55, 60, 70, 70, 75, 75, 75, 80, 80, 85, 85, 85, 85, 90, 90, 95, 100 Find the MAD.
wrong.
I apologize for the error in my previous calculation. Let's correct it:
The mean of the data set is:
(55 + 60 + 70 + 70 + 75 + 75 + 75 + 80 + 80 + 85 + 85 + 85 + 85 + 90 + 90 + 95 + 100) / 17 = 80
Next, we find the absolute deviation of each data point from the mean:
|55-80| = 25
|60-80| = 20
|70-80| = 10
|70-80| = 10
|75-80| = 5
|75-80| = 5
|75-80| = 5
|80-80| = 0
|80-80| = 0
|85-80| = 5
|85-80| = 5
|85-80| = 5
|85-80| = 5
|90-80| = 10
|90-80| = 10
|95-80| = 15
|100-80| = 20
Now, we find the average of these absolute deviations:
(25 + 20 + 10 + 10 + 5 + 5 + 5 + 0 + 0 + 5 + 5 + 5 + 5 + 10 + 10 + 15 + 20) / 17 = 8.82
Therefore, the Mean Absolute Deviation (MAD) of the data set is 8.82.
To find the Mean Absolute Deviation (MAD), we first need to find the mean of the data set:
(55 + 60 + 70 + 70 + 75 + 75 + 75 + 80 + 80 + 85 + 85 + 85 + 85 + 90 + 90 + 95 + 100) / 17 = 80
Next, we find the absolute deviation of each data point from the mean:
|55-80| = 25
|60-80| = 20
|70-80| = 10
|70-80| = 10
|75-80| = 5
|75-80| = 5
|75-80| = 5
|80-80| = 0
|80-80| = 0
|85-80| = 5
|85-80| = 5
|85-80| = 5
|85-80| = 5
|90-80| = 10
|90-80| = 10
|95-80| = 15
|100-80| = 20
Now, we find the average of these absolute deviations:
(25 + 20 + 10 + 10 + 5 + 5 + 5 + 0 + 0 + 5 + 5 + 5 + 5 + 10 + 10 + 15 + 20) / 17 = 8.53
Therefore, the Mean Absolute Deviation (MAD) of the data set is 8.53.