The values of measurement of a physical quantity in five trails were found to be ` 1.51 , 1.53 , 1.53, 1.52 , and 1.54`.

Options

A. Average absolute error is `0.01`.
B. Relative error is `0.01.`
C. Percentage error is `0.01%`.
D. Percentage error is `1%`.

Answer

A, B, D

Explanation

Mean value ` = ( 1.51 + 1.53 + 1.53 + 1.52 + 1.54)/(5) = 1.53`
Absolute errors are `( 1.53 - 1.51 = 0.02)`,
`( 1.53 - 1.53 = 0.00) , ( 1.53 - 1.53) = 0.00)`,
`( 1.53 - 1.52 = 0.01 ) and ( 1.54 - 1.53 = 0.01)`
Mean absolute error is
`( 0.02 + 0.00 + 0.00 + 0.01 + 0.01)/(5) = ( 0.04)/( 5) = 0.008 ~~ 0.01`
So choice (a) is correct.
Relative error ` = ( 0.01)/( 1.53) = 0.00653 ~~ 0.01 % error = (0.01)/( 1.53) xx 100 `
` = 1%`