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%.