Question

In: Statistics and Probability

To best determine the fuel economy of a​ car, an automotive technician calculates the mean gas...

To best determine the fuel economy of a​ car, an automotive technician calculates the mean gas mileage computed for 10 full tanks of gas.

a. Use intervals of 0.9 beginning at 19.0 to compute the mean fuel economy​ (in miles per​ gallon) from the following data.

21.6 19.5 20.6 20.5 19.4 21.3 22.2 20.1 19.6 21.8
b. At ​$3.00 per​ gallon, use the mean fuel economy to calculate the average cost per mile to operate this vehicle
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a. The mean fuel economy is nothing

? ​mi/gal.

​(Type an integer or a​ decimal.)

b. To calculate the average cost per mile to operate this​ vehicle, divide the price per​ gallon,

$ 3.00 by the mean fuel economy.

Solutions

Expert Solution

To best determine the fuel economy of a​ car, an automotive technician calculates the mean gas mileage computed for 10 full tanks of gas.

a. Use intervals of 0.9 beginning at 19.0 to compute the mean fuel economy​ (in miles per​ gallon) from the following data.

21.6 19.5 20.6 20.5 19.4 21.3 22.2 20.1 19.6 21.8
b. At ​$3.00 per​ gallon, use the mean fuel economy to calculate the average cost per mile to operate this vehicle

class interval

midpoint x

frequency f

f*x

19.0-19.8

19.4

3  

58.2

19.9-20.7

20.3

3  

60.9

20.8-21.6

21.2

2  

42.4

21.7-22.5

22.1

2  

44.2

10

205.7

=20.57

a. The mean fuel economy is

20.57 ​mi/gal.

​(Type an integer or a​ decimal.)

b. To calculate the average cost per mile to operate this​ vehicle, divide the price per​ gallon,

$ 3.00 by the mean fuel economy.

average cost per mile = 3/20.57 =0.14584346

= $0.15


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