# How do you find the MAD in math?

#### Understand the Problem

The question is asking how to find the Mean Absolute Deviation (MAD) in mathematics, which involves calculating the average of the absolute differences between each data point and the mean of the dataset.

Calculate the mean, find the absolute differences, and average them.

To find the Mean Absolute Deviation (MAD), you need to perform the following steps: calculate the mean of the dataset, determine the absolute differences from the mean for each data point, and then find the average of these differences.

#### Steps to Solve

1. Calculate the mean of the dataset

Add all the numbers in the dataset together and divide by the number of data points.

[ \text{Mean} = \frac{\sum_{i=1}^{n} x_i}{n} ]

1. Calculate the absolute differences

Subtract the mean from each number to find the difference, and then take the absolute value of each difference.

[ |x_i - \text{Mean}| ]

1. Find the average of the absolute differences

Sum all the absolute differences and divide by the number of data points. This gives you the Mean Absolute Deviation (MAD).

[ \text{MAD} = \frac{\sum_{i=1}^{n} |x_i - \text{Mean}|}{n} ]

To find the Mean Absolute Deviation (MAD), you need to perform the following steps: calculate the mean of the dataset, determine the absolute differences from the mean for each data point, and then find the average of these differences.