Question

What is the mean absolute deviation of the data set? Round to the nearest hundredth if necessary.

61, 42, 52, 27, 35, 23

Answer 1

Calculating the mean average helps you determine the deviation from the mean by calculating the difference between the mean and each value. Next, divide the sum of all previously calculated values by the number of deviations added together and the result is the average deviation from the mean.

Answer 2

First find median:
61, 42, 52, 27, 35, 23

Step 1: 61 + 42 + 52 + 27 + 35 + 23 = 240
Step 2: Add up amount of numbers: 6
Step 3: Divide total by number amount: 240/6 = 40

Next steps:
2. Find the absolute value of the difference between each data value and the mean: |data value – mean|.
3. Find the sum of the absolute values of the differences.
4. Divide the sum of the absolute values of the differences by the number of data values.