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Thelma counted the number of apples on each of the apple trees in her backyard. She found 34 apples on her Cortland apple tree, 29 apples on her Red Delicious apple tree, 39 apples on her Empire apple tree, and 34 apples on her Fuji apple tree.
Find the mean absolute deviation (MAD) of the data set.
apples

Thelma counted the number of apples on each of the apple trees in her backyard. She found 3434 apples on her Cortland apple tree, 2929 apples on her Red Delicious apple tree, 3939 apples on her Empire apple tree, and 3434 apples on her Fuji apple tree.\newlineFind the mean absolute deviation (MAD) of the data set.\newlineapples

Full solution

Q. Thelma counted the number of apples on each of the apple trees in her backyard. She found 3434 apples on her Cortland apple tree, 2929 apples on her Red Delicious apple tree, 3939 apples on her Empire apple tree, and 3434 apples on her Fuji apple tree.\newlineFind the mean absolute deviation (MAD) of the data set.\newlineapples
  1. Calculate Mean: Calculate the mean of the data set.\newlineData set: 34,29,39,3434, 29, 39, 34\newlineMean: (34+29+39+34)/4(34 + 29 + 39 + 34) / 4\newlineMean: 136/4136 / 4\newlineMean: 3434
  2. Find Absolute Deviation: Find the absolute deviation for each data point from the mean. Absolute deviation for the first tree: 3434=0|34 - 34| = 0 Absolute deviation for the second tree: 2934=5|29 - 34| = 5 Absolute deviation for the third tree: 3934=5|39 - 34| = 5 Absolute deviation for the fourth tree: 3434=0|34 - 34| = 0
  3. Calculate Mean of Absolute Deviations: Calculate the mean of the absolute deviations.\newlineSum of absolute deviations: 0+5+5+0=100 + 5 + 5 + 0 = 10\newlineMean absolute deviation (MAD): 10/410 / 4\newlineMean absolute deviation (MAD): 2.52.5

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