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Below are the distances that each of Davi the Dragon Keeper's four dragons can blow fire (in meters). A rectangle made up by four identical rectangles. They make up 44 columns and 11 row. The row values are as follows: 910\frac{9}{10}, 12\frac{1}{2}, 310\frac{3}{10}, 11 and 110\frac{1}{10}. A rectangle made up by four identical rectangles. They make up 44 columns and 11 row. The row values are as follows: 910\frac{9}{10}, 12\frac{1}{2}, 310\frac{3}{10}, 11 and 110\frac{1}{10}. Find the mean absolute deviation (MAD) of the data set.

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Q. Below are the distances that each of Davi the Dragon Keeper's four dragons can blow fire (in meters). A rectangle made up by four identical rectangles. They make up 44 columns and 11 row. The row values are as follows: 910\frac{9}{10}, 12\frac{1}{2}, 310\frac{3}{10}, 11 and 110\frac{1}{10}. A rectangle made up by four identical rectangles. They make up 44 columns and 11 row. The row values are as follows: 910\frac{9}{10}, 12\frac{1}{2}, 310\frac{3}{10}, 11 and 110\frac{1}{10}. Find the mean absolute deviation (MAD) of the data set.
  1. Convert to common unit: Convert all distances to a common unit (meters) and list them:\newline- 99 tenths = 0.90.9 meters\newline- 11 half = 0.50.5 meters\newline- 33 tenths = 0.30.3 meters\newline- 11 and 11 tenth = 1.11.1 meters
  2. Calculate mean: Calculate the mean (average) of these distances:\newlineMean = (0.9+0.5+0.3+1.1)/4(0.9 + 0.5 + 0.3 + 1.1) / 4\newlineMean = 2.8/42.8 / 4\newlineMean = 0.70.7 meters
  3. Calculate absolute deviations: Calculate the absolute deviations from the mean for each distance:\newline- 0.90.7=0.2|0.9 - 0.7| = 0.2\newline- 0.50.7=0.2|0.5 - 0.7| = 0.2\newline- 0.30.7=0.4|0.3 - 0.7| = 0.4\newline- 1.10.7=0.4|1.1 - 0.7| = 0.4
  4. Calculate mean of deviations: Calculate the mean of these absolute deviations:\newlineMAD = (0.2+0.2+0.4+0.4)/4(0.2 + 0.2 + 0.4 + 0.4) / 4\newlineMAD = 1.2/41.2 / 4\newlineMAD = 0.30.3 meters

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