From a1a9689bd8f1ce76428cfb6529bdb45ad70a3323 Mon Sep 17 00:00:00 2001 From: zleyyij Date: Tue, 12 Dec 2023 14:28:14 -0700 Subject: [PATCH] vault backup: 2023-12-12 14:28:14 --- education/statistics/Measurement Error.md | 12 ++++++++---- 1 file changed, 8 insertions(+), 4 deletions(-) diff --git a/education/statistics/Measurement Error.md b/education/statistics/Measurement Error.md index f5795fe..a6848ea 100644 --- a/education/statistics/Measurement Error.md +++ b/education/statistics/Measurement Error.md @@ -8,12 +8,16 @@ Chance errors *change from measurement to measurement but average out over time* - 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 -``` +$$ IndividualMeasurement = ExactValue + ChanceError $$ +# Outliers +Histograms of repeated measurements tend to follow the normal curve. + +According to the empirical rule, 99.7% of such measurements should be within 3σ of the exact value. + +$$ $ # Terminology | Term | Definition | | -- | -- | | Best Guess | Average/Mean | -| Off by how much | standard deviation | +| Off by how much/Give or take | standard deviation |