Question

In automobile mileage and gasoline-consumption testing, 13 automobiles were road tested for 300 miles in both city and highway driving conditions. The following data were recorded for miles-per-gallon performance.City: 16.2 16.7 15.9 14.4 13.2 15.3 16.8 16.0 16.1 15.3 15.2 15.3 16.2 Highway: 19.4 20.6 18.3 18.6 19.2 17.4 17.2 18.6 19.0 21.1 19.4 18.5 18.7 Use the mean, median, and mode to make a statement about the difference in performance for city and highway driving.

Answer 1

Looking at the mean, the median and the mode, cars are more efficient on a highway than in a city

Explanation:

First, we calculate the average (mean) performance by adding all values and dividing the sum by the number of values added.

`Mean_(city) =((16.2+16.7+15.9+14.4+13.2+15.3+16.8+16.0+16.1+15.3+15.2+15.3+16.2)mpg )/(13) =15.6 mpg`

`Mean_(highway) =((19.4+20.6+18.3+18.6+19.2+17.4+17.2+18.6+19.0+21.1+19.4+18.5+18.7 )mpg )/(13) =18.9 mpg`

Then, to know what the median is, we have to order from least to greatest and look the middle value, i.e. half of the values will be higher than the median and half will be lower.

For the mode, we have to look up what is the most repeated value in our list.

For city performances:

1. 13.2
2. 14.4
3. 15.2
4. 15.3
5. 15.3
6. 15.3
7. 15.9
8. 16
9. 16.1
10. 16.2
11. 16.2
12. 16.7
13. 16.8

The median value is 15.9 miles per gallon, and the mode is 15.3 miles per gallon.

For highway performances:

1. 17.2
2. 17.4
3. 18.3
4. 18.5
5. 18.6
6. 18.6
7. 18.7
8. 19
9. 19.2
10. 19.4
11. 19.4
12. 20.6
13. 21.1

The median value is 18.7 miles per gallon, and the mode is 18.6 and 19.4 miles per gallon.

We can say then, that looking at the mean, the median and the mode, cars are more efficient on a highway than in a city and that the least-consuming car in a city still is worst in terms of efficiency than the worst-performing in a highway.