Hi, Srry Im late but heres the answer:
Answer: 11.33 units
The mean absolute deviation (MAD) measures how spread out the values in a data set are on average.
To calculate the MAD, follow these steps: 1. Find the mean (average) of the data set by adding up all the values and dividing the sum by the number of values. In this case, the mean is (32 + 4 + 12 + 40 + 20 + 24) / 6 = 21.33.2.
Subtract the mean from each value in the data set to get the deviations. The deviations for this data set are: (32 - 21.33) = 10.67, (4 - 21.33) = -17.33, (12 - 21.33) = -9.33, (40 - 21.33) = 18.67, (20 - 21.33) = -1.33, and (24 - 21.33) = 2.67.3. Take the absolute value of each deviation by ignoring the negative sign.
The absolute deviations for this data set are: 10.67, 17.33, 9.33, 18.67, 1.33, and 2.67.4. Find the mean of the absolute deviations by adding up all the absolute deviations and dividing the sum by the number of values. In this case, the mean absolute deviation is (10.67 + 17.33 + 9.33 + 18.67 + 1.33 + 2.67) / 6 = 11.33.So, the mean absolute deviation for the data set 32, 4, 12, 40, 20, and 24 is 11.33.
This means that, on average, the values in the data set deviate from the mean by approximately 11.33 units.