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Introduction to Average

observation i...

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observation in an experiment gave the values 1.29 , 1.33,1.34,1.35,1.32,1.36,1.30,and 1.33. calculate the mean value , absolute error relative error and percentage error.

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Q. Repeated observations in an experiment gave the values

1.29, 1.33, 1.34, 1.35, 1.32, 1.36, 1.30

1.33

. Calculate the mean value, absolute error, relative error, and percentage error.

Repeated observations in an experiment gave the values 1.29, 1.33, 1.34, 1.35, 1.32,1.36, 1.30 and 1.33. Find the relative error.

Q. In an experiment to measure focal length of a concave mirror, the values of focal length in successive observations are

17.3 c m

17.8 c m

18.3 c m

18.2 c m

17.9 c m

18.0 c m

. Calculate mean absolute error and percentage error. Express the result in a proper way.

Q. In an experiment, the values of refractive indices of glass were found to be 1.54, 1.53, 1.44, 1.54,1.56 and 1.45 in successive measurements.

Find the following:

i) Mean value of refractive index of the glass

ii) Mean absolute error

iii) Relative error

iv) Percentage error

Q. In an experiment for determining the value of acceleration due to gravity (g) using a simple pendulum, the following observations were recorded:
Length of the string (l) =

98.0

cm
Diameter of the bob (d) =

2.56

10

oscillations (T) =

20.0 s

Calculate the value of g with maximum permissible absolute error and the percentage relative error.

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