A student is using a graduated cylinder to measure the volume of water and reports a reading of 18 m
A student is using a graduated cylinder to measure the volume of water and reports a reading of 18 mL. The teacher reports the value as 18.4 mL. What is the student’s percent error?
Percent error compares how far your measurement is from the true (accepted) value. The formula is: percent error = (|measured value − true value| ÷ true value) × 100. The true value here is the teacher’s reading, 18.4 mL, and the student’s measured value is 18 mL.
First find the error: |18 − 18.4| = 0.4 mL. Now divide by the true value: 0.4 ÷ 18.4 = 0.02174 (rounded). Multiply by 100: 0.02174 × 100 = 2.174%.
Rounded to two decimal places, the student’s percent error is 2.17%. A common mistake is dividing by the student’s own reading (0.4 ÷ 18 = 2.22%). Always divide by the accepted or true value, not by your own measurement.
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