Activity III: Batting Averages and More (Grades 710)
About Math Concepts 
Women Athletes 
Batting Averages and More 
Career Connections 
More Math Concepts
Standards
Standard 2: Patterns, Functions, and Algebra
Standard 5: Data Analysis, Statistics, and Probability
Standard 6: Problem Solving
Standard 7: Reasoning and Proof
Standard 8: Communication,
Standard 9: Connections
Standard 10: Representations
* These standards have been adopted and are based on the information from Principals and
Standards for School Mathematics: Discussion Draft, October l998, National Council of Teachers of Mathematics.
Objectives
 set up and solve a system of equations
 apply
their understanding of percentages and their calculation
 set up a spreadsheet and do calculations using columns
 reason from data
Activity3
A. The following data is for eleven of the greatest hitters in the baseball hall of fame.
Player  Games  At Bats  Hits  Batting Average (BA)  Runs Batted In (RBI)  Home Runs 
Hank Aaron  3298  12364  3771  0.305  2297  755 
Rod Carew  2469  9315  3053  0.328  1015  92 
Ty Cobb  3034  11429  4191  0.367  1961  118 
Lou Gehrig  2164  8001  2721  0.34  1990  493 
Rogers Hornsby  2259  8173  2930  0.358  1584  301 
Reggie Jackson  2820  9864  2584  0.262  1702  563 
Mickey Mantle  2401  8102  2415  0.298  1509  536 
Willie Mays  2992  10881  3283  0.302  1903  660 
Stan Musial  3026  10972  3630  0.331  1951  475 
Babe Ruth  2503  8399  2873  0.342  2211  714 
Ted Williams  2292  7706  2654  0.344  1839  521 
 Place this data in a spreadsheet using either a computer or in a graphing calculator. Determine the percentage of home runs per games, the percentage of home runs per at bat, and the home runs per hit.
 Rank these eleven players in descending order of the ratio of home runs per game.
 Rank these eleven players in descending order of the ratio of home runs per at bat.
 Rank these eleven players in descending order of the ratio of home runs per hit.
 Based
on all of the data, make an argument that Babe Ruth
is the best hitter in baseball history.
 Based
on all of the data, make an argument that one of these
eleven is the number two greatest hitter in baseball
history.
 Make
a statistically based argument that Henry Aaron is
the greatest home run hitter of all time.
B.
The morning edition of the daily newspaper reported that
Mark McGwire had a batting average of .350. After the
Saturday night game in which McGuire had 3 hits in 5 times
at bat, his new batting average was reported to be .352.
Determine the number of at bats and hits McGwire had prior
to the Saturday night game.
C. At different
times in the season, when Mark McGuire had 3 hits for 5 times at bat,
his batting average jumped from .350 to.366, from .350 to .358, and from
.350 to .355. Explain why the increase is not the same amount each time.
