MATH ERRORS
ERRORS
✤ ERROR: It is difference blw actual value & measured value.
Error = Actual Value - Measured Value
✤ TYPES OF ERROR
① AVERAGE ERROR : det x₁, x₂, x₃ ..... xₙ
then Avg Error = x₁ + x₂ + x₃ ..... xₙ / n
② ABSOLUTE ERROR : It is the +ve difference b/w Error & Avg
Error.
Δx₁ = |x₁ - x̄|
③ MEAN ABSOLUTE ERROR = Δx₁ + Δx₂ ..... Δxₙ / n
(ā)
④ RELATIVE ERROR : It is the ratio of mean absolute error & avg
error
ar = ā / x̄
⑤ PERCENTAGE ERROR = ar x 100
= ā / x̄ x 100
Representation of Physical Quantity :-
A = a ± Δa
↓
actual length.
ALGEBRA OF ERROR
① ADDITION RULE :- A = a ± Δa
B = b ± Δb
A+B = (a+b) ± (Δa+Δb)
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