Question

The values of measurement of a physical quantity in five trial were found to be 1.51, 1.53, 1.53, 1.52, and 1.54.
Then
(1) Average absolute error is 0.01
(2) Relative error is 0.01.
(3) Percentage error is 0.01%
(4) Percentage erroris 1%
(multiple answers correct)

Answer 1

Absolute Error = +or- 0.004

Relative Error = ∆ā/ā = 0.02/7.63 = 0.003

Percentage error = ∆ā/ā × 100 = 0.3% (approximately)

(1), (2), (3) are close to the answers

Explanation:

Given,

a a - ā = ∆a

1.51 1.51 - 1.53 = -0.02

1.53 1.53 - 1.53 = 0

1.53 1.53 - 1.53 = 0

1.52 1.52 - 1.53 = -0.01

1.54 1.54 - 1.53 = 0.01

∑a= 7.63

ā = ∑a/n = 7.63/5 = 1.526 which approximately 1.53

∆ā = ∑ |∆ā| / n = | -0.02 + 0 + 0 - 0.01 + 0.01 | / 5

=0.02 / 5 = which is approximately equal to 0.004

Relative Error = ∆ā/ā = 0.02/7.63 = 0.00262....

Approximately = 0.003

Percentage error = ∆ā/ā × 100 = 0.3% (approximately)

These are the answers for the given values.

So, In the objective options given, the values closest can be selected since the exact value is not matching with the options.

So the Answer for your Question may be

(1), (2), (3) which are close to the answers whereas (4) is no where near the answer.