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%.