Use our free online Quartile Calculator to quickly determine the first quartile (Q1), median (Q2), third quartile (Q3), and the Interquartile Range (IQR) for any given set of numerical data. Analyze data distribution, identify central tendencies, and understand variability effortlessly for statistics, finance, research, or academic purposes. Simply enter your data points, and get instant, accurate results.
Formula:
To calculate quartiles (Q1, Q2, Q3) for a dataset, follow these steps:
- First, sort the data in ascending order.
- Q2 (Median): Find the middle value of the entire sorted dataset. If there are two middle values (even count), it's their average.
- Q1 (First Quartile): Find the median of the lower half of the dataset (all values before Q2). If the total count is odd, Q2 is excluded from the lower half.
- Q3 (Third Quartile): Find the median of the upper half of the dataset (all values after Q2). If the total count is odd, Q2 is excluded from the upper half.
- Interquartile Range (IQR): Calculate IQR = Q3 - Q1.