What is the MAD of 3,2,1,0,0.5,1,2,3
What is MAD?
MAD is the mean
Add them up and divide by 8 to find the mean.
To calculate the Mean Absolute Deviation (MAD), follow these steps:
Step 1: Find the mean (average) of the given set of numbers.
Add all the numbers together and divide by the total count of numbers in the set.
For this data set (3, 2, 1, 0, 0.5, 1, 2, 3):
Mean = (3 + 2 + 1 + 0 + 0.5 + 1 + 2 + 3) / 8 = 13.5 / 8 = 1.6875
Step 2: Calculate the absolute deviation for each number from the mean.
To find the absolute deviation for each number, subtract the mean calculated in step 1 from each number and take the absolute value.
Absolute deviation = |Number - Mean|
For example:
|3 - 1.6875| = 1.3125
|2 - 1.6875| = 0.3125
|1 - 1.6875| = 0.6875
|0 - 1.6875| = 1.6875
|0.5 - 1.6875| = 1.1875
|1 - 1.6875| = 0.6875
|2 - 1.6875| = 0.3125
|3 - 1.6875| = 1.3125
Step 3: Find the average of the absolute deviations.
Add up all the absolute deviations and divide by the total count of numbers in the set.
Average absolute deviation (MAD) = (1.3125 + 0.3125 + 0.6875 + 1.6875 + 1.1875 + 0.6875 + 0.3125 + 1.3125) / 8
MAD = 7.3125 / 8 = 0.9140625
Therefore, the Mean Absolute Deviation (MAD) from the given data set is approximately 0.9140625.