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In the data set below, what is the mean absolute deviation? \newline1,2,9,6,7,7,31, 2, 9, 6, 7, 7, 3 \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? \newline1,2,9,6,7,7,31, 2, 9, 6, 7, 7, 3 \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: 1,2,9,6,7,7,31, 2, 9, 6, 7, 7, 3.\newlineMean = (1+2+9+6+7+7+3)/7=35/7=5(1 + 2 + 9 + 6 + 7 + 7 + 3) / 7 = 35 / 7 = 5.
  2. Find Deviations: Find the absolute deviations from the mean.\newlineAbsolute deviations: ∣1−5∣=4|1-5| = 4, ∣2−5∣=3|2-5| = 3, ∣9−5∣=4|9-5| = 4, ∣6−5∣=1|6-5| = 1, ∣7−5∣=2|7-5| = 2, ∣7−5∣=2|7-5| = 2, ∣3−5∣=2|3-5| = 2.
  3. Calculate Mean Deviations: Calculate the mean of these absolute deviations.\newlineMean absolute deviation = (4+3+4+1+2+2+2)/7=18/7≈2.6(4 + 3 + 4 + 1 + 2 + 2 + 2) / 7 = 18 / 7 \approx 2.6 when rounded to the nearest tenth.

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