The accompanying histograms show the miles per gallon (mpg) for two makes of cars. Compare the distributions. Which make has a higher mpg? Which make has more variation in mpg?

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07-09-2021
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The accompanying histograms show the miles per gallon (mpg) for two makes of cars. Compare the distributions. Which make has a higher mpg? Which make has more variation in mpg?

Sagot :

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fichoh fichoh · Answer 1 · 2021-09-10T01:53:40-04:00

Acura cars have higher mpg while BMW has more variation in mpg.

From the histograms of mpg distribution for the two makes of car :

ACURA has most of its values at the center of the distribution with it's tail more conspicuous to the right at a maximum mpg value of 40 and a minimum of about 17.5 to the left.
BMW on the other hand has its mpg distribution more spread out towards both sides of the distribution, ranging from a minimum of about 3 mpg and to a maximum of about 37.5 mpg.
Hence, we could infer that, the histogram plot of BMW is more dispersed and hence has greater variation than ACURA.
Since ACURA has it's peak at the middle, with minimum and maximum mpg values of 17.5 and 40 respectively, which are sufficiently greater than the minimum and maximum mpg values of BMW (3.0 and 37.5 respectively). Then we can conclude that ACURA has greater mpg.

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