Raven is a geologist. She is measuring something called the porosity of a rock. The actual porosity of the rock sample is 0.114 Raven measures the porosity as 0.120. What is Raven’s percent error on this measurement?

Question

0.006%

5.26%

0.600%

0.0526%

Answer 1

To calculate the percent error of Raven's measurement, you can use the formula for percent error:

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

In this case, the measured value is 0.120 and the actual value is 0.114.

1. Calculate the absolute error: \[ |\text{Measured Value} - \text{Actual Value}| = |0.120 - 0.114| = 0.006 \]

2. Plug the values into the percent error formula: \[ \text{Percent Error} = \left( \frac{0.006}{0.114} \right) \times 100 \]

3. Calculate the division: \[ \frac{0.006}{0.114} \approx 0.05263 \]

4. Convert to percent: \[ 0.05263 \times 100 \approx 5.263 \]

So, Raven's percent error is approximately 5.26%.

The correct answer is 5.26%.