An insurance company recently conducted a survey of citizens over 60 years of age whose net worth is too high to qualify for Medicaid and have no private health insurance. The ages of 25 uninsured senior citizens were as follows:
60 61 62 63 64 65 66 68 68 69 70 73 73 74 75 76 76 81 81 82 86 87 89 90 92
a) calculate the arithmetic mean age of the uninsured senior citizens to the nearest hundredth of a year
b) identify the median age of the uninsured senior citizens
c) identify the first quartile of the ages of the uninsured senior citizens
d) identify which if the following is the correct statement
1) one fourth of the senior citizens sampled are below 65.5 years of age
2) the middle 50% of the senior citizens sampled are between 65.5 and 73.0 years of age
3) the average age of senior citizens sampled is 73.5 years of age
4) all of the above are correct
e) calculate the standard deviation of the ages of the uninsured senior citizens correct to the nearest hundredth of a year.