Question 5: SMART Car

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

36.0

37.8

38.4

40.1

42.3

34.3

36.3

37.9

38.8

40.6

42.7

34.5

37.4

38.0

39.3

41.4

43.5

35.5

37.5

38.3

39.5

41.5

47.5

A)Compute the z-score corresponding to the individual who obtained 36.3 miles per gallon. Assume the mean of the data is 38.775 and the standard deviation is 3.416. Interpret this result.

B)Determine the quartiles.

C)Compute and interpret the interquartile range, IQR.

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