A basketball player guesses her team will score 57 points during the game. The player's team actually scores 63 points.

Question

What is the percent error in the player's guess?

Round your answer to the nearest tenth of a percent.

Enter your answer in the box.


%

Answer 1

To calculate the percent error in the player's guess, you can use the following formula:

\[ \text{Percent Error} = \left( \frac{|\text{Actual Value} - \text{Guess}|}{\text{Actual Value}} \right) \times 100 \]

In this case, the actual value (the team's actual score) is 63 points, and the guess (the player's prediction) is 57 points.

1. Calculate the absolute error: \[ |\text{Actual Value} - \text{Guess}| = |63 - 57| = 6 \]

2. Substitute the values into the percent error formula: \[ \text{Percent Error} = \left( \frac{6}{63} \right) \times 100 \]

3. Calculate: \[ \frac{6}{63} \approx 0.0952 \] Then multiply by 100: \[ 0.0952 \times 100 \approx 9.52 \]

4. Round to the nearest tenth of a percent: \[ 9.5% \]

Thus, the percent error in the player's guess is 9.5%.