Measurement Accuracy and Error Analysis

The video tutorial covers three interconnected concepts, focusing on the limit of reading, absolute error, and percentage error. Using examples, the teacher explains how to determine the limit of reading and calculate absolute and percentage errors. The significance of these errors in measurements is discussed, highlighting how they affect accuracy and precision. The tutorial emphasizes understanding these concepts to improve measurement accuracy.

What is the limit of reading if a measurement is recorded as 168 cm?

• 2 cm

• 0.5 cm

• 1 cm

• 0.1 cm

If a measurement is recorded as 168 cm, what is the possible range of the actual measurement?

• 168 cm to 169 cm

• 166.5 cm to 169.5 cm

• 167 cm to 169 cm

• 167.5 cm to 168.5 cm

How is the absolute error calculated from the limit of reading?

• It is the square of the limit of reading

• It is double the limit of reading

• It is half of the limit of reading

• It is the full limit of reading

What is the absolute error if the limit of reading is 1 cm?

• 0.5 cm

• 0.1 cm

• 1 cm

• 2 cm

How is percentage error calculated?

• Absolute error divided by the actual measurement, multiplied by 100

• Absolute error multiplied by the actual measurement

• Absolute error divided by the limit of reading

• Absolute error added to the actual measurement

What is the percentage error if the absolute error is 0.5 cm and the measurement is 168 cm?

• 0.2976%

• 0.168%

• 0.5%

• 1%

Why is percentage error considered more meaningful than absolute error?

• It does not require a calculator

• It is always smaller than absolute error

• It is easier to calculate

• It provides a relative measure of accuracy

If the absolute error is 1 meter, how does the percentage error change with different measurements?

• It decreases with larger measurements

• It increases with larger measurements

• It remains constant

• It becomes zero

What would be the percentage error if the absolute error is 1 meter and the measurement is 1.68 meters?

• Approximately 10%

• Approximately 60%

• Approximately 1%

• Approximately 5%

In which scenario is a 1-meter absolute error considered highly accurate?

• When measuring a book's length

• When measuring a person's height

• When measuring the circumference of the Earth

• When measuring a room's width