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Answer :
Explanation:
To find the mean, median, and mode miles per gallon from the given data, we'll follow these steps:
Mean: Add up all the values and divide by the total number of values.
Median: Arrange the values in ascending order and find the middle value. If there is an even number of values, calculate the average of the two middle values.
Mode: Determine which value appears most frequently in the dataset.
Given the data: 34.3, 39.3, 28.8, 27.4, 29.1, 32.4
Mean:
Mean
=
34.3
+
39.3
+
28.8
+
27.4
+
29.1
+
32.4
6
Mean=
6
34.3+39.3+28.8+27.4+29.1+32.4
Mean
=
191.3
6
Mean=
6
191.3
Mean
=
31.8833
Mean=31.8833
Median:
Arrange the data in ascending order: 27.4, 28.8, 29.1, 32.4, 34.3, 39.3
Since there are 6 values, the median is the average of the 3rd and 4th values:
Median
=
29.1
+
32.4
2
Median=
2
29.1+32.4
Median
=
61.5
2
Median=
2
61.5
Median
=
30.75
Median=30.75
Mode:
In this dataset, there is no value that appears more than once, so there is no mode.
Therefore, the mean miles per gallon is approximately 31.88, the median is 30.75, and there is no mode.
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