Mean Absolute Deviation

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Mean Absolute Deviation MCC7.SP.1 & 3 How do we figure the MAD and what inferences about the data set can I make from it?

Measures of Spread or Variability Statistics used to measure the distribution of the data in a set. Measures of Variation – lower quartile, upper quartile, range, and interquartile range, *mean absolute deviation (MAD).

Mean Absolute Deviation The average of the absolute values of the differences between each data value in a data set and the set’s mean. *In other words, it is the average distance that each value is away from the mean.

Interpreting the spread/variation When a measure of spread is high, then this means the data is “spread out” or not consistent (less predictable). When a measure of spread is low, then this means that the data is not “spread out” or it is consistent (more predictable).

Interpreting MAD If a data set has a small mean absolute deviation, then this means that the data values are relatively close to the mean. Would this make the data consistent (more predictable) or not consistent (less predictable)? Choose one.

Steps for MAD Find the mean (average of the numbers – add all of the numbers and divide by the number of data values you had). Subtract each data value from the mean. Take the absolute value of each value from step #2. Add up all values from step #3. Divide by the number of data values.