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 32.5 miles per gallon. Interpret this result. (b) Determine the quartiles. (c) Compute and interpret the interquartile range, IQR.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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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 32.5 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?
Click the icon to view the data.
MPG Data
32.5
36.0
37.9
38.6
40.2
42.5
34.3
36.3
38.1
38.9
40.6
43.0
34.6
37.5
38.2
39.1
41.4
43.6
35.2
37.8
38.4
39.3
41.8
49.1
Transcribed Image Text: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 32.5 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? Click the icon to view the data. MPG Data 32.5 36.0 37.9 38.6 40.2 42.5 34.3 36.3 38.1 38.9 40.6 43.0 34.6 37.5 38.2 39.1 41.4 43.6 35.2 37.8 38.4 39.3 41.8 49.1
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