Range
Difference between the largest and smallest value — the simplest measure of dispersion.
Also known as: span, R
The range is the difference between the maximum and minimum of a sample.
It is intuitive and quick to compute but extremely sensitive to outliers: a single extreme value can double the range without changing the actual spread of the bulk of the data. For robust estimates prefer the standard deviation or the interquartile range.
See also
Used in
- Histogram
- Boxplot
- Process Capability
- Hypothesis Test
- Regression Analysis
- Regression (Attributive)
- Correlation Analysis
- MSA Type 2
- DoE Planner
- DoE Advisor
- Sample Size
- Data Transformation
- Distribution Fit
- Calculator
- Outlier Test
- Multivariate Control Chart (Hotelling T²)
- Pairwise Comparison
- Control Chart
- Individual Value Plot
- XY Plot
- Probability Plot
- Run Chart
In the Algorithm Lab
Sources
- Montgomery, D.C.: Introduction to Statistical Quality Control, 8th ed., Wiley, 2020 — Kap. 6
- AIAG: Statistical Process Control (SPC) Reference Manual, 2nd ed., 2005