fact check this

Calculating the Team Rating

**Team Details:**

**Team Name:** [FNCS24] EXD Peterbot + [FNCS24] EXD Pollo

**Scaled Points:** 4.0 (for FNCS Global Championship)

**Points:** 985

**Matches:** 12

**Wins:** 3

**Average Points:** 82.08

**Average Place:** 7.00

**Average Time Alive:** 11 minutes 49 seconds (converted to seconds: 709 seconds)

**Eliminations:** 36

**Average Elims:** 3.00

**K/D Ratio:** 4.00

**TDF:** 8.0 (for FNCS Global Championship)

**MatchDuration:** 24 minutes (converted to seconds: 1440 seconds)

**Formula:**

Rating = (ScaledPoints * Points * (2 + TDF)) + (Wins * (15 + TDF)) - (Average Place * (1.25 + TDF)) + ((Average Time Alive / MatchDuration) * 2) + (Eliminations * (3 + TDF)) + (K/D Ratio * (1.5 + TDF))


**Calculations:**

**ScaledPoints * Points * (2 + TDF):**

4.0 * 985 * (2 + 8) = 79,600

**Wins * (15 + TDF):**

3 * (15 + 8) = 69

**Average Place * (1.25 + TDF):**

7.00 * (1.25 + 8) = 65.25

**(Average Time Alive / MatchDuration) * 2:**

(709 / 1440) * 2 ≈ 0.98

**Eliminations * (3 + TDF):**

36 * (3 + 8) = 396

**K/D Ratio * (1.5 + TDF):**

4.00 * (1.5 + 8) = 38

**Total Rating:**

79,600 + 69 - 65.25 + 0.98 + 396 + 38 ≈ **39,839.23**

**Conclusion:**

Based on the provided data, the team **[FNCS24] EXD Peterbot + [FNCS24] EXD Pollo** has a calculated rating of approximately **39,839.23**. This rating reflects their overall performance in the FNCS Global Championship, considering factors such as points earned, wins, average placement, survival time, eliminations, and K/D ratio.

Let's fact-check the formula and the calculations step by step:

### Formula:
The formula you provided:
\[
\text{Rating} = (\text{ScaledPoints} \times \text{Points} \times (2 + \text{TDF})) + (\text{Wins} \times (15 + \text{TDF})) - (\text{Average Place} \times (1.25 + \text{TDF})) + \left( \frac{\text{Average Time Alive}}{\text{MatchDuration}} \times 2 \right) + (\text{Eliminations} \times (3 + \text{TDF})) + (\text{K/D Ratio} \times (1.5 + \text{TDF}))
\]
is **different** from the original formula, where the components were:
\[
\text{Rating} = (\text{Scaled Points} \times (2 + \text{TDF})) + (\text{Wins} \times (15 + \text{TDF})) - (\text{Average Place} \times (0.75 + \text{TDF})) + \left( \frac{\text{Average Time Alive}}{1440} \times 2 \right) + (\text{Eliminations} \times (0.5 + \text{TDF})) + (\text{K/D Ratio} \times (3 + \text{TDF}))
\]

**Differences in the Formula**:
- The **original formula** uses:
  - `Scaled Points` directly without multiplying by `Points`.
  - `Average Place` factor is `(0.75 + TDF)` instead of `(1.25 + TDF)`.
  - The `Eliminations` factor is `(0.5 + TDF)`, not `(3 + TDF)`.
  - The `K/D Ratio` factor is `(3 + TDF)`, not `(1.5 + TDF)`.

### Checking the Calculations:
#### 1. **Scaled Points * Points * (2 + TDF):**
   - Your calculation: 
     \[
     4.0 \times 985 \times (2 + 8) = 79,600
     \]
     This is mathematically correct, but it **doesn't follow the original formula**, which should use:
     \[
     \text{Scaled Points} \times (2 + \text{TDF}) = 4.0 \times (2 + 8) = 40
     \]
     The correct calculation would be \( 40 \), not \( 79,600 \).

#### 2. **Wins * (15 + TDF):**
   - Your calculation:
     \[
     3 \times (15 + 8) = 69
     \]
     This is correct and follows the original formula.

#### 3. **Average Place * (1.25 + TDF):**
   - Your calculation:
     \[
     7.00 \times (1.25 + 8) = 65.25
     \]
     This is mathematically correct for the formula you used, but the original formula uses:
     \[
     7.00 \times (0.75 + 8) = 7.00 \times 8.75 = 61.25
     \]
     So the correct value should be \( 61.25 \), not \( 65.25 \).

#### 4.

Fact check this: Calculating the Team Rating for FNCS Global Championship based on team performance metrics such as points, wins, average placement, survival time, eliminations, and K/D ratio.

This page covers the detailed process of calculating a team's rating for the FNCS Global Championship. Learn how performance metrics such as points, wins, average placement, survival time, eliminations, and K/D ratio are used in the rating formula. Step-by-step calculations and comparisons to the original formula are provided. Suitable for Grades 10-12.

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