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In the data set below, what is the mean absolute deviation? \newline6,1,9,6,1,46, 1, 9, 6, 1, 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? \newline6,1,9,6,1,46, 1, 9, 6, 1, 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: 6,1,9,6,1,46, 1, 9, 6, 1, 4\newlineMean = (6+1+9+6+1+4)/6=27/6=4.5(6 + 1 + 9 + 6 + 1 + 4) / 6 = 27 / 6 = 4.5
  2. Find Absolute Deviations: Find the absolute deviations from the mean. ∣6−4.5∣=1.5|6 - 4.5| = 1.5, ∣1−4.5∣=3.5|1 - 4.5| = 3.5, ∣9−4.5∣=4.5|9 - 4.5| = 4.5, ∣6−4.5∣=1.5|6 - 4.5| = 1.5, ∣1−4.5∣=3.5|1 - 4.5| = 3.5, ∣4−4.5∣=0.5|4 - 4.5| = 0.5
  3. Calculate Mean Absolute Deviation: Calculate the mean of these absolute deviations.\newlineMean absolute deviation = (1.5+3.5+4.5+1.5+3.5+0.5)/6=15/6=2.5(1.5 + 3.5 + 4.5 + 1.5 + 3.5 + 0.5) / 6 = 15 / 6 = 2.5

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