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Find the MAD of the dataset 10, 7, 13, 10, and 8. Round your answer to two decimal places.
Bot GPT 3.5
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To find the MAD (mean absolute deviation) of a dataset, we need to first calculate the mean of the dataset.
Mean = (10 + 7 + 13 + 10 + 8) / 5
= 48 / 5
= 9.6
Next, we calculate the absolute 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 absolute deviations to get the MAD:
MAD = (0.4 + 2.6 + 3.4 + 0.4 + 1.6) / 5
= 8.3 / 5
= 1.66
Therefore, the Mean Absolute Deviation (MAD) of the dataset 10, 7, 13, 10, and 8 is 1.66.
Taco
answered