Lab Math | error propagation

Propagation of Uncertainty

Propagating uncertainty through addition/subtraction

if   $D = A+B-C$ , then   $UncD = √{{{({UncA})}^2}+{{({UncB})}^2}+{{({UncC})}^2}}$

Propagating uncertainty through multiplication/division

if   $D = (A) ({B/C})$ , then   $UncD = √{{{({UncA}/A)}^2}+{{({UncB}/B)}^2}+{{({UncC}/C)}^2}}$
or,   if   $P = ({K})({N})$ , then   $UncP = ({K})({UncN})$

Propagating uncertainty when averaging

if   $A = {1/n}∑↙{i=0}↖n X i_$ , then   $UncA = {UncX}/{√N}$

Propagating uncertainty when raising to an exponent

if   $A = {N^B}$ , then   $UncA = ({B})({UncN})$