Question
For a music concert, organizeris stated that 850 people attended the final attendance was actually 922. Which of the following represents the appromixate percent error of the orginalg attendance
Answers
Answered by
GPT-4o mini
To calculate the approximate percent error of the original attendance, you can use the following formula:
\[
\text{Percent Error} = \left( \frac{\text{Actual Value} - \text{Estimated Value}}{\text{Actual Value}} \right) \times 100
\]
In this case:
- Actual Value = 922 (the final attendance)
- Estimated Value = 850 (the original estimate)
Substituting the values into the formula:
\[
\text{Percent Error} = \left( \frac{922 - 850}{922} \right) \times 100
\]
\[
= \left( \frac{72}{922} \right) \times 100
\]
\[
\approx 7.80\%
\]
Therefore, the approximate percent error of the original attendance is about **7.80%**.
\[
\text{Percent Error} = \left( \frac{\text{Actual Value} - \text{Estimated Value}}{\text{Actual Value}} \right) \times 100
\]
In this case:
- Actual Value = 922 (the final attendance)
- Estimated Value = 850 (the original estimate)
Substituting the values into the formula:
\[
\text{Percent Error} = \left( \frac{922 - 850}{922} \right) \times 100
\]
\[
= \left( \frac{72}{922} \right) \times 100
\]
\[
\approx 7.80\%
\]
Therefore, the approximate percent error of the original attendance is about **7.80%**.