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 37.5 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? 32.7 34.3 34.7 35.5 36.1 36.3 37.5 37.6 38.0 38.1 38.3 38.5 38.7 39.1 39.3 39.5 40.1 40.6 41.5 41.6 42.1 42.8 43.4 49.0 a) Compute the z-score corresponding to the individual who obtained 37.5 miles per gallon. Interpret this result. The z-score corresponding to the individual is _ and indicates that the data value is standard deviation(s) _ (above/below) the _ (mean/median). (Type integers or decimals rounded to two decimal places as needed.) (b) Determine the quartiles. Q1=_mpg (Type an integer or a decimal. Do not round.) Q2=mpg (Type an integer or a decimal. Do not round.) Q3=mpg (Type an integer or a decimal. Do not round.) (d) Determine the lower and upper fences. Are there any outliers? The lower fence is. (Type an integer or a decimal. Do not round.) The upper fence is. (Type an integer or a decimal. Do not round.)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 37.5 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?

32.7
34.3
34.7
35.5
36.1
36.3
37.5
37.6
38.0
38.1
38.3
38.5
38.7
39.1
39.3
39.5
40.1
40.6
41.5
41.6
42.1
42.8
43.4
49.0

a) Compute the z-score corresponding to the individual who obtained

37.5 miles per gallon. Interpret this result.

The z-score corresponding to the individual is ___ and indicates that the data value is ____ standard deviation(s) ___ (above/below) the ___ (mean/median).

(Type integers or decimals rounded to two decimal places as needed.)

(b) Determine the quartiles.

Q1=___mpg