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In Exercises 37-40, use the data set, which represents the fuel econo highway mi

ID: 3203209 • Letter: I

Question

In Exercises 37-40, use the data set, which represents the fuel econo highway miles per gallon) of several Harley-Davidson motorcycles Total Motorcycle. Find the five-number summary of the data set. Find the interquartile range of the data set. Draw a box-and-whisker plot that represents the data set. About how many motorcycles fall on or below the third quartile Find the interquartile range of the data set from Exercise 13. The weights (in pounds) of the defensive players on a high sc team are shown below. Draw a box-and-whisker plot that repress set and describe the shape of the distribution. A student's test grade of 75 represents the 65th percentile What percent of students scored higher than 75? As of March 2013, there were 665 "oldies" radio stations States. One station finds that 106 stations have a larger dail it has. What percentile does this station come closest to in th rankings? The towing capacities (in pounds) of all the pickup truck at a ell-shaped distribution, with a mean of 11, 830 pounds and a s

Explanation / Answer

We arranged the data set and get,

x

42

42

42

47

47

48

48

50

53

53

53

53

54

54

54

54

54

57

57

60

60

Q37) Five Numbers Summary:

             Minimum, First Quartile, Second Quartile, Third Quartile and, Maximum

Minimum = 42

First Quartile = (47 + 48)/2 = 47.5

Second Quartile = 53

Third Quartile = (54+54)/2 = 54

Q38) Interquartile Range = Third Quartile – First Quartile

                                             = 54 – 47.5

                                             = 6.5

Q39)

Min                                                                                                                                        Max

                                           Q1                                        Q2          Q3

In the above boxplot we find that the left whisker is longer than the right whisker so we can conclude that the distribution is left skewed.

Q40)

The motorcycle fall on or below the third quartile is 17.

x

42

42

42

47

47

48

48

50

53

53

53

53

54

54

54

54

54

57

57

60

60