# Propagation of Error

### Introduction

The error, f, in a final result, F, derives from the error in each measurement or number (x, y,...) used to get that result. The error in a result, F±f, for F = *f*(x,y,...) is found from:
f = (*d*F/*d*x) e_{x} + (*d*F/*d*y) e_{y} + ...

where *d*F/*d*x is the partial derivative of F with respect to x, and e_{x} is the uncertainty in x.

### Example Calculations

under construction

### Related topics:

### Further Information

/chem-ed/data/err-prop.htm, updated 10/14/96

Copyright © 1996 by Brian M. Tissue, all rights reserved.

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