22. Ages from a random sample of 18 athletes in the 2012 London Olympics is provided below. Ages are from athletes across any of the events. Calculate the following summary statistics to explore the distribution of ages for Olympic athletes. 21, 22, 26, 24, 32, 21, 21, 20, 22, 31, 34, 23, 27, 26, 29, 20, 22, 29 (a) Find the mean and median of the data. (b) Based on the mean and median, what can be said about the likely shape of the data? Does this make sense given the setting for the data? Explain. (c) Which of the two measures of center is more appropriate for this data? Explain. (d) Find the standard deviation and IQR of the the data using the calculator. (e) Which of the two measures of spread is most appropriate for the data? Explain.

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