Quartiles Calculator

All statistics tools

Analyze how your data is distributed by splitting it into four equal parts.

Input Dataset

Data Points

Enter numbers separated by commas or spaces.

Statistical Analysis

Q117.50

Median (Q2)30.00

Q342.50

Interquartile Range (IQR)25.00

Lower Fence-20.00

Upper Fence80.00

Data Points9

Range40.00

About this calculator

Overview

Quartiles are values that divide a data set into four equal parts or quarters. They are a type of quantile used in statistics to understand the spread and centers of data.

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Pro Tips

At least 4 data points are required for a meaningful quartile calculation.
Q1 represents the 25th percentile, Q2 the 50th (Median), and Q3 the 75th.
Fences (Lower and Upper) help identify potential outliers in your dataset.

Fun Facts

"Quartiles are the foundation of the Box and Whisker plot, a standard way of displaying data distribution."
"The Interquartile Range (IQR) is more robust to outliers than the standard range."
"In a perfectly normal distribution, the Mean, Median, and Mode are all equal to Q2."

Formula: Q1 = 0.25(n+1), Q2 = 0.5(n+1), Q3 = 0.75(n+1)