Find the MAD of the dataset 10, 7, 13, 10, and 8. Round your answer to two decimal places

3 answers

To find the Mean Absolute Deviation (MAD), we first need to find the mean of the dataset:

Mean = (10 + 7 + 13 + 10 + 8) / 5
Mean = 48 / 5
Mean = 9.6

Next, we calculate the deviation of each data point from the mean:
|10 - 9.6| = 0.4
|7 - 9.6| = 2.6
|13 - 9.6| = 3.4
|10 - 9.6| = 0.4
|8 - 9.6| = 1.6

Now, we find the average of these deviations:
MAD = (0.4 + 2.6 + 3.4 + 0.4 + 1.6) / 5
MAD = 8.4 / 5
MAD = 1.68

Therefore, the Mean Absolute Deviation (MAD) of the dataset 10, 7, 13, 10, and 8 is 1.68.
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