Q
Quartile Calculator
The three cut points that split your sorted data into four equal parts.
Result…
How it's calculated
Linear interpolation: Qk at position 1 + (n − 1) × k ÷ 4 in the sorted data Median of halves: Q1 and Q3 = medians of the lower and upper halves
A quarter of the data lies below Q1, half below Q2 (the median) and three quarters below Q3. Quartiles and percentiles use linear interpolation between the closest ranks by default (R type 7, Excel PERCENTILE.INC / QUARTILE.INC); the median-of-halves method taught in many courses and used by TI-83/84 calculators can give slightly different values for small data sets, so it is offered as an option for quartiles.
Your numbers, step by step
More in Statistics & Probability
σStandard deviationHow spread out your numbers are around their mean, for a sample or a whole population.Top 100 · #59Open →s²VarianceThe average squared distance of your numbers from their mean.Top 100 · #60Open →PProbabilityThe chances of both, either, or neither of two independent events happening.Top 100 · #61Open →nCrCombinationsHow many ways to choose r items from n when the order does not matter, exactly.Top 100 · #62Open →nPrPermutationsHow many ordered arrangements of r items can be taken from n, exactly.Top 100 · #63Open →CIConfidence intervalThe range that likely holds the true mean, from a sample mean, standard deviation and size.Top 100 · #64Open →