Which of the following statements about the mean absolute deviation (MAD)is most accurate? MAD:
A)is the square root of the standard deviation.
B)can be a positive number or a negative number.
C)is denominated in the same units as the original data.
D)is the arithmetic mean of the squared deviations from the mean.

Question

Quizplus · Accepted Answer

The mean absolute deviation (MAD) is calculated by taking the absolute value of the difference between each data point and the mean, adding up all these absolute differences, and dividing by the number of data points. Therefore, MAD is always a positive value and is denominated in the same units as the original data.

Option A is incorrect because the square root of the variance is the standard deviation, not the MAD.

Option B is incorrect because MAD is always a positive value.

Option D is incorrect because the arithmetic mean of squared deviations from the mean is called the variance, not the MAD.

Which of the Following Statements About the Mean Absolute Deviation