Question

The highway mileage (mpg) for a sample of 8 different models of a car company can be found below. Which boxplot would be most appropriate? 18, 20, 24, 26, 30, 32, 36, 36

18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 mpg 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 mpg 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 mpg 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 mpg


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Answer #1

"C" is the answer.

A boxplot is a standardized way of displaying the distribution of data based on a five number summary (“minimum”, first quartile (Q1), median, third quartile (Q3), and “maximum”).

So, there are 8 observation this data will have two medians that are 26 and 30. So the median of this data will be the average of these two and that comes out to be 28. The vertical line in the box of the box plot represents the median value of the data. So the answer will be C.

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