Question

Percentage error is calculated using-
1. Absolute error
2. Instrumental error
3. Least count error
4. Relative error

Answer 1

Correct Answer - Option 4 : Relative error

CONCEPT:

• Error: It is the Uncertainty in measurement by any measuring instrument.
• Error in measurement can be broadly classified as:

1. Systematic errors
2. Random errors.

• Systematic errors are those that tend to be in one direction, either positive or negative.
• Random errors are those errors that occur irregularly and are random with respect to sign and shape.
• The least count error is basically associated with the resolution of the instrument.

EXPLANATION:

The percentage error is calculated using relative error:

⇒ Percentage error = Relative error × 100

• The relative error is the ratio of mean absolute error to the mean value of the quantity measured.
• Absolute error is the magnitude of difference between individual measurement and the true value of the quantity being measured.
• The least count error is basically associated with the resolution of the instrument.
• Instrumental errors occur due to wrong calibration or imperfect design of the measuring instrument. 

Hence option 4) is correct.