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In the data set below, what is the mean absolute deviation? \newline1,1,4,4,3,4,41, 1, 4, 4, 3, 4, 4 \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? \newline1,1,4,4,3,4,41, 1, 4, 4, 3, 4, 4 \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: 1,1,4,4,3,4,41, 1, 4, 4, 3, 4, 4.\newlineMean = (1+1+4+4+3+4+4)/7=21/7=3(1 + 1 + 4 + 4 + 3 + 4 + 4) / 7 = 21 / 7 = 3.
  2. Find Deviations: Find the absolute deviations from the mean.\newlineAbsolute deviations: ∣1−3∣=2|1 - 3| = 2, ∣1−3∣=2|1 - 3| = 2, ∣4−3∣=1|4 - 3| = 1, ∣4−3∣=1|4 - 3| = 1, ∣3−3∣=0|3 - 3| = 0, ∣4−3∣=1|4 - 3| = 1, ∣4−3∣=1|4 - 3| = 1.
  3. Calculate Mean Deviations: Calculate the mean of these absolute deviations.\newlineMean absolute deviation = (2+2+1+1+0+1+1)/7=8/7≈1.1(2 + 2 + 1 + 1 + 0 + 1 + 1) / 7 = 8 / 7 \approx 1.1 when rounded to the nearest tenth.

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