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In the data set below, what is the mean absolute deviation? \newline5,6,8,2,9,4,15, 6, 8, 2, 9, 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? \newline5,6,8,2,9,4,15, 6, 8, 2, 9, 4, 1 \newlineIf the answer is a decimal, round it to the nearest tenth. \newlinemean absolute deviation (MAD): __\_\_
  1. Arrange Data in Ascending Order: Arrange the data set in ascending order.\newlineData set in ascending order: 1,2,4,5,6,8,91, 2, 4, 5, 6, 8, 9.
  2. Calculate Mean: Calculate the mean of the data set.\newlineMean = (1+2+4+5+6+8+9)/7=35/7=5(1 + 2 + 4 + 5 + 6 + 8 + 9) / 7 = 35 / 7 = 5.
  3. Calculate Absolute Deviations: Calculate the absolute deviations from the mean.\newlineAbsolute deviations: ∣1−5∣=4|1-5|=4, ∣2−5∣=3|2-5|=3, ∣4−5∣=1|4-5|=1, ∣5−5∣=0|5-5|=0, ∣6−5∣=1|6-5|=1, ∣8−5∣=3|8-5|=3, ∣9−5∣=4|9-5|=4.
  4. Calculate Mean Absolute Deviation: Calculate the mean of these absolute deviations.\newlineMean absolute deviation = (4+3+1+0+1+3+4)/7=16/7≈2.3(4 + 3 + 1 + 0 + 1 + 3 + 4) / 7 = 16 / 7 \approx 2.3 when rounded to the nearest tenth.

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