# Worksheet: Measurement Error

In this worksheet, we will practice defining and calculating the absolute and relative errors of measured values.

**Q1: **

In an experiment, the speed of sound waves on Earth at sea level at a temperature of is 333 m/s. Find the percent relative error in the measurement using an accepted value of 344 m/s. Give your answer to one decimal place.

- A
- B
- C
- D
- E

**Q2: **

Which of the following is the correct formula for the value of the relative error of the measurement given the accepted value, , and the absolute error, ?

- A
- B
- C
- D
- E

**Q3: **

An experimental apparatus for measuring the acceleration due to
gravity produces an absolute error of
0.05 m/s^{2}. The apparatus is
used on two different planets. One planet has an accepted value for its
gravitational acceleration of
3.72 m/s^{2} and the other has an
accepted value for its gravitational acceleration of
8.87 m/s^{2}. Find
the difference between the percent relative errors of the measurements of
gravitational acceleration made by the apparatus on the two planets. Give your answer to one decimal place.

- A
- B
- C
- D
- E

**Q4: **

Which of the following is the correct formula for the value of the relative error of the measurement given the accepted value, and the measured value, ?

- A
- B
- C
- D
- E

**Q5: **

In an experiment, the atmospheric pressure at sea level on Earth is measured to be 101,150 Pa. Find the absolute error in the measurement using an accepted value of 101,325 Pa.

**Q6: **

In an experiment, the acceleration due to gravity at the
surface of the Earth is measured to be 9.90 m/s^{2}. Find the absolute
error in the measurement using an accepted value of 9.81 m/s^{2}.

**Q7: **

Which of the following is the correct definition of the accepted, or actual, value of a quantity?

- AThe most recently measured value of the quantity
- BThe value of the quantity the first time it was ever measured
- CThe average measured value of the quantity
- DThe value of the quantity when it is not altered by any measurement errors
- EThe value of the quantity that occurs most frequently when the value is measured

**Q8: **

In an experiment, the density of pure water at sea level on
Earth at a temperature of is
997.5 kg/m^{3}. Find the percent
relative error in the measurement using an accepted value of 1,000 kg/m^{3}.
Give your answer to one decimal place.

- A1.0%
- B0.4%
- C0.2%
- D5.0%
- E0.3%

**Q9: **

Which of the following is the correct formula for the value of the absolute error of a measurement, , given the accepted value, , and the measured value, ?

- A
- B
- C
- D
- E