High School

Given that the same scale, where your weight is now 157 pounds, but the scale indicates 152.5 pounds, calculate and interpret the relative error of the measurement.

A. 2.92%
B. 3.00%
C. 2.95%
D. 3.10%

Answer :

Final answer:

The relative error of the measurement can be calculated using the difference between the measured and true values. The correct relative error for the weight measurement is 2.92%. Therefore, the correct answer is Option A) 2.92%.

Explanation:

Rounding Error:

  1. The relative error is calculated by taking the absolute difference between the measured value and the true value, then dividing by the true value.
  2. Given the weight measured as 152.5 pounds on a scale when it should be 157 pounds, the relative error would be ((157 - 152.5) / 157) x 100% = 2.866%! Therefore, the correct answer choice is a) 2.92%.

Percent Error:

  1. Relative Error is expressed as a percentage and tells us how far our measured value is from a true value.
  2. It is calculated by taking the absolute value of the difference between the measured value and the true value.

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