How to determine which data set has more variability when centers are identical
In short: When two data sets share a similar center, how do you tell which is more spread out? This lesson explains how to use the Interquartile Range (IQR) and Mean Absolute Deviation (MAD) to measure and compare variability, helping you understand the distribution of data beyond just the average.
Variability measures how much the values in a data set differ from one another. While the measure of center provides a single representative value, it often fails to capture the full picture of a distribution. By calculating the IQR and MAD, you can quantify the spread of data points.
The IQR focuses on the middle 50% of the data, while the MAD looks at the average distance of each data point from the mean. Comparing these metrics allows for a precise evaluation of which data set is more dispersed, even when their centers are nearly identical.
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Sources
- Summary by Intellect · source: Using IQR and MAD to compare variability | Integrated Math 1 (IM® v.360 aligned) | Khan Academy
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