百分位数计算器
计算数据集中指定百分位数的值。
Estimated Value at Target Percentile
75.0000
Estimated Value at Target Percentile vs Value at Lower Rank
公式
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.
计算示例
The 40th percentile is 70 and the 60th percentile is 80. Estimate the 50th percentile.
- 01Fraction = (50 - 40) / (60 - 40) = 10 / 20 = 0.5
- 02Value at 50th percentile = 70 + 0.5 * (80 - 70)
- 03= 70 + 0.5 * 10 = 70 + 5 = 75
常见问题
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.
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