Using the mean you got in #1, What is the mean absolute deviation of the following data set?

Question

3, 4, 7, 10

Answer 1

To find the mean absolute deviation (MAD), we first need to find the mean.

Add up all the numbers in the data set: 3 + 4 + 7 + 10 = 24.

There are a total of 4 numbers in the set, so the mean is 24 divided by 4, which is 6.

Next, we find the absolute deviation for each number by subtracting the mean from each number in the set—3, 4, 7, and 10.

Absolute deviation of 3: |3 - 6| = 3
Absolute deviation of 4: |4 - 6| = 2
Absolute deviation of 7: |7 - 6| = 1
Absolute deviation of 10: |10 - 6| = 4

Now, we find the mean of these absolute deviations.

Mean of Absolute Deviations (MAD) = (3 + 2 + 1 + 4) / 4 = 10 / 4 = 2.5.

Therefore, the mean absolute deviation (MAD) of the data set is 2.5.