8. The average LSAT scores (X) for the 1973 entering classes of 15 American law schools and the corresponding grade point averages (Y ) are as follows.

X: 576 635 558 578 666 580 555 661 651 605 653 575 545 572 594 Y : 3.39 3.30 2.81 3.03 3.44 3.07 3.00 3.43 3.36 3.13 3.12 2.74 2.76 2.88 2.96 Use a boxplot to determine whether any of the X values are outliers. Do the same for the Y values. Comment on whether this is convincing evidence that there are no outliers.

Check for outliers using the MVE, MCD, and projection-type methods described in Section 6.4. Comment on the different results.