Question

Certain cars from Company X can travel an average of 37 miles per gallon of gas, with a mean absolute deviation of 8 miles per gallon. Certain cars from Company Y can travel an average of 33 miles per gallon of gas, with a mean absolute deviation of 10 miles per gallon. Which statement about the gas mileage of the cars from these companies is true?

a) Company X cars have better gas mileage on average.
b) Company Y cars have lower variability in gas mileage.
c) Company X cars have lower variability in gas mileage.
d) Company Y cars have better gas mileage on average.

Answer 1

Company X cars not only have better gas mileage on average with 37 mpg compared to Company Y's 33 mpg, but also exhibit lower variability with a mean absolute deviation of 8 mpg versus Company Y's 10 mpg.

Step-by-step explanation:

Comparing the average gas mileage and variability for cars from Company X and Company Y, we can determine the following:

• Company X cars have better gas mileage on average since they can travel an average of 37 miles per gallon versus the 33 miles per gallon of Company Y.
• Company X cars have lower variability in gas mileage as evidenced by the mean absolute deviation of 8 miles per gallon, which is less than Company Y's 10 miles per gallon.

Therefore, from the information given, the correct statements about the gas mileage of the cars from these companies are:

1. Company X cars have better gas mileage on average.
2. Company X cars have lower variability in gas mileage.

Answer 2

Company X's cars have better gas mileage on average and also have lower variability in gas mileage compared to Company Y's cars.

Step-by-step explanation:

Regarding the gas mileage of cars from Company X and Company Y, we can deduce the following by looking at the average miles per gallon (mpg) and the mean absolute deviation:

• Company X's cars travel an average of 37 miles per gallon of gas with a mean absolute deviation of 8 miles per gallon.
• Company Y's cars travel an average of 33 miles per gallon of gas with a mean absolute deviation of 10 miles per gallon.

Therefore, a) Company X cars have better gas mileage on average is a true statement since the average mpg is higher for Company X compared to Company Y. Also, c) Company X cars have lower variability in gas mileage is true because the smaller mean absolute deviation indicates less variability around the average compared to Company Y.

From the given information, we can see that the average gas mileage for Company X cars is 37 miles per gallon, while the average gas mileage for Company Y cars is 33 miles per gallon. The mean absolute deviation for Company X cars is 8 miles per gallon, while the mean absolute deviation for Company Y cars is 10 miles per gallon.