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In the data set below, what is the mean absolute deviation?
{:[2,3,8,8,6,9]:}
If the answer is a decimal, round it to the nearest tenth.
mean absolute deviation (MAD): ◻

In the data set below, what is the mean absolute deviation?\newline2amp;3amp;8amp;8amp;6amp;9 \begin{array}{llllll}2 & 3 & 8 & 8 & 6 & 9\end{array} \newlineIf the answer is a decimal, round it to the nearest tenth.\newlinemean absolute deviation (MAD): \square

Full solution

Q. In the data set below, what is the mean absolute deviation?\newline238869 \begin{array}{llllll}2 & 3 & 8 & 8 & 6 & 9\end{array} \newlineIf the answer is a decimal, round it to the nearest tenth.\newlinemean absolute deviation (MAD): \square
  1. Calculate Mean: Calculate the mean (average) of the data set 2,3,8,8,6,9{2,3,8,8,6,9}.\newlineTo find the mean, add all the numbers together and then divide by the number of values in the data set.\newlineMean = (2+3+8+8+6+9)/6(2 + 3 + 8 + 8 + 6 + 9) / 6\newlineMean = 36/636 / 6\newlineMean = 66
  2. Absolute Deviations: Calculate the absolute deviations from the mean for each data point. This involves subtracting the mean from each data point and taking the absolute value of the result. Absolute deviations: 26|2 - 6|, 36|3 - 6|, 86|8 - 6|, 86|8 - 6|, 66|6 - 6|, 96|9 - 6| Absolute deviations: 44, 33, 22, 22, 36|3 - 6|00, 33
  3. Mean of Deviations: Calculate the mean of the absolute deviations. Add all the absolute deviations together and then divide by the number of values. Mean absolute deviation (MAD) = (4+3+2+2+0+3)/6(4 + 3 + 2 + 2 + 0 + 3) / 6 Mean absolute deviation (MAD) = 14/614 / 6 Mean absolute deviation (MAD) 2.333...\approx 2.333...
  4. Round MAD: Round the mean absolute deviation to the nearest tenth.\newlineMean absolute deviation (MAD) 2.3\approx 2.3

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