Question

The refractive index of glass is found to have values 1.45, 1.44, 1.54, 1.56, 1.53, 1.54 respectively. Calculate (1)mean value of refractive index, (2)mean absolute error,(3) relative error. Express the result in terms of absolute error and percentage error.​

Answer 1

Explanation:

Mean=

6

1.54+1.53+1.44+1.54+1.56+1.45

=1.51

∣Mean absolute error∣=

6

1

∑(

x

1

ˉ

−

x

ˉ

)

2

=0.04

Relative error=

Mean

Absolute error

=

1.51

0.04

=0.026≈0.03

% error= Relative error×100=3%

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