Rahul measured the height of Ramesh in different trials as 1.67 m, 1.65m , 1.64m & 1.63m. Find absolute
error, relative error and percentage error
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Given :
Data of measured height
1.67 m, 1.65m , 1.64m & 1.63m
To find :
• Absolute error
• Relative error
• Percentage error
Solution :
Mean value, X = 1.67 m + 1.65m + 1.64m + 1.63m/4
X = 1.6475 = 1.65 approx
• For Absolute error,
Absolute error = | measured value - actual value |
∆x1 = | 1.67 - 1.65 | = 0.02
∆x2 = | 1.65 - 1.65 | = 0
∆x3 = | 1.64 - 1.65 | = 0.01
∆x4 = | 1.63 - 1.65 | = 0.02
• For Relative error,
Relative error = Absolute error / actual value
dx1 = 0.02 / 1.65 = 0.012
dx2 = 0
dx3 = 0.01 / 1.65 = 0.006
dx4 = 0.02 / 1.65 = 0.012
• For Percentage error,
Percentage error = relative error × 100
p1 = 0.012×100 = 1.2
p2 = 0
p3 = 0.006×100 = 0.6
p4= 0.012×100 = 1.2
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