# Physics307L:Schedule/Week 6 agenda/Uncertainties

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Steve Koch 11:31, 4 October 2010 (EDT): In 2010, Koch was absent for lecture and both lab sessions due to a nasty cold / bronchitis.

## 2009 Below

## 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.