks