FLORIDA GEOLOGICAL SURVEY
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APPENDD: PROPAGATION OF ERRORS IN COMPU7NG
(compiled from formulations in Barry, 1978)
Where R is the result of some numerical AVERAGE operation (e.g., addition, subtraction, multiplication, division, power function, E + + + ...+ E average, etc.) for measured quantities N,, = n N2, N3,...,Nn, each with associated measurement errors E,, E2, Ez,. .. ,E, CONSTANT ERROR respectively, then the total error E,, is applied as: where E = E, = E2 = E3 =...= E,
R  E,, E = Era
where E, is determined according to: POWER
ADDITION OR SUBTRACTION where (R + EP)" = (N1 + Ej)m
E 2 + + +...+( E = E, Na'
PRODUCT OR QUOTIENT ROOT
E E2 2 E 2 where (R + E,)"m = (N, + E,)'"m E = R + + + E1 "'
N2 3 Et = m-1 E28
2 8