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Question
Math
Posted 10 months ago

Judy thinks there will be 325 people at the county fair kn Friday, while Atticus thinks there will be 600 . On friday 452 people attend the fair. Who is closer in gheir estimate? What is the difference between the percent errors?
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Answer from Sia
Posted 10 months ago
Solution by Steps
step 1
Calculate the absolute error for Judy's estimate: 325452=127|325 - 452| = 127
step 2
Calculate the absolute error for Atticus's estimate: 600452=148|600 - 452| = 148
step 3
Determine who is closer by comparing the absolute errors: 127<148127 < 148, so Judy is closer
step 4
Calculate the percent error for Judy's estimate: (127452)×10028.1%\left(\frac{127}{452}\right) \times 100 \approx 28.1\%
step 5
Calculate the percent error for Atticus's estimate: (148452)×10032.7%\left(\frac{148}{452}\right) \times 100 \approx 32.7\%
step 6
Find the difference between the percent errors: 32.7%28.1%=4.6%32.7\% - 28.1\% = 4.6\%
Answer
Judy is closer in her estimate. The difference between the percent errors is 4.6%.
Key Concept
Percent Error Calculation
Explanation
Percent error is calculated by taking the absolute error, dividing it by the actual value, and then multiplying by 100 to get a percentage. This helps in comparing the accuracy of different estimates.

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