Tukey Outlier Fences Calculator
Calculates inner Tukey fences from interpolated quartiles and identifies observations outside them. The worked condition keeps the method and source values visible for an independent check.
Describe the observed sequence during an independent check
Tukey outlier fences
The quantity this page defines before reporting in this example
Recalculate one intermediate quantity from Q1−1.5 IQR and Q3+1.5 IQR and work back from the displayed answer. The source values should be enough for another analyst to reproduce tukey outlier fences.
Use a boundary case when possible: equal values, a probability near zero, a window of two, or a rate of zero. Expected limiting behavior is often more informative than another decimal place. The chosen tukey outlier fences convention remains attached to the source record. Before reusing this result, write down the observed scale, model boundary, and convention behind the displayed value. That record separates a changed dataset from a changed definition and gives the next analyst a clear route back to the original calculation.
Where the method applies under the stated model
The number answers one statistical question. It does not establish causation, model fit, representativeness, or a useful decision threshold by itself. The page-specific quantity is tukey outlier fences.
Practical meaning depends on the measurement scale and consequences. State the comparison or benchmark before presenting tukey outlier fences as evidence. Before reusing this result, write down the observed scale, model boundary, and convention behind the displayed value. That record separates a changed dataset from a changed definition and gives the next analyst a clear route back to the original calculation.
Keeping a reproducible record when the sample changes in this example
The fences are a descriptive screening rule, not proof that a value is erroneous or generated by another population. Outliers, dependence, extrapolation, seasonality, or a mismatched convention can change the appropriate method. The page-specific quantity is tukey outlier fences.
Choose an alternative because the design or data require it, not because its result is more favorable. Preserve the selected convention in the report. The chosen tukey outlier fences convention remains attached to the source record.
What the statistic can support during an independent review in this example
Save the entered values, units, formula version, exclusions, and unrounded output with tukey outlier fences. A copied number without its condition is not reproducible.
Round after downstream calculations are complete. Extra digits cannot repair a biased sample, unstable fit, or unsupported distributional assumption. The chosen tukey outlier fences convention remains attached to the source record.
The reference quantity at the chosen parameters
Construct a second plausible scenario that changes one uncertain input while keeping the rest coherent. Compare the statistic and practical interpretation across both cases. The page-specific quantity is tukey outlier fences.
If a small defensible change reverses the conclusion, report the sensitivity rather than hiding it behind one preferred scenario. The chosen tukey outlier fences convention remains attached to the source record.
A controlled alternative before comparing methods
Calculates inner Tukey fences from interpolated quartiles and identifies observations outside them. The displayed relationship is Q1−1.5 IQR and Q3+1.5 IQR, and each symbol is tied to a labeled field. The page-specific quantity is tukey outlier fences.
The example has inner fences near 6.0 and 36.0, so no value is flagged. This example is a numerical check, not proof that the model describes every dataset. The chosen tukey outlier fences convention remains attached to the source record.
For another time-series question, compare quantile rank and adjusted boxplot fences.
The scale of the output when the result is reused
The fences are a descriptive screening rule, not proof that a value is erroneous or generated by another population. The page-specific quantity is tukey outlier fences.
The unit of analysis, time order, sample boundary, and treatment of ties or missing values remain outside the answer unless they are entered. Keep those choices beside this robust result. The chosen tukey outlier fences convention remains attached to the source record.
What changes when an input moves in the worked condition in this example
Check scales and domains before evaluating tukey outlier fences. Counts, probabilities, rates, windows, and squared units are not interchangeable merely because a field accepts a number.
If one input changes, predict the direction of the result from the formula first. That catches reversed groups, invalid windows, and parameterization errors. The chosen tukey outlier fences convention remains attached to the source record.
Before reporting this result during an independent check
For a new sample, what belongs in the saved record for this calculation?
Preserve the source data, formula convention, units, exclusions, and method version. The reported quantity here is tukey outlier fences.
For this result, what should be checked before reusing this result before reporting?
Keep the inputs, units, method name, exclusions, and unrounded output together. The reported quantity here is tukey outlier fences.
When inputs change, why might another program return a different number before reporting?
Parameterization, interpolation, tie rules, window placement, and rounding can differ. The reported quantity here is tukey outlier fences.
Before drawing a conclusion, when should the calculation be repeated for this calculation?
Repeat it when an input, sample boundary, time window, or model assumption changes. The reported quantity here is tukey outlier fences.