Quartiles & IQR Calculator
Calculate quartiles, interquartile range, detect outliers, and visualize data with box plots.
Enter numbers separated by commas (e.g., 1, 2, 3, 4, 5)
Ergebnisse
Geben Sie Werte ein und klicken Sie auf Berechnen, um das Ergebnis zu sehen.
Theory & Formula
What are Quartiles?
Quartiles divide the data into four equal parts. They help identify the distribution and spread of data.
The Three Quartiles
• Q1: Q1: 25th percentile (25% of data below this value)
• Q2: Q2: 50th percentile (median, 50% of data below this value)
• Q3: Q3: 75th percentile (75% of data below this value)
Interquartile Range (IQR)
\(IQR = Q_3 - Q_1\)
IQR measures the spread of the middle 50% of data
Outlier Detection
Values outside 1.5 × IQR from Q1 or Q3 are considered outliers
\(\text{Lower bound} = Q_1 - 1.5 \times IQR\)\(\text{Upper bound} = Q_3 + 1.5 \times IQR\)