Questions: A certain car model was expected to get 532 miles (highway) on 22 gallons of gas. What was the mean number of miles per gallon (mpg)? The mean number of miles per gallon (mpg) is (Round to the nearest tenth as needed.)

Solution Steps

To find the mean number of miles per gallon (mpg), we start with the total miles driven and the total gallons of gas used. The formula for calculating mpg is given by:

\[ \text{mpg} = \frac{\text{Total Miles}}{\text{Total Gallons}} = \frac{532}{22} \]

Calculating this gives:

\[ \text{mpg} = 24.27272727 \ldots \]

Next, we round the calculated mpg to one decimal place:

\[ \text{mpg} \approx 24.3 \]

Since we only have one value for mpg, the mean is simply that value:

\[ \mu = \frac{\sum_{i=1}^N x_i}{N} = \frac{24.3}{1} = 24.3 \]

Final Answer