he table shows how scores are calculated at diving competitions. Each of the five judges scores each dive from 1 to 10 in 0.5-point increments. Tyrell performs a dive with a degree of difficulty of 2.5. His scores from the judges are 8.0, 7.5, 6.5, 7.5, and 7.0.

 

Calculating a Diving Score
Step 1	Drop the highest and lowest of the five judges’ scores.
Step 2	Add the remaining scores to find the raw score.
Step 3	Multiply the raw score by the degree of difficulty.
 

a. Write an expression to find Tyrell’s score for the dive.

To calculate Tyrell's score for the dive, we can follow the steps outlined in the problem:

1. **Step 1**: Drop the highest and lowest scores.
   - The scores given by the judges are 8.0, 7.5, 6.5, 7.5, and 7.0.
   - The highest score is 8.0, and the lowest score is 6.5.
   - After dropping these, the remaining scores are 7.5, 7.5, and 7.0.

2. **Step 2**: Add the remaining scores to find the raw score.
   - Raw score \( = 7.5 + 7.5 + 7.0 = 22.0 \)

3. **Step 3**: Multiply the raw score by the degree of difficulty.
   - Tyrell's dive has a degree of difficulty of 2.5.
   - Final score \( = 22.0 \times 2.5 = 55.0 \)

### Expression to find Tyrell’s score:

\[
\text{Final Score} = \left(7.5 + 7.5 + 7.0\right) \times 2.5
\]

\[
\text{Final Score} = 22.0 \times 2.5 = 55.0
\]

So, Tyrell's score for the dive is **55.0**.

Would you like more details or have any questions about the solution?

Here are some related questions:
1. What would Tyrell's score be if his degree of difficulty was 3.0?
2. How would Tyrell's score change if one of the judges gave him a 6.0 instead of a 7.0?
3. If Tyrell performed another dive with scores of 7.0, 7.5, 8.0, 8.0, and 7.5, what would his final score be with the same degree of difficulty?
4. How does changing the degree of difficulty affect the final score in diving competitions?
5. If Tyrell's final score needed to be at least 60 to advance to the next round, what should his raw score be with a degree of difficulty of 2.5?

**Tip:** In competitive diving, dropping the highest and lowest scores helps to reduce bias and ensure fairness in the judging process.

Learn how to calculate a diving score using judges' scores and degree of difficulty. Follow a step-by-step solution example with specific data points. Suitable for students in Grades 7-9.

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