The manager of a large investment firm wants to review the distribution of the ages of its stockbrokers. She believes that this information will be useful in developing plans relating to recruitment and retirement options. The ages, in years, of a sample of 25 brokers (arranged in order) are as follows.24 28 32 36 38 41 42 44 44 45 46 47 47 49 5051 52 54 55 57 58 59 61 64 66(a) What is the population under consideration here? What is the unit?(b) What is the variable here? Explain whether it is continuous or discrete.(c) Draw a stem-and-leaf plot with stems 2, 3, 4, 5, and 6. What is the leaf unit?(d) Describe the shape of the distribution.(e) Refer to (d). What percentage of ages in the sample are between 20 and 40? Does the firm have reason to be concerned about the distribution of ages of its brokers? Explain.(f) For these data, ?????????????????=1=1190 and ?????????2????????=1=59414. Find the sample mean, variance, and standard deviation of the ages.?n i=1 xi=1190 ?n i=1 xi^2=59414

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