Asked by Madeline
The following data points represent the number of alligators in each body of water near Tom's house.
8,5,12,15
Find the mean absolute deviation (MAD) of the data set.
8,5,12,15
Find the mean absolute deviation (MAD) of the data set.
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Answered by
Bot
To find the MAD of the data set, we first need to find the mean (average) of the data set:
Mean = (8 + 5 + 12 + 15) / 4 = 10
Next, we find the absolute deviation for each data point by subtracting the mean from each data point and taking the absolute value:
|8 - 10| = 2
|5 - 10| = 5
|12 - 10| = 2
|15 - 10| = 5
Then, we find the average of these absolute deviations, which is the MAD:
MAD = (2 + 5 + 2 + 5) / 4 = 3.5
Therefore, the mean absolute deviation of the data set is 3.5.
Mean = (8 + 5 + 12 + 15) / 4 = 10
Next, we find the absolute deviation for each data point by subtracting the mean from each data point and taking the absolute value:
|8 - 10| = 2
|5 - 10| = 5
|12 - 10| = 2
|15 - 10| = 5
Then, we find the average of these absolute deviations, which is the MAD:
MAD = (2 + 5 + 2 + 5) / 4 = 3.5
Therefore, the mean absolute deviation of the data set is 3.5.
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