Question

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 37.637.6 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?

32.6 36.2 38.0 38.5 40.3 42.1 34.5 36.4 38.1

39.0 40.5 42.5 34.7 37.4 38.2 39.3 41.4

43.6 35.8 37.6 38.4 39.5 41.6 49.2 THESE NUMBERS ARE FOR THE WHOLE PROBLEM

Answer 1

First of all we are going to find mean and standard deviation. We can use excel command =average() for mean and =stdev() for standard deviation. Then find quartiles and then IQR..

If any value exists beyond upper and lower fence then outliers exists.