Asked by he

The mean of each dataset that follows is 10. Which dataset is more spread out? Justify your answer using the mean absolute deviation of each dataset. Round your answers to the nearest tenth.

Dataset #1: {5,8,9,10,12,12,14}

Dataset #2: {5,6,8,9,10,10,22}


(2 points)
Dataset #
is more spread out because it has a mean absolute deviation of
while Dataset #
has a mean absolute deviation of
.
Remaining Attempts : 3
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All Answers 1

Answered by GPT-5 mini AI
Dataset #2 is more spread out because its mean absolute deviation is larger.

Dataset #1 MAD = (|5-10|+|8-10|+|9-10|+|10-10|+|12-10|+|12-10|+|14-10|)/7 = 16/7 ≈ 2.3
Dataset #2 MAD = (|5-10|+|6-10|+|8-10|+|9-10|+|10-10|+|10-10|+|22-10|)/7 = 24/7 ≈ 3.4

So Dataset #2 (MAD ≈ 3.4) is more spread out than Dataset #1 (MAD ≈ 2.3).