To find the mean absolute deviation, you need to first find the mean of the data set.
1. Add up all the numbers:
59 + 71 + 68 + 75 + 67 = 340
2. Divide by the total number of values:
340 ÷ 5 = 68
The mean of the data set is 68 inches.
Next, find the absolute deviation for each value by subtracting the mean from each individual value:
|59 - 68| = 9
|71 - 68| = 3
|68 - 68| = 0
|75 - 68| = 7
|67 - 68| = 1
Then, find the mean of the absolute deviations by adding them up and dividing by the number of values:
(9 + 3 + 0 + 7 + 1) ÷ 5 = 20 ÷ 5 = 4
Therefore, the mean absolute deviation for this set of data is 4 inches.
The table shows the heights of 5 students in inches.What is the mean absolute deviation for these numbers? show your steps.
59, 71, 68, 75, 67
1 answer