Mean Absolute Deviation (M.A.D)

Front

What is Mean Absolute Deviation (M.A.D)?

Back

Mean Absolute Deviation (M.A.D) is a measure of the dispersion or spread of a set of data points. It is calculated by taking the average of the absolute differences between each data point and the mean of the data set.

Front

How do you calculate the Mean of a data set?

Back

To calculate the Mean, add all the numbers in the data set together and then divide by the total number of values.

Front

What is the formula for calculating M.A.D?

Back

M.A.D = (Σ |x_i - mean|) / n, where x_i represents each data point, mean is the average of the data set, and n is the number of data points.

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What does the absolute value represent in M.A.D calculation?

Back

The absolute value ensures that all differences are positive, allowing us to measure the distance from the mean without regard to direction.

Front

If the data set is 4, 32, 33, 45, 67, what is the M.A.D?

Back

15.84

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For the data set 44, 46, 47, 50, and 45, what is the M.A.D to the nearest tenth?

Back

1.7

Front

Given the numbers 0, 0, 5, 6, 9, and 2, what are the Mean and M.A.D?

Back

Mean: 3.66, M.A.D: 3

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What is the M.A.D of the numbers 14.2, 1.2, 3.5, 7.8, 3.14 to the nearest tenth?

Back

4.0

Front

What is the first step in calculating M.A.D?

Back

Calculate the Mean of the data set.

Front

What is the significance of M.A.D in statistics?

Back

M.A.D provides insight into the variability of the data set, helping to understand how spread out the values are around the mean.