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Q.

The average speed of a train is measured by 5 students. The results of measurements are given below

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a

2.6%

b

3.5%

c

4.5%

d

5.5%

answer is A.

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Detailed Solution

Mean value,vm=10.2+10.4+9.8+10.6+10.85

=51.85=10.4  ms1

Δv1=vmv1=10.410.2=0.2

Δv2=vmv2=10.410.4=0.0

Δv3=vmv3=10.49.8=0.6

Δv4=vmv4=10.410.6=0.2

Δv5=vmv5=10.410.8=0.4

Mean absolute error,

Δv¯=|Δv1|+|Δv2|+|Δv3|+|Δv4|+|Δv5|5

=0.2+0.0+0.6+0.2+0.45=1.45=0.28  ms1

Relative error =±Δv¯vm=±0.2810.4

Percentage error =±Δv¯vm×100=±0.2810.4×100=±2.6%

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