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.)
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.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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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
|
|
(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
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.)
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