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What is the mean absolute deviation of 2,3,8,8,6,92,3,8,8,6,9

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Q. What is the mean absolute deviation of 2,3,8,8,6,92,3,8,8,6,9
  1. Calculate Mean: Calculate the mean (average) of the data set.\newlineTo find the mean, add all the numbers together and divide by the number of values in the data set.\newlineMean = (2+3+8+8+6+9)/6=36/6=6(2 + 3 + 8 + 8 + 6 + 9) / 6 = 36 / 6 = 6
  2. Find Deviations: Find the absolute deviations from the mean for each data point. This involves subtracting the mean from each data point and taking the absolute value. Absolute deviations: ∣2−6∣,∣3−6∣,∣8−6∣,∣8−6∣,∣6−6∣,∣9−6∣|2 - 6|, |3 - 6|, |8 - 6|, |8 - 6|, |6 - 6|, |9 - 6| These are: 4,3,2,2,0,34, 3, 2, 2, 0, 3
  3. Calculate Mean Deviations: Calculate the mean of these absolute deviations.\newlineAdd all the absolute deviations together and divide by the number of values.\newlineMean absolute deviation = (4+3+2+2+0+3)/6=14/6≈2.3333(4 + 3 + 2 + 2 + 0 + 3) / 6 = 14 / 6 \approx 2.3333

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