Mean absolute deviation (MAD) of a data set is the average distance between each data value and the mean. Mean absolute deviation is a way to describe variation in a data set.
1 To find the mean absolute deviation of the data, start by finding the mean of the data set.
2 Find the sum of the data values, and divide the sum by the number of data values.
3 Find the absolute value of the difference between each data value and the mean: |data value – mean|.
4 Find the sum of the absolute values of the differences.
5 Divide the sum of the absolute values of the differences by the number of data values.
Hope this helps:)
Answer:
See below.
Step-by-step explanation:
An example will help you understand:
Find the mean absolute deviation of the list of numbers: 3, 5, 7, 11, 12.
First find the mean of the list of numbers = (3+5+7+11+12) / 5 = 38/5 = 7.6.
Now we subtract 7.6 from each of the numbers and Take the Absolute value of the results. This means that if the answer is negative we take the positive value:
3 - 7.6 = -4.6 We take 4.6.
5 - 7.6 = -2.6. We take 2.6.
7 - 7.6 = -0.6, We take 0.6.
11 - 7.6 = 3.4.
12 - 7.6 = 4.4.
Now we add the absolute values and take their mean:
4.6+2.6+0.6+3.4+4.4 = 15.6
Mean Absolute Deviation = 15.6 / 5 = 3.12.
I hope this helps.
