Please i need some help in absolute and relative error?
If x=2.5 and y=1.8 both corrected to 1 decimal place calculate the absolute and relative of X+Y corected to 2 decimal places.
Answer:
Absoute error is either the error which must be assumed by rounding (± half the unit value of the last digit) or the sum of the errors of a group of numbers. Relative error is the absolute error divided by the base value, usually expressed as a percent.
2.5 = 2.5 ± 0.5 (absolute) = 2.5 ± 20.0% (relative)
2.55+ would round to 2.56 and 2.45- would round to 2.40
1.8 = 1.8 ± 0.5 (absolute) = 1.8 ± 27.8% (relative)
Arithmetically,
x + y =
4.30 ± 1.00 (absolute) = 4.30 ± 23.26% (relative)
Statistically,
x + y =
4.30 + 0.71 (absolute) = 4.30 ± 16.44%
Introduction of a second decimal place is a mathematiclly invalid operation, since it implies a greater accuracy than actually exists.
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