The data set below has 7 values. Find the mean absolute deviation for the data set. If necessary, round your answer to the neare
1 answer:
Answer:
2.57
Step-by-step explanation:
The mean absolute deviation is the mean of the absolute values of the differences from the mean.
<h3>Application</h3>The mean of the dataset is the sum of values, divided by their number:
mean = (20 +16 +21 +16 +22 +16 +15)/7 = 126/7 = 18
The absolute values of the differences from 18 will have an average of ...
mean(|differences|) = (2 +2 +3 +2 +4 +2 +3)/7 = 18/7
mad(data) ≈ 2.57
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<em>Additional comment</em>
Some calculators have the mad( ) function built-in. See the second attachment, for example.
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