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  1. If the mean absolute deviation is a really
    large number, then what does that mean about
    the data set?

Ask by Ray Olson. in the United States
Mar 31,2025

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A large mean absolute deviation means the data points are widely spread out from the average.

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A really large mean absolute deviation (MAD) indicates that the values in the data set are widely spread out from the mean. This suggests high variability, meaning there are significant differences between the data points and the average. Essentially, the numbers don’t cluster closely to the mean, signaling a more diverse or inconsistent set of observations.
You could think of it like a family reunion where everyone shows up with distinctly different, flashy outfits. If they all wore matching shirts, the “outfit deviation” would be small! In contrast, those unique styles symbolize the large MAD, highlighting the colorful variety of characteristics in your data.

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