1. For the observations
21, 36, 42, 24, 25, 36, 35, 49, 32
verify that the sample mean, trimmed mean, and median are X‾= 33.33, X‾t = 32.9, and M = 35.
2. The largest observation in given Exercise is 49. If 49 is replaced by the value 200, verify that the sample mean is now X‾= 50.1 but the trimmed mean and median are not changed. What does this illustrate about the resistance of the sample mean?
Exercise
For the observations
21, 36, 42, 24, 25, 36, 35, 49, 32
verify that the sample mean, trimmed mean, and median are X‾ = 33.33, X‾t = 32.9, and M = 35.