Question

4) In automobile mileage and gasoline-consumption testing, 6 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 16 16.2 Highway 19.4 20.6 18.3 18.6 18.6 18.7 Use mean, median, and mode to make a statement about the difference in performance for city and highway driving. Which area of Statistics helps you to either validate or disprove such a statement and why?

Answer 1

I use R for computing the calculations:

x=c(16.2,16.7,15.9,14.4,16,16.2)

y=c(19.4,20.6,18.3,18.6,18.6,18.7)

summary(x)

summary(y)

z=table(x)

names(z)[which(z==max(z))]

z=table(y)

names(z)[which(z==max(z))]

And the Output is as follows

   Min. 1st Qu.  Median    Mean  3rd Qu.    Max. 
  14.40   15.92   16.10   15.90   16.20   16.70 
   Min. 1st Qu.  Median    Mean  3rd Qu.    Max. 
  18.30   18.60   18.65   19.03   19.22   20.60 
[1] "16.2"
[1] "18.6"

Here it is seen that, the mileage is in city is less than on highway.

From all type of Statistics mean, Median mode. But we have to use average mileage to get statement about that. since the on an average is better thing to tell than maximum mileage.