QuestionJune 21, 2025

A scientist makes a measurement and gets a value of 90.6 m The true value is 60.0 m. Calculate the absolute and relative error of the scientist's measurement. Round your answers to a reasonable n number of decimal places.Also be sure your answers include any necessary symbols. absolute error: square relative error: square

A scientist makes a measurement and gets a value of 90.6 m The true value is 60.0 m. Calculate the absolute and relative error of the scientist's measurement. Round your answers to a reasonable n number of decimal places.Also be sure your answers include any necessary symbols. absolute error: square relative error: square
A scientist makes a measurement and gets a value of 90.6 m The true value is 60.0 m. Calculate the absolute and relative error of the scientist's measurement. Round your answers to a reasonable n number of decimal places.Also be sure your answers include any necessary symbols. absolute error: square relative error: square

Solution
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Answer

Absolute error: 30.6 ### Relative error: 0.51 Explanation 1. Calculate Absolute Error Absolute error is the difference between the measured value and the true value. Use the formula: **| \text{Measured Value} - \text{True Value} |**. |90.6 - 60.0| = 30.6 2. Calculate Relative Error Relative error is the absolute error divided by the true value. Use the formula: **\frac{\text{Absolute Error}}{\text{True Value}}**. \frac{30.6}{60.0} = 0.51

Explanation

1. Calculate Absolute Error<br /> Absolute error is the difference between the measured value and the true value. Use the formula: **$| \text{Measured Value} - \text{True Value} |$**.<br /> $|90.6 - 60.0| = 30.6$<br /><br />2. Calculate Relative Error<br /> Relative error is the absolute error divided by the true value. Use the formula: **$\frac{\text{Absolute Error}}{\text{True Value}}$**.<br /> $\frac{30.6}{60.0} = 0.51$
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