Mean Absolute Deviation

Front

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

Back

The average distance between the data values and the mean.

Front

How do you calculate the Mean Absolute Deviation?

Back

1. Find the mean of the data set. 2. Calculate the distance of each data point from the mean. 3. Take the absolute value of each distance. 4. Find the average of these absolute values.

Front

Which M.A.D. indicates more variability: 0.5, 1, 1.5, or 2?

Back

2

Front

What does a lower M.A.D. indicate about a data set?

Back

It indicates that the data points are closer to the mean, showing less variability.

Front

What does a higher M.A.D. indicate about a data set?

Back

It indicates that the data points are more spread out from the mean, showing more variability.

Front

In calculating M.A.D., after finding the mean, what is the next step?

Back

Find out the distance each number is from the mean.

Front

If the mean of a data set is 10, what is the absolute distance of the number 6 from the mean?

Back

4 (|6 - 10| = 4).

Front

If the data set is 5, 11, 2, 7, 16 and the mean is 8.2, what is the M.A.D.?

Back

4.2

Front

What is the purpose of calculating Mean Absolute Deviation?

Back

To measure the variability or spread of a data set.

Front

What is the difference between Mean Absolute Deviation and standard deviation?

Back

M.A.D. measures average distance from the mean, while standard deviation measures how much data varies from the mean, considering the square of the distances.