# Physics307L F09:Schedule/Week 6 agenda/Uncertainties

From OpenWetWare

## Key today: Need to assign some uncertainty to every reported measurement

### Rough estimates are a great start! (and sometimes only way)

## Probability density functions -> Cumulative distribution functions

## Central limit theorem review

## Central limit theorem part II

## Mean +/- standard error of the mean

### aka "standard error", "standard deviation of the mean"

### From a collection of measurements

#### What is the best estimate of the "true value"?

#### What is the best estimate of the standard deviation of the parent distribution?

#### What is the best estimate of the standard error of the mean?

## Central Limit Theorem Part II

- Central limit theorem (I): (Last week) distribution of averaged measurments ... (II): distribution of single measurement as a result of a bunch of small, independent, random errors.