Calculadora de Percentil

Determine o percentil de um valor dentro de um conjunto de dados para análise estatística.

Estimated Value at Target Percentile

75.0000

Interpolation Fraction0.5000

Estimated Value at Target Percentile vs Value at Lower Rank

Formula

How to Estimate a Percentile by Interpolation

Formula

Value at P = Lower Value + Fraction * (Upper Value - Lower Value)

where Fraction = (Target Percentile - Lower Rank) / (Upper Rank - Lower Rank)

This linearly interpolates between two known ranked values. The kth percentile is the value below which k% of observations fall.

Exemplo Resolvido

The 40th percentile is 70 and the 60th percentile is 80. Estimate the 50th percentile.

  1. 01Fraction = (50 - 40) / (60 - 40) = 10 / 20 = 0.5
  2. 02Value at 50th percentile = 70 + 0.5 * (80 - 70)
  3. 03= 70 + 0.5 * 10 = 70 + 5 = 75

Perguntas Frequentes

What is a percentile?

The kth percentile is the value below which k percent of the data falls. The 90th percentile means 90% of observations are at or below that value.

How does this differ from a percentile rank?

A percentile value is the data value at a given rank. A percentile rank is the percentage of values at or below a given data value. They are inverse operations.

Is the 50th percentile the same as the median?

Yes. The 50th percentile and the median are the same concept: the value that splits the data into two equal halves.

Aprender

Understanding the Normal Distribution

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