Question

Calculate the Mean Absolute Deviation for the numbers: 37, 19, 24, 73, 72, 51.

a) 27.67
b) 15.67
c) 16.67
d) 13.67

Answer 1

To calculate the Mean Absolute Deviation for the given numbers, find the mean and then find the absolute deviation of each number from the mean. Finally, divide the sum of the absolute deviations by the total count.

Step-by-step explanation:

To calculate the Mean Absolute Deviation (MAD) for the given numbers: 37, 19, 24, 73, 72, 51, follow these steps:

1. Find the mean (average) of the numbers by adding them up and dividing by the total count. The mean in this case is (37 + 19 + 24 + 73 + 72 + 51) / 6 = 276 / 6 = 46.
2. Find the absolute deviation of each number by subtracting the mean from each number. The absolute deviations for the given numbers are: 37 - 46 = 9, 19 - 46 = 27, 24 - 46 = 22, 73 - 46 = 27, 72 - 46 = 26, 51 - 46 = 5.
3. Add up all the absolute deviations and divide by the total count. The sum of the absolute deviations is 9 + 27 + 22 + 27 + 26 + 5 = 116. Dividing by 6, we get a mean absolute deviation of 116 / 6 = 19.33 (rounded to two decimal places).