Free Quartile Calculator
Compute the three quartiles (Q1, Q2, Q3) from five pre-sorted data values.
Q2 (Median)
30.0000
Q1 (25th Percentile)15.0000
Q3 (75th Percentile)45.0000
IQR (Q3 - Q1)30.0000
Q2 (Median) vs Value 1 (Min)
How to Compute Quartiles
Steps (for 5 sorted values)
1. Q2 (Median): The middle value (3rd of 5) 2. Q1: Median of the lower half (values 1 and 2), so Q1 = (v1 + v2) / 2 3. Q3: Median of the upper half (values 4 and 5), so Q3 = (v4 + v5) / 2
Quartiles divide the sorted dataset into four equal parts. Q1 separates the lowest 25%, Q2 is the median, and Q3 separates the lowest 75%.
Example Calculation
Find the quartiles of the sorted dataset: 10, 20, 30, 40, 50.
- 01Q2 (Median) = v3 = 30
- 02Lower half: 10, 20 → Q1 = (10 + 20) / 2 = 15
- 03Upper half: 40, 50 → Q3 = (40 + 50) / 2 = 45
- 04IQR = 45 - 15 = 30
Frequently Asked Questions
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