calculating baseball statistics using algebraic formulas by e. w. click the baseball bat to begin
TRANSCRIPT
What you will be learning!
• You will be learning how to:• Calculate averages given two variables to the nearest thousandths• Calculate weighted averages given multiple variables to the nearest
thousandths place• You will also learn how to find and solve for missing variables when given the
averages or weighted averages.
Before hitting the field to play ball you need to make sure you know
how to get around
The baseball will be used to take you to the previous
screen
Home plate will take you to the home menu
The baseball bat will go to the next page
Definitions of Baseball Statistics
• Baseball is full of stats and all of them have a special abbreviation that you will need to get use to• The Lesson Includes the following
• Hit (H) – Times a player gets on baseball• At Bats (AB) – Number of times a player tries to get a hit• Single (1B) – A Hit where the batter reaches 1st base• Double (2B) – A Hit where the batter reaches 2nd base• Triple (3B) – A Hit where the batter reaches 3rd base• Home Run (HR) – Hit where the batter touches all three bases and home plate• Batting Average (BA) – percentage of hits per At Bats• Slugging Percentage (SLG) – Weighted average that takes total bases per At Bats
Example of a Baseball Card
Front of the baseball card just has the player’s picture, name, and team
The back of the card has the players basic information like height and weight along with season and career statistics.
Solving for SLG %
QUIZFinding missing variables
Solving for Batting average
Click the base you want to try first
Bases get more difficult as they go
Only take the quiz when finished with all 3 bases
What is Batting Average
•Batting average is one of the most basic, but main stats used in baseball when it comes to evaluating a player.•Batting average tells you the percentage of how many
hits a player has divided by the number of At Bats he has.
How to Solve for Batting Average
•Batting average, or BA, is displayed in decimal form and is rounded to the nearest thousandth• EX) .250 or .333
• The equation for batting average is:
Solve for Batting Average• If a player has 32 hit and 100 at bats, what is the correct way
to display his batting average
.32
32100.320
3.125
Incorrect
• Remember• Batting average is always in decimal form.• Batting average is always rounded to the thousandths place.• The equation for batting average is.
Go Back and try again
Next we will solve batting average using
baseball cards
For batting average you are only interested in two categories. Hits (H) & At Bats (AB).
Incorrect
•Remember•When you are using a baseball card to find batting average
you only use the hits and the at bats.
• Also make sure you use the right year total row.
Go back and try It again
Correct!!
NICE JOB!The Player has 114 hits and 418 at bats in the year of 2008 so
Go back home and select a different base
What is Slugging Percentage
SLG % is a weighted average that takes into account how many total bases you reach and compares it to At Bats.SLG% differs from batting average because batting average only takes hits into account and not the value of each hit.
SLG % EquationThe general equation for SLG % is
SLG% is displayed in decimal form and rounded to the thousandths similar to batting average. However, it is possible for a player to have a slugging % than 1, unlike batting average
Total Bases?• Total bases is something we haven’t discusses, but that’s ok.
It is pretty easy to find.• Each hit has a value – single, double, triple, and Home Run• The value for each is:• Single = 1• Double = 2• Triple = 3• Home Run = 4
Total Bases?After you know how much each type of hit is worth, you just multiply the total amount per type and the value
If a player has 17 singles, 8 doubles, 1 triple, and 4 HRs then
And that would equal 52 total bases.
Solve for Total Bases• If a player has 84 singles, 23 doubles, 3 triples, and 19 HRs in
a season, how many total bases does he have?
129
250215
349
Incorrect
•Remember
• If you had them together without multiplying each value, you would just get hits
Go back and try It again
Solve for Slugging Percentage
• If a player has 119 singles, 48 doubles, 9 triples, and 5 Home Runs in 578 at bats, what is his SLG%
.307
.350.667
.453
Incorrect
•Remember• To find SLG % you have to find total bases first
• Then you divide by the number of At bats.
Go back and try It again
Getting information for SLG from baseball cards
• To Find SLG% from a baseball card, you have to use the information found in 2B, 3b, and HR.• Most baseball cards don’t give
you singles so you have to calculate that by
Incorrect
•Remember• Focus on the 2B, 3B, HR, and calculate the 1B to find total bases• Make Sure you are using the correct year• Finally recall the equation is
Go back and try It again
Correct!
