Chapter 3

1) The 500 Home Run Club includes the baseball players who have hit at least 500 home runs in their professional careers. The table below shows the names of the 500 Home Run Club members, their career home runs, and their age when they hit home run number 500.

a. Determine the mean, median, and mode for career home runs.

b. Determine the mean, median, and mode for #500 age.

Name Career Home Runs #500 Age

Hank Aaron 755 34

Ernie Banks 512 39

Barry Bonds 762 36

Jimmie Foxx 534 32

Ken Griffey, Jr. 630 34

Reggie Jackson 563 38

Harmon Killebrew 573 35

Mickey Mantle 536 35

Eddie Mathews 512 35

Willie Mays 660 34

Willie McCovey 521 40

Mark McGwire 583 35

Eddie Murray 504 40

David Ortiz 501 39

Mel Ott 511 36

Rafael Palmeiro 569 38

Albert Pujols 555 34

Manny Ramirez 527 36

Frank Robinson 586 36

Alex Rodriguez 553 32

Babe Ruth 714 34

Mike Schmidt 548 37

Gary Sheffield 509 40

Sammy Sosa 609 34

Frank Thomas 521 39

Jim Thome 612 37

Ted Williams 521 41

2) Indicate whether the following skewed distributions are positively skewed because the mean exceeds the median or negatively skewed because the median exceeds the mean.

a. A distribution of ages of attendees at an Andr Rieu concert with most attendees in their sixties and seventies.

b. An income distribution in Great Britain for the years 2003-2004 where the mean was 408 while the median was 336.

c. A distribution of actors' wages in 2008 where the median hourly wage was $16.59 and the mean hourly wage was $29.00.

d. A distribution academic physicians' weekly computer use, ranging from 0 to 40 hours, with a median of 8 hours and a mean of 9.7 hours.