# LAP Hilton

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```					Learning Activity Packet Written By Kristie Hilton
Math 4161C-Moch, Spring 2004, VSU

BASEBALL
MATHEMATHICS:
HOW TO SCORE A BATTING AVERAGE

Have you ever wondered while watching a baseball game what the

announcer of the game was really saying when they talked about a hitter’s

batting average? Well, I have and baseball is something that is not new to me. I

played baseball for the longest time and never learned how or understood the

terms of my batting average and what it all meant! During this activity, I will

explain what a batting average in the simplest terms possible for those who do

not understand baseball jargons and for those who do. We will also compute

several batting averages for known major league players to gain practice and we

will also know what a good hitter’s batting average should look like.

This activity incorporates averaging, dividing and rounding numbers,

which is more suitable for the upper grades, fifth and up. The level of difficulty is

fairly easy for the upper grades. The use of a calculator is preferable for this

activity.
Learning Activity Packet Written By Kristie Hilton
Math 4161C-Moch, Spring 2004, VSU

What is a batting average? First, what is an average? An average is the
sum of any given numbers divided by the total numbers represented. Simply put,
the average of 1,2,3,4,5 would 1+2+3+4+5=15 15 divided by 5 or 15/5 =3. The
average of those five scores together is three. Our sum of the numbers is 15.
Then we took 15 and divided it by 5 because we had 5 scores represented. Lets
try some more.

Find the average of 2,5,6,7.                     Find the average of 4,5,9.
Answer= 2+5+6+7=20                               Answer= 4+5+9
= 20/4                                           =18/3
=5                                               =6
The answer is 5.                                 The answer is 6.

Averages will not always be in whole numbers. For example, you may have an
answer in decimal form. For future references, you will need to pay attention to
your directions to see if and how you will round, but in this case; you need the
batting average to be as exact as possible, so no rounding decimals. Look at the
following:

Find the average of 3,5,11,10.                   Find the average of 1, 4, 6.
Answer= 3+5+11+10=29                             Answer= 1+4+6 =11
=29/4                                            =11/3
= 7.25                                            =3.66

Lets review, the steps to finding an average are: 1) find the sum of the numbers
2) once you have the sum, divide the sum of the numbers by the total numbers
represent in the problem

With this said, what is a batting average? A batting average is the average of
times you hit the ball. For example, you come to the plate ready to hit 10 times in
total, you only hit 5 times; therefore, your batting average is .500. To figure your
batting average, you take the times of times you actually hit the baseball and got
on base and divide it by the total number of times you attempted to hit the ball.
Here is where things in baseball can get technical. You have to make it to base,
without it being an error on the opposing team for it to count for you. During our
practice of keeping player’s batting averages, we will assume that the times the
player makes it to base is not by error on the opposing team. Lets look more at
batting averages.

Please note that these stats are not current!
Jeter has 593 at bats. He has 201 hits. Therefore to calculate his average, you
must take his hits 201 and divide it by the total number he was at bat, which was
593. 201/593= .338. Jeter batting average is .338.
Learning Activity Packet Written By Kristie Hilton
Math 4161C-Moch, Spring 2004, VSU

Giambi has 510 at bats. He has 170 hits. Therefore to calculate his average, you
must take his hits, 170 and divided it by his total number at bats, 510. 170/510
=.333

Alou has 454 at bats. He has hit 161 times. What is his batting average?
161/ 454 =.354. Alou batting average is .354

So, now that you know how to figure a player’s batting average, what is
considered to be a good batting average? Well, look at it this way, if you hit 3
times out of 10. Your batting average is .300. That is considered to be good. The
highest batting average a person can get is 1000. That is a perfect score. Perfect
scores are very few and very far between. If you are ever watching a baseball
game, watch how many players a pitcher and a good defense can sit down.

Before we continue to practice, lets make some connections. Batting averages
are figured just the way your grades in school are. You must average the amount
of times you hit the ball and then divide the total number of times you had at bat.

Do the following batting averages for these major league players. The answers
key follows.

Player Name          Hits                  At bats              Average
Damon                214                   655
Delgado              196                   569
Erstad               240                   676
Garciaparra          197                   529
Ramirez              154                   439
Segui                192                   574
Sweeney              206                   618
Thomas               191                   582
Castillo             180                   539
Guerrero             197                   571
Hammonds             152                   454
Helton               216                   580
Kent                 196                   587
Piazza               156                   482
Sheffield            167                   501
Vidro                200                   606
Justice              150                   124
Williams             165                   537
Posada               145                   505
O’Neill              160                   566
Brosius              108                   470
Martinez             147                   569
Canseco              83                    329
Learning Activity Packet Written By Kristie Hilton
Math 4161C-Moch, Spring 2004, VSU
Answer Key

Player Name          Hits                  At bats   Average
Damon                214                   655       .326
Delgado              196                   569       .344
Erstad               240                   676       .355
Garciaparra          197                   529       .372
Ramirez              154                   439       .350
Segui                192                   574       .334
Sweeney              206                   618       .333
Thomas               191                   582       .328
Castillo             180                   539       .333
Guerrero             197                   571       .345
Hammonds             152                   454       .334
Helton               216                   580       .372
Kent                 196                   587       .333
Piazza               156                   482       .323
Sheffield            167                   501       .333
Vidro                200                   606       .330
Justice              150                   524       .286
Williams             165                   537       .307
Posada               145                   505       .287
O’Neill              160                   566       .282
Brosius              108                   470       .229
Martinez             147                   569       .258
Canseco              83                    329       .252

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