Question

Judy thinks there will be 325 people at the county fair on Friday, while Atticus thinks there willbe 600 people. On Friday, 452 people attend the fair. Who is closer in their estimate what is the difference between the percent errors

Answer 1

Answer:

Step-by-step explanation:

now

taking the mean of both the assumptions of Judy and Atticus

We get = (325 + 600)/2

= 925/2

= 462.5

we see that the actual number of people who attended the fair is less than 462.5 > 452, therefore the lower number that was taken for mean will be closer

therefore, the observation of Judy is closer to the actual number.

% error = %error of Atticus - %error of Judy

%error = (assumption - actual)/actual x 100

%error for judy = 127/452 x 100 = 12700/452 ≈ 28%

%error for Atticus = 148/452 x 100 = 14800/452 ≈ 32.7%

Difference = 4.7%

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Answer 2

Given:

Judy's estimate = 325

Atticus' estimate = 600

Actual figure = 452

Find the difference in Judy's estimate and the actual figure:

Difference = 452 - 325

Difference = 127

Find the difference in Atticus' estimate and the actual figure:

Difference = 600 - 452

Difference = 148

Conclusion:

127 < 148

⇒ Judy's estimate is closer

Answer: Judy's estimate is closer to the actual figure.

Find the error percentage of Judy's estimation:

Error percentage = 127/452 x 100

Error percentage = 28.1%

Find the error percentage of Judy's estimation:

Error percentage = 148/452 x 100

Error percentage = 32.7%

Find the difference in their estimate:

Difference = 32.7 = 28.1

Difference = 4.6%

Answer: Their difference in the error is 4.6%