Question

Audrey has been practicing her basketball free throws. She predicts to her friends that she will make 15 free throws before she misses one, but she actually makes 20 free throws before missing. What is the percent error for Audrey's prediction?
If necessary, round your answer to the nearest tenth of a percent.
_____%

Answer 1

To calculate the percent error of Audrey's prediction, we first need to find the difference between her predicted value and the actual value.

Audrey's predicted number of free throws:
- Predicted = 15

Actual number of free throws:
- Actual = 20

Next, we calculate the absolute error:
\[
\text{Absolute Error} = |\text{Predicted} - \text{Actual}|
\]
\[
\text{Absolute Error} = |15 - 20| = 5
\]

Now we calculate the percent error using the formula:
\[
\text{Percent Error} = \left( \frac{\text{Absolute Error}}{\text{Actual}} \right) \times 100
\]
Substituting the values we found:
\[
\text{Percent Error} = \left( \frac{5}{20} \right) \times 100
\]
\[
\text{Percent Error} = 0.25 \times 100 = 25\%
\]

Thus, the percent error for Audrey's prediction is **25.0%**.