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I can help you solve the problems on this worksheet related to **slugging average**. Let's go through them step-by-step. Here's a brief explanation before we proceed:

### Slugging Average Formula:
The slugging average is a weighted measure of a baseball player's hitting power, and it is calculated by the following formula:

\[
\text{Slugging Average} = \frac{(1 \times \text{Singles}) + (2 \times \text{Doubles}) + (3 \times \text{Triples}) + (4 \times \text{Home Runs})}{\text{Total At-Bats}}
\]

### 1. **Chipper Jones' Slugging Average**
- **Given Data:**
  - At-bats: 425
  - Hits: 180
  - Singles: 75
  - Doubles: 33
  - Triples: 6
  - Home Runs: 59

The slugging average is calculated as:

\[
\text{Slugging Average} = \frac{(1 \times 75) + (2 \times 33) + (3 \times 6) + (4 \times 59)}{425}
\]

Let's compute this.

### 2. **Babe Ruth's Slugging Average**
For Babe Ruth, in **1920**:
- **Given Data:**
  - At-bats: 458
  - Hits: 172
  - Singles: 73
  - Doubles: 36
  - Home Runs: 54
  - Triples: Need to find.

#### (a) Number of triples:
We can find the triples by subtracting the known singles, doubles, and home runs from the total hits:
\[
\text{Triples} = 172 - (73 + 36 + 54)
\]

#### (b) Batting Average:
Batting average is calculated by dividing the total hits by the total at-bats:
\[
\text{Batting Average} = \frac{172}{458}
\]

#### (c) Slugging Average:
Now, we can calculate Babe Ruth's slugging average using the same formula as above, but with the data for his 1920 season.

### 3. **Sammy Sosa's Slugging Average**
For Sammy Sosa in **2008**:
- **Given Data:**
  - At-bats: 458
  - Singles: 54
  - Doubles: 54
  - Triples: 16
  - Home Runs: 27

Use the slugging average formula to find his slugging percentage.

### 4. **Richard's Slugging Average**
For Richard, the third baseman:
- **Given Data (Before 5 games):**
  - At-bats: 230
  - Singles: 47
  - Doubles: 19
  - Triples: 13
  - Home Runs: 19
  - Additional 23 at-bats, with 3 singles, 2 doubles, 5 triples, 1 home run.

You will calculate the slugging average for Richard both before and after the extra at-bats.

Let me compute these answers for you.Chipper Jones' slugging average is approximately **0.929**.

Let's now calculate the answers for Babe Ruth's questions, starting with the number of triples and then moving on to his batting and slugging averages.It seems like I can’t do more advanced data analysis right now. Please try again later.

However, you can easily calculate Babe Ruth's triples by subtracting the singles, doubles, and home runs from the total hits as follows:

\[
\text{Triples} = 172 - (73 + 36 + 54) = 9
\]

If you'd like, I can help you finish calculating the batting and slugging averages for the other players manually or discuss further questions related to the worksheet.

Would you like to continue with the remaining calculations, or need any additional clarifications?

Here are 5 relative questions:
1. What is the difference between batting average and slugging average?
2. How does each type of hit (single, double, triple, home run) affect the slugging percentage?
3. Can a player have a slugging average greater than 1? Why or why not?
4. How would an extra hit affect a player's batting and slugging averages?
5. How is slugging average used in modern baseball statistics?

**Tip:** To improve accuracy in calculating averages, always carefully verify the number of hits and at-bats being used in your formulas!

Chipper Jones set a record for slugging average during his rookie year with the Atlanta Braves. He pounded 180 hits in 425 at-bats. His hits consisted of 75 singles, 33 doubles, 13 triples, and 59 home runs. Find the slugging average.
Babe Ruth set a record for slugging average that stood for more than 80 years. In 1920, Ruth pounded 172 hits in 458 at-bats. His hits consisted of 73 singles, 36 doubles, triples, and 54 home-runs. Find the following: a) Determine the number of triples Babe Ruth had in 1920, b) What is his batting average?, c) What is his slugging average?
Sammy Sosa has the following stats for his 2008 season: he pounded 172 hits in 458 at bats, which consisted of singles, 54 doubles, 16 triples, and 27 home-runs. Find the slugging average.
Richard, the third baseman for South Cobb’s baseball team, really wants to become a professional baseball player. His stats are as follows: 98 hits in 230 at bats which consisted of 47 singles, 19 doubles, 13 triples, and 19 home runs. Over the next 5 games, he has an additional 23 at-bats, 3 singles, 2 doubles, 5 triples, and 1 home run. What’s his current slugging average?

Learn how to calculate slugging averages and batting averages with real-world examples from baseball legends like Chipper Jones, Babe Ruth, Sammy Sosa, and Richard. These calculations cover essential mathematical concepts such as weighted averages and basic algebra, suitable for students in grades 8-10.

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