Understanding Absolute and Percentage Error

The video tutorial explains how to calculate absolute and percentage errors in measurements. It begins by defining the measured and actual lengths, then demonstrates the calculation of absolute error as the absolute difference between these values. The tutorial proceeds to explain percentage error, showing how to convert the absolute error into a percentage of the actual value. The video concludes with a summary of the errors calculated, emphasizing the importance of understanding these concepts in measurement accuracy.

What was the measured length in the problem?

• 6.8 feet

• 6.72 feet

• 7.0 feet

• 6.5 feet

What is the formula for calculating absolute error?

• V sub A times V sub E

• Absolute value of V sub A minus V sub E

• V sub A plus V sub E

• V sub E minus V sub A

What is the absolute error in the given measurement?

• 0.8 meters

• 0.8 feet

• 0.08 meters

• 0.08 feet

Why is it important to calculate the absolute error?

• To understand how far off a measurement is from the actual value

• To convert measurements to different units

• To determine the average of multiple measurements

• To find the exact value

What does an absolute error of 0.08 feet indicate?

• The measurement is 0.08 feet longer than the actual length

• The measurement is exact

• The measurement is 0.08 feet shorter than the actual length

• The measurement is 0.08 feet off from the actual length

What is the formula for calculating percentage error?

• Absolute value of V sub A minus V sub E divided by V sub E times 100

• V sub A minus V sub E divided by V sub E

• Absolute value of V sub A minus V sub E times 100

• V sub A plus V sub E divided by V sub E times 100

What is the percentage error in the measurement?

• 1.19%

• 1.9%

• 0.19%

• 2.19%

What does the percentage error tell us about a measurement?

• The exact value of the measurement

• How accurate the measurement is compared to the actual value

• The time taken to measure

• The unit of the measurement

Which of the following is NOT a step in calculating percentage error?

• Dividing by the exact value

• Subtracting the exact value from the measured value

• Multiplying by 100

• Adding the measured and exact values

What is the significance of multiplying by 100 in the percentage error formula?

• To increase the error value

• To convert the error into a decimal

• To convert the error into a percentage

• To find the average error