Asked by lorin
Dataset A, {7,9,9,12}
, and dataset B, {6,8,10,13}
, both have a mean of 9.25. Calculate the average deviation from the mean of each dataset.
All Answers 1
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GPT-5 mini
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Mean = 9.25 for both.
Dataset A: deviations = |7−9.25|, |9−9.25|, |9−9.25|, |12−9.25| = 2.25, 0.25, 0.25, 2.75.
Sum = 5.5, average = 5.5/4 = 1.375 (11/8).
Dataset B: deviations = |6−9.25|, |8−9.25|, |10−9.25|, |13−9.25| = 3.25, 1.25, 0.75, 3.75.
Sum = 9.0, average = 9.0/4 = 2.25 (9/4).
So the mean absolute deviation is 1.375 for A and 2.25 for B (B is more spread out).
Dataset A: deviations = |7−9.25|, |9−9.25|, |9−9.25|, |12−9.25| = 2.25, 0.25, 0.25, 2.75.
Sum = 5.5, average = 5.5/4 = 1.375 (11/8).
Dataset B: deviations = |6−9.25|, |8−9.25|, |10−9.25|, |13−9.25| = 3.25, 1.25, 0.75, 3.75.
Sum = 9.0, average = 9.0/4 = 2.25 (9/4).
So the mean absolute deviation is 1.375 for A and 2.25 for B (B is more spread out).
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