Chapter 3.1, Problem 37BB

Trimmed Mean Because the mean is very sensitive to extreme values, we say that it is not a resistant measure of center. By deleting some low values and high values, the trimmed mean 0 is more resistant. To find the 10% trimmed mean for a data set, first arrange the data in order, then delete the bottom 10% of the values and delete the top 10% of the values, then calculate the mean of the remaining values. Use the axial loads (pounds) of aluminum cans listed below (from Data Set 30 “Aluminum Cans” in Appendix B) for cans that are 0.0111 in. thick. An axial load is the force at which the top of a can collapses. Identify any outliers, then compare the median, mean, 10% trimmed mean, and 20% trimmed mean.

$\begin{array}{l}\text{247} \text{ 26}0 \text{ 268} \text{ 273} \text{ 276} \text{ 279} \text{ 281} \text{ 283} \text{ 284} \text{ 285} \text{ 286} \text{ 288} \\ \text{289} \text{ 291} \text{ 293} \text{ 295} \text{ 296} \text{ 299} \text{ 31}0 \text{ 5}0\text{4}\end{array}$