The following data represent the miles per gallon for a particular make and model car for alx randomly selected vehicles. Compute the mean, median, and mode miles per gallon. \[ 30.2,20.1,38.3,38.4,27.2,36.8 \] Compute the mean miles per gallon. Select the correct choice below and, if necessary, fill in the answer bex to complete your choice, A. The mean mileage per gallon is \( \square \) . (Round to two decimal places as needed.) B. The mean does not exist. Compute the median miles per gallon. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The median mileage per gallon is \( \square \) . (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 answir 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.) B. The mode does not exist. schow that

We are given the data set of miles per gallon (mpg):   30.2, 20.1, 38.3, 38.4, 27.2, 36.8 Step 1. Compute the Mean:  • Add all the values:   30.2 + 20.1 = 50.3   50.3 + 38.3 = 88.6   88.6 + 38.4 = 127.0   127.0 + 27.2 = 154.2   154.2 + 36.8 = 191.0  • There are 6 values, so the mean is:   Mean = 191.0 / 6 ≈ 31.83  • Rounded to two decimal places, we have:   Answer Choice for the Mean:   A. The mean mileage per gallon is 31.83. Step 2. Compute the Median:  • First, sort the data in increasing order:   20.1, 27.2, 30.2, 36.8, 38.3, 38.4  • With an even number (6) of values, the median is the average of the 3rd and 4th values.   Third value: 30.2   Fourth value: 36.8   Median = (30.2 + 36.8) / 2 = 67.0 / 2 = 33.5  • Rounded to two decimal places:   Answer Choice for the Median:   A. The median mileage per gallon is 33.50. Step 3. Compute the Mode:  • The mode is the value that occurs most frequently.  • In this data set, every value occurs exactly once.   Answer Choice for the Mode:   B. The mode does not exist. Summary Answers:  • Mean: 31.83  • Median: 33.50  • Mode: Does not exist.