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.

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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.
Transcribed Image Text: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.
Expert Solution
Introduction

Since you have posted a question with multiple sub-parts, we will provide the solution only to the first three sub-parts as per our Q&A guidelines. Please repost the remaining sub-parts separately. 

The measure of central tendency is mean, median, and mode. There are three types of mean, they are arithmetic mean, geometric mean, and harmonic mean. The median is the measure that separates the entire data set into two equal halves. The mode is the most repeated measure of the data set. 

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