# 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/s2. The apparatus is used on two different planets. One planet has an accepted value for its gravitational acceleration of 3.72 m/s2 and the other has an accepted value for its gravitational acceleration of 8.87 m/s2. 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/s2. Find the absolute error in the measurement using an accepted value of 9.81 m/s2.

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/m3. Find the percent relative error in the measurement using an accepted value of 1,000 kg/m3. 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