1. For the observations
6, 3, 2, 7, 6, 5, 8, 9, 8, 11
verify that the sample variance and Winsorized variance are 7.4 and 1.8, respectively.
2. For the data in given Exercise, verify that the sample variance is 5584.9 and the Winsorized sample variance is 1375.6.
Exercise
A class of fourth-graders was asked to bring a pumpkin to school. Each of the 29 students counted the number of seeds in his or her pumpkin and the results were
250, 220, 281, 247, 230, 209, 240, 160, 370, 274, 210, 204, 243, 251, 190, 200, 130, 150, 177, 475, 221, 350, 224, 163, 272, 236, 200, 171, 98.
(These data were supplied by Mrs. Capps at the La Cañada Elementary School, La Cañada, CA.)
Verify that the sample mean, trimmed mean, and median are X‾= 229.2, X‾t = 220.8, and M = 221.