Question

In science class, Logan estimates the volume of a sample to be 42 mL. The actual volume of the sample is 48 mL. Find the percent error of Logan’s estimate. Round your answer to the nearest tenth.

Answer 1

Percent of error of Logan's Estimate is 12.5%

Explanation:

Given:

Actual Volume of sample =48 mL

Estimated Volume of sample = 42 mL

We need to find the percent errors of Logan estimate.

To calculate percent of error below are the steps.

Step 1: Subtract the Actual value from the estimated value.

Step 2: Take the absolute value of step 1

Step 3: Divide that answer by the Actual value.

Step 4: Multiply that answer by 100 and add the % symbol to express the answer as a percentage.

Now Substituting the values we get;

Step 1: To Subtract Actual Volume with Estimated Volume

Estimated Volume of sample - Actual Volume of sample = 42 - 48 = -6 mL

Step 2: Find Absolute value we get;

`|-6| = 6`

Step 3 : Divide that answer by the Actual volume.

`(6)/(48)=0.125`

Step 4: Multiply that answer by 100 and add the % symbol to express the answer as a percentage.

`0.125* 100 = 12.5\%`

Hence Percent of error of Logan's Estimate is 12.5%