Question: Slide 10: Quartiles The following data represent the miles per gallon of a random sample of SMART cars with a three-cylinder, 1.0-liter engine. 31.5 34.3

Slide 10: Quartiles

The following data represent the miles per gallon of a random sample of SMART cars with a three-cylinder, 1.0-liter engine.

31.5

34.3

36.0

36.3

37.8

37.9

34.5

35.5

37.4

37.5

38.0

38.3

38.4

38.8

39.3

39 5

40.1

40.6

42.3

42.7

41.4

41.5

43.5

47.5

a. Compute the -score corresponding to the individual who obtained 36.3 miles per gallon. Interpret this result.

b. Determine the quartiles.

c. Compute and interpret the interquartile range, IQR.

Determine the lower and upper fences. Are there any outliers?

Slide 11: Five Number Summaries and Box Plots

Age at Inauguration The following data represent the age of U.S. presidents on their respective inauguration days (through Donald Trump)

42

43

46

46

47

47

48

49

49

50

50

51

51

51

51

52

54

52

54

54

55

54

55

54

55

55

57

61

56

57

61

56

57

61

56

58

62

57

60

64

64

65

68

69

70

a. Find the five-number summary.

b. Construct a boxplot.

c. Comment on the shape of the distribution.

Slide 12: Linear Correlation Coefficient

List the 8 properties of the linear correlation coefficient

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