How to use the quartiles and iqr calculator
Find Q1, Q3, interquartile range and outlier fences. Enter data values in the field above; the minimum, q1, median, q3, maximum, iqr, lower fence, upper fence are computed instantly and plotted on the chart so you can see how the answer changes.
Common searches this calculator answers include “box plot”, “outliers”, “five number summary”, “calculate quartiles and iqr”, “find minimum”.
Formula
Variables
- d — Data values
Worked example
With data values = 1,3,5,7,9,11,14,15,18,40, the calculator gives minimum ≈ 1; q1 ≈ 5.5; median ≈ 10; q3 ≈ 14.75; maximum ≈ 40; iqr ≈ 9.25; lower fence ≈ -8.375; upper fence ≈ 28.625.
Frequently asked questions
What is the quartiles and iqr calculator used for?
Find Q1, Q3, interquartile range and outlier fences. It helps with questions such as “box plot”, “outliers”, “five number summary”.
What is the formula for the quartiles and iqr calculation?
Minimum = lo(d). Q1 = quant(d,0.25). Median = med(d). Q3 = quant(d,0.75). Maximum = hi(d). IQR = [Q3]-[Q1]. Lower fence = [Q1]-1.5 × [IQR]. Upper fence = [Q3]+1.5 × [IQR]. Here d is data values.
What inputs do I need for the quartiles and iqr calculator?
You need data values. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.
How do I use the quartiles and iqr calculator?
Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.
Is the quartiles and iqr result exact?
Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.