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

1 answer

To calculate Jill's percentage of error, we can use the formula for percentage error:

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

In this case:

  • Estimated Value = 18 ft
  • Actual Value = 15 ft

Now, substituting the values into the formula:

\[ \text{Percentage of Error} = \left( \frac{|18 - 15|}{15} \right) \times 100 \]

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

\[ = 0.2 \times 100 \]

\[ = 20% \]

Therefore, Jill's percentage of error is 20.0%.