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Calculate quartiles / IQR

Find Q1, median, Q3, and the interquartile range from a data set.

Also known as: calculate quartiles iqr calculator, iqr calculator, quartile calculator, calculate quartiles / iqr, statistics math, statistics calculate quartiles / iqr

Inputs

Results update when you click Calculate.

Interquartile range (IQR)

8.5000

  • Count7
  • Min3.0000
  • Max21.0000

Q1

7.5000

Median (Q2)

12.0000

Q3

16.0000

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What this result means

Find Q1, median, Q3, and the interquartile range from a data set. Q1 = 25th percentile, Q2 = median, Q3 = 75th percentile. IQR = Q3 − Q1.

Assumptions

  • Rule dependency: Universal formula.

How is it calculated?

Q1 = 25th percentile, Q2 = median, Q3 = 75th percentile. IQR = Q3 − Q1.

Example

For 3,7,8,12,14,18,21 → IQR = Q3 − Q1.

Frequently asked questions

Method?+

Uses linear interpolation between sorted data points.