Question

Annie estimates that the height of a bookcase is 78.25 in. The actual height is 75.50 in.

To the nearest tenth of a percent, what is the percent error in Annie's estimate?
Enter your answer

Answer 1

The percentage error is 3.6 % .

Explanation:

Formula

As given

Annie estimates that the height of a bookcase is 78.25 in. The actual height is 75.50 in.

Here

Approx value = 78.25 in

Exact value = 75.50 in

Error = 2.75

Put in the formula

Error percentage = 3.6 %

Therefore the percentage error is 3.6 % .

Answer 2

The percentage error is 3.6 % .

Explanation:

Formula

`Error\ percentage = (Error* 100)/(Exact\ value)`

`Error = \left |Approx - Exact \right |`

As given

Annie estimates that the height of a bookcase is 78.25 in. The actual height is 75.50 in.

Here

Approx value = 78.25 in

Exact value = 75.50 in

`Error = \left |78.25 - 75.50\right |`

Error = 2.75

Put in the formula

`Error\ percentage = (2.75* 100)/(75.50)`

`Error\ percentage = (275)/(75.50)`

Error percentage = 3.6 %

Therefore the percentage error is 3.6 % .