4. The histogram and boxplot below show the distribution of finishing times for male and female winners of the New York Marathon between 1970 and 1999. 20- 10- 0 2.4 2.8 a. What features of the distribution are apparent in the histogram and not in the boxplot? What features are apparent in the boxplot but not in the histogram? What may be the reason for the bimodal distribution? Explain. b. c. Compare the distribution of marathon times for men and women based on the side-by-side boxplots shown below. Marathon times 2.0 Men- Women- 2.8 2.4- 2.0 2.0- HIH 3.2 HO 2.4 3.2- 2.8- 2.4 2.0- 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- 1970 1975 1980 Note: Marathon times are times for the winner 2.8 .. 1985 3.2 1990 1995 Women Men 2000

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4. The histogram and boxplot below show the distribution of finishing times for male
and female winners of the New York Marathon between 1970 and 1999.
U
20
10-
Marathon times
0
2.0
Men-
Women-
2.4 2.8 3.2
a. What features of the distribution are apparent in the histogram and not in the
boxplot? What features are apparent in the boxplot 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
side-by-side boxplots shown below.
HIH
2.8-
2.4-
2.0
2.0
HI
2.4
3.2
.
1970
1975
1980
Note: Marathon times are times for the winner
2.8-
2.4
2.0-
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
2.8
...
1985
3.2
1990
1995
Women
Men
2000
Transcribed Image Text:4. The histogram and boxplot below show the distribution of finishing times for male and female winners of the New York Marathon between 1970 and 1999. U 20 10- Marathon times 0 2.0 Men- Women- 2.4 2.8 3.2 a. What features of the distribution are apparent in the histogram and not in the boxplot? What features are apparent in the boxplot 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 side-by-side boxplots shown below. HIH 2.8- 2.4- 2.0 2.0 HI 2.4 3.2 . 1970 1975 1980 Note: Marathon times are times for the winner 2.8- 2.4 2.0- 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 2.8 ... 1985 3.2 1990 1995 Women Men 2000
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