Question

5. Jill estimated a room to be 18ft tall. It was actually only 15 ft tall. What is her percentage of error? (tenth)

Answer 1

To calculate the percentage of error, you can use the formula:

\[
\text{Percentage of Error} = \left( \frac{|\text{Estimated Value} - \text{Actual Value}|}{\text{Actual Value}} \right) \times 100
\]

In this case, Jill estimated the height to be 18 ft, and the actual height is 15 ft.

1. Calculate the absolute error:

\[
|\text{Estimated Value} - \text{Actual Value}| = |18 - 15| = 3 \text{ ft}
\]

2. Now use the formula to find the percentage of error:

\[
\text{Percentage of Error} = \left( \frac{3}{15} \right) \times 100
\]

3. Simplify the fraction:

\[
\frac{3}{15} = 0.2
\]

4. Multiply by 100 to get the percentage:

\[
0.2 \times 100 = 20\%
\]

Thus, Jill's percentage of error is **20.0%**.