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In the data set below, what is the mean absolute deviation? \newline7,3,7,9,4,4,17, 3, 7, 9, 4, 4, 1 \newlineIf the answer is a decimal, round it to the nearest tenth. \newlinemean absolute deviation (MAD): __\_\_

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Q. In the data set below, what is the mean absolute deviation? \newline7,3,7,9,4,4,17, 3, 7, 9, 4, 4, 1 \newlineIf the answer is a decimal, round it to the nearest tenth. \newlinemean absolute deviation (MAD): __\_\_
  1. Calculate Mean: Calculate the mean of the data set.\newlineData set: 7,3,7,9,4,4,17, 3, 7, 9, 4, 4, 1\newlineMean = (7+3+7+9+4+4+1)/7=35/7=5(7 + 3 + 7 + 9 + 4 + 4 + 1) / 7 = 35 / 7 = 5
  2. Find Deviations: Find the absolute deviations from the mean.\newlineAbsolute deviations: ∣7−5∣,∣3−5∣,∣7−5∣,∣9−5∣,∣4−5∣,∣4−5∣,∣1−5∣|7 - 5|, |3 - 5|, |7 - 5|, |9 - 5|, |4 - 5|, |4 - 5|, |1 - 5|\newlineCalculations: 2,2,2,4,1,1,42, 2, 2, 4, 1, 1, 4
  3. Calculate Mean Deviations: Calculate the mean of these absolute deviations.\newlineMean absolute deviation = (2+2+2+4+1+1+4)/7=16/7≈2.3(2 + 2 + 2 + 4 + 1 + 1 + 4) / 7 = 16 / 7 \approx 2.3 when rounded to the nearest tenth.

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