A Statistical Background
Last update: Thu Oct 22 16:46:28 2020 -0500 (54a46ea04)
A.1 Basic statistical terms
A.1.1 Five-number summary
The five-number summary consists of five values: minimum, first quantile, second quantile, third quantile, and maximum. The quantiles are calculated as:
- first quantile (\(Q_1\)): the median of the first half of the sorted data
- third quantile (\(Q_3\)): the median of the second half of the sorted data
First quantile: 25th percentile. Second quantile: 50th percentile. Third quantile: 75th percentile.
The interquartile range or
IQR is defined as \(Q_3 - Q_1\) and is a measure of how spread out the middle 50% of values is.