Use this calculation to reproduce a defined quantitative method when the observations, units, sampling process, and assumptions match the method shown here.

Values

Required list.

The cited overview of Statistics supplies background for the terminology and domain context used by this tool.^[1]

Calculate Q1, Q2, and Q3 by including the median in both halves of an odd-sized dataset. Inputs are interpreted exactly in the displayed units and the calculation returns the following fields without presentation rounding.

Inclusive quartiles

Returned list.

• A numerical result does not by itself establish data quality, causation, representativeness, independence, distributional fit, or practical significance.
• Use finite inputs in the displayed units, preserve source measurements and assumptions, and independently verify consequential decisions.

Inspect the underlying data, visualize its distribution, report uncertainty and sample size, and compare the result with a robust or domain-specific method where appropriate.

• Quartiles Calculator

  Calculate Q1, the median (Q2), and Q3 with the inclusive median-of-halves method.

• Interquartile Range Calculator

  Calculate Q3 minus Q1 with the inclusive median-of-halves quartile method.

• Midhinge Calculator

  Calculate the midpoint of the inclusive first and third quartiles of a dataset.