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The Department of Energy provides fuel economy ratings for all cars and light tr

ID: 3202220 • Letter: T

Question

The Department of Energy provides fuel economy ratings for all cars and light trucks sold in the United States. Here are the estimated miles per gallon for city driving for 30 cars classified as midsize, arranged in increasing order.

(a) Give the five-number summary of this distribution.



(b) Draw a boxplot of these data.


What is the shape of the distribution shown by the boxplot?

skewed right

skewed left    

symmetric


Which features of the boxplot led you to this conclusion?

The plot has a long tail towards high values.

The plot has a long tail towards low values.   

The plot is symmetric.


Are any observations unusually small or large?
Yes, there are a few unusually large ones.

Yes, there are a few unusually small ones.   

Yes, there are a few unusually large and a few unusually small ones.

No, there are no unusually large or small ones.

11 12 12 13 13 14 14 14 15 15 15 16 16 16 17 17 17 17 17 18 18 19 20 20 20 22 23 30 38 46 k -XX"x-)x-* )#7 *

Explanation / Answer

Result:

(a) Give the five-number summary of this distribution.

minimum

  11  

Q1

14.25

median

    17

Q3

19.75

maximum

   46

Graph1 (top left)

What is the shape of the distribution shown by the boxplot?

Answer: skewed right

skewed left    

symmetric


Which features of the boxplot led you to this conclusion?

Answer: The plot has a long tail towards high values.

The plot has a long tail towards low values.   

The plot is symmetric.


Are any observations unusually small or large?
Answer: Yes, there are a few unusually large ones.

Yes, there are a few unusually small ones.   

Yes, there are a few unusually large and a few unusually small ones.

No, there are no unusually large or small ones.

minimum

  11  

Q1

14.25

median

    17

Q3

19.75

maximum

   46

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