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education/statistics/Measurement Error.md
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@ -6,3 +6,14 @@ Bias *affects all measurements the same way, making them all too large or too sm
## Chance error ## Chance error
Chance errors *change from measurement to measurement but average out over time*. There is no way to remove all chance errors from a measuring process. An example of chance error would be starting a stopwatch then attempting to stop it at exactly 5 seconds, then repeating. The times will vary, but each measurement will vary in a different way. Chance errors *change from measurement to measurement but average out over time*. There is no way to remove all chance errors from a measuring process. An example of chance error would be starting a stopwatch then attempting to stop it at exactly 5 seconds, then repeating. The times will vary, but each measurement will vary in a different way.
- Chance error is how much an individual measurement varies from the exact value. It can be positive or negative.
- The standard deviation of repeated measurements gives us the expected size of a chance error
```
individual measurement = exact value + chance error
```
# Terminology
| Term | Definition |
| -- | -- |
| Best Guess | Average/Mean |
| Off by how much | standard deviation |