Enter a list of numbers to calculate the Mean Absolute Deviation and view it on the plot.
Mean:
Mean Absolute Deviation (MAD):
Understanding Mean Absolute Deviation (MAD)
The Mean Absolute Deviation (MAD) is a measure of the average distance between each data point and the mean of the data set.
Formula for Mean Absolute Deviation
The formula for calculating MAD is:
\[ \text{MAD} = \frac{1}{n} \sum_{i=1}^{n} |x_i - \mu| \]
where \( x_i \) represents each data point, \( \mu \) is the mean of the data, and \( n \) is the number of data points.
Interpretation
MAD provides a way to measure variability in a data set, indicating how much the data values differ from the mean. A higher MAD value signifies more variability.