Question

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

Answer 1

-Judy is closest to real value.

-% difference is 4.6%

Explanation:

-We calculate the margin of errors for both Judy and Atticus:

`ME_j=|Real value -Assumed|\\\\=|452-325|\\\\=127\\\\\\ME_a=|Real \ Value- \ Assumed|\\\\=|600-452|\\\\=148\\\\ME_a>ME_j`

We realize that Judy's assumed value was nearer to the eal value than Atticus'.

The percentage ME difference is calculated as:

`\% ME=(ME)/(Real \ Value)\\\\=(148-127)/(452)\\\\=0.04646=4.6\%`

Hence, the % error difference is 4.6%