\( 39.2,29.1,38.3,38.4,27.2,36.8 \), Compute the mean miles per gallon. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The mean mileage per gallon is 31.83 . (Round to two decimal places as needed.) B. The mean does not exist. A. The median mileage per gallon is 33.50 . (Round to two decimal places as needed.) B. The median does not exist. Compute the mode miles per gallon. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The mode is \( \square \). (Round to two decimal places as needed. Use a comma to separate answers as needed.)

We are given the following miles per gallon values:  39.2, 29.1, 38.3, 38.4, 27.2, 36.8 Step 1. Compute the Mean:  • Add the values:   39.2 + 29.1 = 68.3   68.3 + 38.3 = 106.6   106.6 + 38.4 = 145.0   145.0 + 27.2 = 172.2   172.2 + 36.8 = 209.0  • There are 6 values, so the mean is:   Mean = 209.0 ÷ 6 ≈ 34.83   (Rounded to two decimal places.) Step 2. Compute the Median:  • First, sort the data in increasing order:   27.2, 29.1, 36.8, 38.3, 38.4, 39.2  • With an even number of values (6), the median is the average of the 3rd and 4th values:   Median = (36.8 + 38.3) ÷ 2 = 75.1 ÷ 2 ≈ 37.55   (Rounded to two decimal places.) Step 3. Compute the Mode:  • The mode is the value that appears most frequently.  • Since each value in the data set is unique (each appears only once), there is no mode. Final Answers:  Mean: 34.83 mpg  Median: 37.55 mpg  Mode: Does not exist (no repeated values).