To find the Mean Absolute Deviation (MAD), we follow these steps:
1. Find the mean (average) of the data set.
mean = (55 + 60 + 70 + 70 + 75 + 75 + 75 + 80 + 80 + 85 + 85 + 85 + 85 + 90 + 90 + 95 + 100) / 17
mean ≈ 80
2. Find the absolute deviation of each data point from the mean. Absolute deviation is obtained by finding the difference between each data value and the mean, ignoring the negative symbol.
Absolute deviations 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
3. Calculate the mean of the absolute deviations.
mean of absolute deviations = (25 + 20 + 10 + 10 + 5 + 5 + 5 + 0 + 0 + 5 + 5 + 5 + 5 + 10 + 10 + 15 + 20) / 17
mean of absolute deviations ≈ 8.824
Therefore, the Mean Absolute Deviation (MAD) for Ms. O'Donnell's class science test scores is approximately 8.824.
Here are the science test scores from Ms. O’Donnell’s class:
55, 60, 70, 70, 75, 75, 75, 80, 80, 85, 85, 85, 85, 90, 90, 95, 100
Find the MAD.
1 answer
3 answers