The Department of Energy provides fuel economy ratings for all cars and light trucks sold in the United States. Offered are the estimated miles per gallon for city driving for the 186186 cars classified as midsize in 2016, arranged in increasing order: 11 11 11 12 13 13 13 14 14 14 14 14 15 15 15 15 15 15 16 16 16 16 16 16 16 16 16 16 16 16 16 17 17 17 17 17 17 18 18 18 18 18 18 18 18 18 19 19 19 19 19 19 19 19 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 21 21 21 21 21 21 21 21 21 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 23 23 23 23 23 23 23 24 24 24 24 24 24 24 24 24 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 26 26 26 26 26 26 26 26 26 26 26 27 27 27 27 27 27 27 27 27 27 27 27 27 28 28 28 28 28 28 28 28 28 28 29 29 29 29 29 29 30 30 30 30 31 31 35 36 39 40 40 40 40 41 43 44 54 58   Give the five‑number summary of this distribution. (Round your entries to two decimal places.) Min=     ?1=     Median=     ?3=     Max=     (b) Select the correct boxplot representing these data.         What is the shape of the distribution shown by the boxplot? Which features of the boxplot led you to this conclusion? Are any observations unusually small or large? The boxplot doesn't show any conclusive interpretation of the data. The boxplot provided shows right‑skew in the distribution of mpg values. There are high outliers from hybrid cars. The boxplot provided shows left‑skew in the distribution of mpg values. There are low outliers from older cars with low mpg. The boxplot provided shows a symmetric distribution of mpg values.

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Author:Amos Gilat
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Chapter1: Starting With Matlab
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The Department of Energy provides fuel economy ratings for all cars and light trucks sold in the United States. Offered are the estimated miles per gallon for city driving for the 186186 cars classified as midsize in 2016, arranged in increasing order:
11 11 11 12 13 13 13 14 14 14 14 14 15 15 15 15 15 15
16 16 16 16 16 16 16 16 16 16 16 16 16 17 17 17 17 17
17 18 18 18 18 18 18 18 18 18 19 19 19 19 19 19 19 19
20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20
21 21 21 21 21 21 21 21 21 22 22 22 22 22 22 22 22 22
22 22 22 22 22 22 22 23 23 23 23 23 23 23 24 24 24 24
24 24 24 24 24 25 25 25 25 25 25 25 25 25 25 25 25 25
25 25 26 26 26 26 26 26 26 26 26 26 26 27 27 27 27 27
27 27 27 27 27 27 27 27 28 28 28 28 28 28 28 28 28 28
29 29 29 29 29 29 30 30 30 30 31 31 35 36 39 40 40 40
40 41 43 44 54 58

 

Give the five‑number summary of this distribution. (Round your entries to two decimal places.)

Min=
 
 
?1=
 
 
Median=
 
 
?3=
 
 
Max=
 
 
(b) Select the correct boxplot representing these data.
 
 
 
 
What is the shape of the distribution shown by the boxplot? Which features of the boxplot led you to this conclusion? Are any observations unusually small or large?
The boxplot doesn't show any conclusive interpretation of the data.
The boxplot provided shows right‑skew in the distribution of mpg values. There are high outliers from hybrid cars.
The boxplot provided shows left‑skew in the distribution of mpg values. There are low outliers from older cars with low mpg.
The boxplot provided shows a symmetric distribution of mpg values.
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Which values are suspected outliers by the 1.5 × ???1.5 × �⁢�⁢� rule? Give your answer in the form of a semi-colon-separated list in ascending order. Enter ??? if there are no such outliers.

right outliers:

left outliers:

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