Looks like you are getting the hang of thisThe total bases = 295
So SLG% =
Go home and start working on the final base
Solving for a missing variable
For this section we are going to take what we have already been taught, and expand on it a little.
You will be given batting average or SLG%, but one part of the equation will be missing and you will learn how to find what the missing part is equal to
Solving for the missing variable in Batting Average
Finding the missing variable for batting average is simpler of the two because there are only 2 variables
The two variables are Hits and At bats
EX1) We know BA and Hits. Solve for AB
Step 1) take original equation and multiply both sides by AB
Now you have: (AB)BA = Hits
Step 2) divide by BA so you end up with
Tips!
• Remember that when solving for the missing variable you need the missing variable on one side of the equals sign and everything else on the other
• Also it is important to realize that for these problems you are finding an approximate answer since BA and SLG% are both rounded
Solving for hits• If the player has an average of .286 and he has 123 AB, how
many hits does he have?
35
3020
25
Incorrect
•RememberThe original equation was And since you are trying to find out how many hits he has you need to solve the equation so Hits is on one side
Go back and try It again
Solving for missing variables in SLG%
- This is a little more difficult because SLG% has 5 different variables to choose from
- It is simple to solve for AB so we will move on to a harder example
Solving for singles
Step 1) take the original equation and multiply AB
Step 2) Take the three variables you know and subtract
Hint- Since singles are multiplied by 1, you don’t have to go
any further
- If you solved for any of the other 3 then you would have to divide by the respective numbers like divide by 2 for doubles
Solving for the missing variable
• How many Home Runs did the player hit if he had a slugging percentage of .682, and he had 110 singles, 32 doubles, 1 triple, and had 632 AB
45 HR
64 HR53 HR
72 HR
Correct!
If you were able to solve for the missing variable (HR) and got 64 Home Runs, then you are ready to take the final quiz.Go home and click on the quiz. Good Luck!
Quiz #1Player A has a total of 2297 hits and 8185 AB, and Player B has 5795 AB and 1645 Hits. Who has the higher average
Player A Player B
Incorrect-Make sure you are plugging the correct stat in the rights place of the equation
-Remember the equation for batting average is
Go back and try It again
Correct!
Player B has an average of .284 over his career, but Player A has an average of .281. It is close, but Player B has a higher average
#2Player A has 1267 singles, 386 doubles, 8 triples, 422 Home runs, and 8185 AB.Player B has 1136 singles, 332 doubles, 21 triples, 156 Home runs, and 5795 AB.Who has the higher SLG%
Player A Player B
Incorrect
-Notice that these are the same players as the previous problem and just because someone has a higher average does not mean he will have a higher SLG%-The formula i
Go back and try It again
Correct!
Player A’s SLG% = .499, while Player B only has a SLG% of .429
You should notice that Player A has hit a significant amount more Home Runs and how that affects it.
Incorrect
Since the equation is , you have to solve for the missing variable which in this case is AB
Go back and try It again
Correct!
When you change the equation to solve for At Bats you will see
Just 2 more questions. Almost done
Incorrect- It may not be obvious what the missing variable is at first but you are solving for singles (1B)
You can do this two ways, and the first would be to solve the equation for 1B or simply just taking Hits-2B-3B-HR
Maybe you should try both to see if you get the same answer
Correct!
If you found that
Then you did more work than you needed.Hits-2B-3B-HR would have got you the same answer but it was
good practice
#5 Critical thinking
.325 .310.306.298
Find the Players Batting Average GivenAB = 533 Triples = 0 Singles = 111 SLG% = .489 Doubles = 22
Incorrect
Don’t feel bad, this problem take some thinking-To Find BA you need Hits and AB-Since you don’t have Hits you need to use H=1B+2B+3B+HR to find how many-Finally you don’t have HRs so you have to calculate it by changing the SLG% equation
Correct!
That was a hard problem and you should feel good that you got it right
1st 2nd H = 111 + 22 + 0 + 26 = 159
3rd