Quartiles Calculator
Calculate Q1, the median (Q2), and Q3 of a dataset.
Description
Calculate Q1, the median (Q2), and Q3 with the inclusive median-of-halves method.
Quartiles Calculator is a focused tool for the following task. Calculate Q1, the median (Q2), and Q3 with the inclusive median-of-halves method. It reports Quartiles from the values you provide rather than inventing measurements, coefficients, or professional judgment that are not part of the input.
When to use Quartiles
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
How Quartiles works
Calculate Q1, the median (Q2), and Q3 with the inclusive median-of-halves method. Inputs are interpreted exactly in the displayed units and the calculation returns the following fields without presentation rounding.
- Quartiles
- Returned list.
Limitations and assumptions
- 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.
Alternative or Complementary approaches
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.
References
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Statistics — Wikipedia contributors
Similar or alternative tools
- Inclusive Quartiles Calculator
Calculate Q1, Q2, and Q3 by including the median in both halves of an odd-sized dataset.
- Interquartile Range Calculator
Calculate Q3 minus Q1 with the inclusive median-of-halves quartile method.
- Interquartile Mean Calculator
Calculate the mean of the values between the inclusive first and third quartiles, ignoring outside extremes.