Calculadora de Cuartiles Gratis

Calcula los cuartiles Q1, Q2 y Q3 de tu conjunto de datos para analizar la distribución.

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)

Fórmula

## 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%.

Ejemplo Resuelto

Find the quartiles of the sorted dataset: 10, 20, 30, 40, 50.

  1. 01Q2 (Median) = v3 = 30
  2. 02Lower half: 10, 20 → Q1 = (10 + 20) / 2 = 15
  3. 03Upper half: 40, 50 → Q3 = (40 + 50) / 2 = 45
  4. 04IQR = 45 - 15 = 30

Preguntas Frecuentes

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.

Aprender

Understanding the Normal Distribution

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