24. Marathon winners The histogram and box plots below show the distribution of finishing times for male and female winners of the New York Marathon between 1970 and 1999. 20 10 0 LLE T 2.0 males 2.4 Marathon times (in hrs) females 2.8 2.0 НІН 3.2 HO 2.4 3.2 Marathon times (in hrs) a. What features of the distribution are apparent in the histogram and not the box plot? What features are apparent in the box plot but not in the histogram? b. What may be the reason for the bimodal distribution? Explain. c. Compare the distribution of marathon times for men and women based on the box plot shown below. 2.8 2.4 2.0 T 2.8 3.2

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24. Marathon winners The histogram and box plots below show the
distribution of finishing times for male and female winners of the New York
Marathon between 1970 and 1999.
20
10
0
LLE
2.0
2.4
Marathon times (in hrs)
2.8
males-
females
3.2
3.2
HD
2.8
a. What features of the distribution are apparent in the histogram and
not the box plot? What features are apparent in the box plot but not
in the histogram?
b. What may be the reason for the bimodal distribution? Explain.
c. Compare the distribution of marathon times for men and women
based on the box plot shown below.
HIH
2.4
2.0
2.0
2.4
2.8
d. The time series plot shown below is another way to look at these
data. Describe what is visible in this plot but not in the others.
3.2
Transcribed Image Text:24. Marathon winners The histogram and box plots below show the distribution of finishing times for male and female winners of the New York Marathon between 1970 and 1999. 20 10 0 LLE 2.0 2.4 Marathon times (in hrs) 2.8 males- females 3.2 3.2 HD 2.8 a. What features of the distribution are apparent in the histogram and not the box plot? What features are apparent in the box plot but not in the histogram? b. What may be the reason for the bimodal distribution? Explain. c. Compare the distribution of marathon times for men and women based on the box plot shown below. HIH 2.4 2.0 2.0 2.4 2.8 d. The time series plot shown below is another way to look at these data. Describe what is visible in this plot but not in the others. 3.2
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