Answer :
The mean is approximately 31.6, the median is 32, and there is no mode for the provided data set.
To compute the mean, median, and mode of the miles per gallon for the provided data set, we will follow these steps:
1. Arrange the data in ascending order:
23.8, 28.5, 31.5, 32.5, 36.9, 38.2
2. Calculate the mean:
Mean = (sum of all values) / (total number of values)
Mean = (23.8 + 28.5 + 31.5 + 32.5 + 36.9 + 38.2) / 6
Mean ≈ 31.6
3. Calculate the median:
If the number of data points is odd, the median is the middle value.If the number of data points is even, the median is the average of the two middle values.
Since we have 6 data points, the median is the average of the two middle values:
Median = (31.5 + 32.5) / 2
Median = 31.5 + 32.5 / 2
Median = 32
4. Calculate the mode:
The mode is the value that appears most frequently in the data set.
In this case, none of the values repeat, so there is no mode.
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