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In the data set below, what is the mean absolute deviation? \newline3,4,3,6,8,5,63, 4, 3, 6, 8, 5, 6 \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? \newline3,4,3,6,8,5,63, 4, 3, 6, 8, 5, 6 \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: 3,4,3,6,8,5,63, 4, 3, 6, 8, 5, 6\newlineMean = (3+4+3+6+8+5+6)/7=35/7=5(3 + 4 + 3 + 6 + 8 + 5 + 6) / 7 = 35 / 7 = 5
  2. Find Deviations: Find the absolute deviations from the mean. ∣3−5∣=2|3 - 5| = 2, ∣4−5∣=1|4 - 5| = 1, ∣3−5∣=2|3 - 5| = 2, ∣6−5∣=1|6 - 5| = 1, ∣8−5∣=3|8 - 5| = 3, ∣5−5∣=0|5 - 5| = 0, ∣6−5∣=1|6 - 5| = 1
  3. Calculate Mean Deviations: Calculate the mean of these absolute deviations.\newlineMean absolute deviation = (2+1+2+1+3+0+1)/7=10/7≈1.4(2 + 1 + 2 + 1 + 3 + 0 + 1) / 7 = 10 / 7 \approx 1.4 when rounded to the nearest tenth.

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