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In the data set below, what is the mean absolute deviation?\newline8,8,9,4,6,78, 8, 9, 4, 6, 7\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?\newline8,8,9,4,6,78, 8, 9, 4, 6, 7\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 8,8,9,4,6,78, 8, 9, 4, 6, 7.\newlineSum of the data points: 8+8+9+4+6+7=428 + 8 + 9 + 4 + 6 + 7 = 42.\newlineNumber of data points: 66.\newlineMean: 42/6=742 / 6 = 7.
  2. Find Deviations: Find the absolute deviations from the mean for each data point.\newlineAbsolute deviation for 88 = 87|8 - 7| = 11.\newlineAbsolute deviation for 88 = 87|8 - 7| = 11.\newlineAbsolute deviation for 99 = 97|9 - 7| = 22.\newlineAbsolute deviation for 44 = 87|8 - 7|00 = 87|8 - 7|11.\newlineAbsolute deviation for 87|8 - 7|22 = 87|8 - 7|33 = 11.\newlineAbsolute deviation for 87|8 - 7|55 = 87|8 - 7|66 = 87|8 - 7|77.
  3. Calculate Mean Deviations: Calculate the mean of the absolute deviations.\newlineSum of absolute deviations: 1+1+2+3+1+0=81 + 1 + 2 + 3 + 1 + 0 = 8.\newlineMean absolute deviation: 86=1.333\frac{8}{6} = 1.333\ldots.
  4. Round Mean Deviation: Round the mean absolute deviation to the nearest tenth. \newline1.3331.333\ldots rounded to the nearest tenth is 1.31.3.

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