How this calculation works
Compare a single suspected extreme value with a supplied Grubbs critical value.
G=|x−x̄|/sA worked example
A deviation of 6 at a sample standard deviation of 2 gives G=3.
Good to know
Mean and sample standard deviation must include the suspected outlier. The test assumes approximate normality.
Reference: OpenStax Introductory Statistics (opens in a new tab) ↗
Read the result
Compare a single suspected extreme value with a supplied Grubbs critical value.
The primary result is labeled “Grubbs statistic”. Keep the input definitions in view when comparing this result with another method.
Try a related calculation
Mean and sample standard deviation must include the suspected outlier. The test assumes approximate normality.
For a related exercise, try the statistics calculator.
A few questions, answered
How can I check the default inputs by hand?
A deviation of 6 at a sample standard deviation of 2 gives G=3.
Which rule does this calculator apply?
G=|x−x̄|/s