If a data set is: 18, 9, 14, 10, 15....
What would be the mean absolute deviation? What I got was 13.2, but it seems incorrect. Please help!
To calculate the mean absolute deviation (MAD) for a given data set, you need to follow these steps:
1. Find the mean (the average) of the data set. In this case:
Mean = (18 + 9 + 14 + 10 + 15) / 5 = 66 / 5 = 13.2
2. Find the absolute difference between each data point and the mean. For example:
|18 - 13.2| = 4.8
|9 - 13.2| = 4.2
|14 - 13.2| = 0.8
|10 - 13.2| = 3.2
|15 - 13.2| = 1.8
3. Find the mean of these absolute differences. In this case:
MAD = (4.8 + 4.2 + 0.8 + 3.2 + 1.8) / 5 = 14 / 5 = 2.8
Therefore, the mean absolute deviation for the given data set is 2.8, not 13.2. It seems there was an error in your calculation.