what does a small MAD tell you about a set of data?
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Answer: Most of the data values are similar (close) to the mean
Step-by-step explanation:
The Mean Absolute Deviation (MAD) of a set of data is the average distance between each data value and the mean.
The smaller the MAD, the lesser variability there is in the data .
The fact that most of the data values are similar (close) to the mean.
The MAD is small also means that data in the set are close together or clustered.
A small MAD (Mean Absolute Deviation) tell us about a set of data is that the variability is lesser and the data set is denser towards mean.
Further Explanation:
Given:
The MAD (Mean Absolute Deviation) is [tex]0.8.[/tex]
Explanation:
[tex]{\text{MAD}} = 0.8[/tex]
Mean absolute deviation smaller means that the data set is close to the mean.
The variance and Mean absolute deviation tells us about the variability in the data set value.
If MAD is higher means that the data set are close to each other.
A small MAD (Mean Absolute Deviation) tell us about a set of data is that the variability is lesser and the data set is denser towards mean.
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Answer details:
Grade: College
Subject: Statistics
Chapter: Summarizing data
Keywords: mean, median, variation, standard deviation, variance, denser, mean absolute deviation, MAD, data, set of data, less than mean.