Quartile Calculator
Compute the three quartiles (Q1, Q2, Q3) from five pre-sorted data values.
Q2 (Median)
30.0000
Q2 (Median) vs Value 1 (Min)
Formula
## 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%.
Esempio Risolto
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
Domande Frequenti
What do quartiles represent?
Q1 is the value below which 25% of data falls, Q2 (the median) below which 50% falls, and Q3 below which 75% falls. They divide the sorted data into four equal-sized groups.
Are there different methods to compute quartiles?
Yes. Different software uses different interpolation methods (e.g., inclusive vs. exclusive). The results can differ slightly depending on the method, especially for small datasets.
How do quartiles relate to percentiles?
Q1 is the 25th percentile, Q2 is the 50th percentile, and Q3 is the 75th percentile. Quartiles are specific percentile landmarks.
Impara