The accompanying data represent the miles per gallon of a random sample of cars with a​ three-cylinder, 1.0 liter engine. ​ (a) Compute the​ z-score corresponding to the individual who obtained 38.7 miles per gallon. 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?

32.5, 34.3, 34.5, 35.4, 36.0, 36.4, 37.4, 37.6, 37.9, 38.1, 38.3, 38.6, 38.7, 39.1, 39.5, 39.6, 39.9, 40.6, 41.3, 41.7, 42.3, 42.7, 43.2, 49.1