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

(a) Compute thez-score corresponding to the individual who obtained 34.2 miles per gallon. Interpret this result.

(b) Determine the quartiles.

(c) Compute and interpret the interquartilerange, IQR.

(d) Determine the lower and upper fences. Are there anyoutliers?

Data:

32.4 36.0 37.6 38.6 40.3 42.6

34.2 36.4 37.8 38.9 40.5 42.8

34.4 37.3 38.1 39.3 41.4 43.5

35.3 37.4 38.4 39.6 41.7 49.1

(a) Compute thez-score corresponding to the individual who obtained 34.2 miles per gallon. Interpret this result.

Thez-score corresponding to the individual is ______ and indicates that the data value is

_____ standarddeviation(s) ____ (above or below) the ____ (mean or median).