Question

32, 43, 38, 28, 54 what is the mean absolute deviation of the numbers in the list

Answer 1

To calculate the mean absolute deviation (MAD) of the numbers 32, 43, 38, 28, 54, we first determine the mean, then find the absolute deviations from the mean, sum those, and divide by the number of values, resulting in a MAD of 7.6.

Step-by-step explanation:

The mean absolute deviation (MAD) of a set of numbers is the average distance between each number in the set and the mean of the set. To calculate the MAD of the numbers 32, 43, 38, 28, 54, we first need to find the mean of these numbers.

1. Add all the numbers: 32 + 43 + 38 + 28 + 54 = 195.
2. Divide by the number of values: 195 / 5 = 39 (the mean).
3. Find the absolute deviations from the mean: |32 - 39| = 7, |43 - 39| = 4, |38 - 39| = 1, |28 - 39| = 11, |54 - 39| = 15.
4. Add these absolute deviations: 7 + 4 + 1 + 11 + 15 = 38.
5. Divide by the number of values to get MAD: 38 / 5 = 7.6.

Therefore, the mean absolute deviation of the list is 7.6.