Planos

Calculadora de quartis

Encontre o resumo dos cinco números de um conjunto de dados — mínimo, Q1, mediana, Q3 e máximo — mais o intervalo interquartil e os valores discrepantes para um diagrama de caixa.

Pelo menos 4 valores, separados por vírgulas ou espaços

Resultado

Digite os valores e toque em Calcular para ver o resultado.

Fórmula

IQR=Q3−Q1\text{IQR} = Q_3 - Q_1

The spread of the middle half of the data.

x<Q1−1.5 IQR  or  x>Q3+1.5 IQRx < Q_1 - 1.5\,\text{IQR} \ \text{ or } \ x > Q_3 + 1.5\,\text{IQR}

A value outside these fences is an outlier.

Como usar esta calculadora

  1. Enter at least 4 numbers separated by commas, spaces or new lines.
  2. Press Calculate to get the five-number summary, the IQR and any outliers.

Exemplo resolvido

Eight test scores

Sorted: 2, 4, 4, 5, 6, 7, 8, 30. The median is (5 + 6) ÷ 2 = 5.5.

Lower half 2, 4, 4, 5 gives Q1 = 4; upper half 6, 7, 8, 30 gives Q3 = 7.5.

IQR = 7.5 − 4 = 3.5. The fences are −1.25 and 12.75, so 30 is an outlier.

Perguntas frequentes

Why does my spreadsheet give different quartiles?

There are several quartile methods. Sumzo uses the median-of-halves method taught in most schools; spreadsheet functions such as QUARTILE often interpolate instead.

Is the median included in the halves?

No. With an odd number of values the middle one is left out of both halves.

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