Answer :

The Mean Absolute Deviation (M.A.D) for the dataset 88, 94, 94, 99 is calculated by first determining the mean, then finding the absolute deviations of each data point from the mean, and finally averaging those deviations, resulting in a M.A.D of 2.875.

The M.A.D (Mean Absolute Deviation) is a measure of variability that indicates the average distance between each data point and the mean of the dataset. To calculate the M.A.D for the dataset 88, 94, 94, 99, you first need to find the mean (average) of the numbers:

  1. Add all the numbers together: 88 + 94 + 94 + 99 = 375.
  2. Divide the sum by the number of data points: 375 \/ 4 = 93.75, which is the mean.
  3. Find the absolute deviation of each data point from the mean: abs(88 - 93.75) = 5.75, abs(94 - 93.75) = 0.25, abs(94 - 93.75) = 0.25, and abs(99 - 93.75) = 5.25.
  4. Calculate the average of these absolute deviations: (5.75 + 0.25 + 0.25 + 5.25) \/ 4 = 2.875.

The Mean Absolute Deviation (M.A.D) for this dataset is therefore 2.875.

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