Discussion
While measuring a line segment of length 12 cm, it was measured as 12.2 cm by mistake. Find the percentage error in measuring the line segment.
Answer: C
The percentage error is 1.67%.
The error is 12.2 − 12 = 0.2 cm on a true length of 12 cm.
\[ \frac{0.2}{12}\times100\approx1.67\% \]
0.16% and 0.67% are not the error on 12 cm, and 16.7% divides by 1.2 instead of 12.
The percentage error is always taken on the true value, here 12 cm, and not on the measured value. Using 12.2 as the base would give 1.64%, which is not an option. The difference 0.2 is the absolute error.
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