Question

jill estimated a room to be 18ft tll it was actually only 15ft tall what is her prcantage error

Answer 1

To calculate the percentage error in Jill's estimate, you can use the formula for percentage error:

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

In this case:

- Estimated Value = 18 ft
- Actual Value = 15 ft

First, calculate the absolute error:

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

Now, plug the values into the percentage error formula:

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

\[
\text{Percentage Error} = 0.2 \times 100 = 20\%
\]

So, Jill's percentage error is **20%**.