The Mean Absolute Deviation (MAD) is a measure of how much a data set varies.
Example:
In the data set below, what is the mean absolute deviation?
1, 6, 8, 5, 5, 1, 2
Step 1: Compute the mean,x̅ .
First add all of the numbers in the data set together. Then divide by the total number of values in the data set.
The mean x̅ , is 4
Step 2: Take each number in the data set, subtract the mean
Step 3: Find the absolute value of each number. (Positive Value)
Step 4: Find the mean,x̅, of the new values.
First, add the numbers. Then, divide by the number of values.
The mean absolute deviation, MAD is 2.29.
Mean Absolute Deviation
Question 1
1.
Find the mean absolute deviation of
10, 7, 13, 10, 8
Question 2
2.
Find the mean absolute deviation of
110, 114, 104, 108, 106
Question 3
3.
Find the mean absolute deviation of
87, 75, 85, 77, 74, 82, 90, 88, 79, 81
Question 4
4.
Find the mean absolute deviation of
15, 17, 15, 17, 21, 17, 15, 23, 20, 18
Question 5
5.
Find the mean absolute deviation for the set below.
S= {85, 90, 68, 75, 79}
Question 6
6.
Sherrie just registered for her wedding. So far 6 items have been fulfilled on her registry. Find the mean price of the fulfilled items. $29, $58, $15, $129, $75, $22
Question 7
7.
Find the mean absolute deviation of the fulfilled items on Sherrie's registry. $29, $58, $15, $129, $75, $22
Question 8
8.
Find the mean absolute deviation for the set below.