Question

Find and interpret the mean absolute deviation of the data

55, 46, 39, 62, 55, 51, 48, 60, 39, 45

Answer 1

Mean Absolute Deviation is 6.6.

Explanation:

Step 1: Find the mean of this set. First, add up all the data values then you divide them by the amount of date values. In this case, you add all the data values to get 500 and since there are 10 data values do 500/10 to get 50.

Step 2: You have to find the difference of each data value and the mean. Then find the absolute value of the result. For example, 46-50=-4 and the absolute value of this is 4.
Step 3: Add up all the absolute values of the differences. In this case, you add all them up to get 66.
Step 4: Just divide the total by the amount of data values. This would just be 66/10. You get 6.6 and that's your answer. Hope this helped! :)