find the mean absolute deviation
1,3,5,14,17
To find the mean absolute deviation, you need to calculate the average deviation from the mean of the given data set.
Step 1: Find the mean (average) of the data set.
Add up all the numbers and divide the sum by the total count.
Mean = (1 + 3 + 5 + 14 + 17) / 5 = 40 / 5 = 8
Step 2: Find the absolute deviation for each number.
Subtract the mean from each number and take the absolute value of the result.
For the numbers in the given data set:
|1 - 8| = 7
|3 - 8| = 5
|5 - 8| = 3
|14 - 8| = 6
|17 - 8| = 9
Step 3: Find the average of the absolute deviations.
Add up the absolute deviations and divide the sum by the total count.
Mean Absolute Deviation = (7 + 5 + 3 + 6 + 9) / 5 = 30 / 5 = <<30/5=6>>6
Therefore, the mean absolute deviation of the given data set is 6.