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Percentile, Quartile, and Box Plot Calculator

Summarize ordered values, calculate a percentile, and flag 1.5×IQR outliers.

Your inputs

2–500 numeric values. Outlier fences are descriptive flags; no inference or error diagnosis. Quartile methods vary.

Your calculation

Result

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How to use this calculator

Enter at least two numbers; set a percentile and rank threshold.

Formula and method

Type-7 quantile interpolates at 1+(n−1)p. IQR=Q3−Q1; fences Q1−1.5IQR and Q3+1.5IQR. Rank counts values ≤ threshold.

Worked example

For 1,2,3,4,5,6,7,20, median=4.5; Q1=2.75; Q3=6.25; IQR=3.5; 20 is flagged.

Assumptions and supported scope

2–500 numeric values. Outlier fences are descriptive flags; no inference or error diagnosis. Quartile methods vary.

Method references

Method and worked example checked against the calculator implementation. About our methods · Report a correction

Keep exploring

Try another calculator with clear working.

Ratio and Proportion Calculator →

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