In the data set below, what is the mean absolute deviation?60897645213283If the answer is a decimal, round it to the nearest tenth.mean absolute deviation (MAD): Submit
Question
In the data set below, what is the mean absolute deviation?60897645213283If the answer is a decimal, round it to the nearest tenth.mean absolute deviation (MAD): Submit
Solution
To calculate the Mean Absolute Deviation (MAD), follow these steps:
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Find the mean (average) of the data set. Add all the numbers together and divide by the count of numbers. In this case, the numbers are 6, 0, 8, 9, 7, 6, 4, 5, 2, 1, 3, 2, 8, 3. The sum of these numbers is 64 and there are 14 numbers, so the mean is 64/14 = 4.57 (rounded to the nearest tenth).
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Subtract the mean from each number in the data set and take the absolute value of each result. This gives you the deviations from the mean. For example, the first number is 6, so the deviation is |6 - 4.57| = 1.43 (rounded to the nearest tenth). Do this for each number in the data set.
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Find the mean of these deviations. Add all the deviations together and divide by the count of numbers. This is the Mean Absolute Deviation (MAD).
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If the result is a decimal, round it to the nearest tenth as per the instructions.
Please note that the exact result may vary slightly depending on how you round your intermediate results.
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