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Percentile Calculator

Math Calculators

Percentile rank PR · P25/P50/P75 quantiles · IQR

Quick Answer

Percentile Calculator: Percentile rank PR · P25/P50/P75 quantiles · IQR. Percentile Calculator uses standard math formulas to compute accurate results instantly.

Mode

Percentile rank PR54.2%
Strictly below (B)6
Equal (E)1
Sample size n12
Positionrank #7 of 12
Min62
Mean83
Q1 (P25)77.25
Q3 (P75)90.5
IQR (Q3 − Q1)13.25

How percentile works

  1. 1Sort the 12 values ascending.
  2. 2Count: B = 6 values strictly below 85, E = 1 equal to it.
  3. 3Percentile rank = (B + 0.5·E) / n × 100 = (6 + 1/2) / 12 × 100.
  4. 4Result: PR ≈ 54.2% — rank #7 of 12.

Common percentiles

PercentileMeaningTypical use
P1010% 的数据不超过此值筛查阈值 · 低分位预警
P25（Q1）下四分位数箱线图下缘 · 收入分布下限
P50（中位数）一半数据不超过此值收入/房价中位数 · 抗极端值
P75（Q3）上四分位数箱线图上缘 · 绩效优秀线
P9090% 的数据不超过此值选拔线 · 生长曲线高位
  • Percentile rank ≠ percentage score: PR 60 means "not lower than 60% of the data", not "60% correct".
  • Rank formula PR = (B + 0.5E)/n × 100 is the common corrected definition (SPSS-style); the simple B/n × 100 reads slightly lower.
  • Quantile values use Type 7 interpolation h = (n−1)p, matching Excel PERCENTILE.INC and R default; Excel PERCENTILE.EXC uses (n+1)p and can differ. The median is identical under both.
  • IQR = Q3 − Q1 is a robust spread measure; points outside Q1 − 1.5·IQR or Q3 + 1.5·IQR are usually flagged as potential outliers (boxplot whisker rule).

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How to Use

  1. Enter values or expressions: type directly into the Percentile Calculator — keyboard friendly.
  2. Instant results: everything computes live as you type, no button needed.
  3. Follow the steps: the result panel shows full working and formula substitution.
  4. Copy or recompute: one-click copy; change any input to recalculate instantly.

Key Points

  • Percentile Calculator is a free online math tool — open and use, no sign-up.
  • All calculations run locally in your browser; your data never leaves the device.
  • Key capability: Percentile rank PR · P25/P50/P75 quantiles · IQR.
  • Results come with formulas and reference tables so you can verify every number.

Formula & How It Works

Percentile Calculator formula

Percentile Calculator uses standard math formulas to compute accurate results instantly.

FAQ

How do I use the Percentile Calculator?
Open the page and fill in the input fields — results update automatically. Percentile rank PR · P25/P50/P75 quantiles · IQR.
Are the results accurate?
Yes. All calculations use standard mathematical formulas and are verified for accuracy.
Is it free? Do I need to sign up?
Completely free. No registration, login or download required — just open and use.
Does it work on mobile?
Yes. The responsive design works on phones, tablets and desktops.
Is my data saved?
No. All calculations run locally in your browser. Nothing is uploaded or stored.

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Source & Updates

Standard mathematical formulas. All logic verified. Last updated: 2025-07

Last updated:

Formulas and content on this page are reviewed by the YiJianSuan team. For reference only — official sources prevail.

Maintained and periodically reviewed by the YiJianSuan editorial team — review process in ourEditorial Policy.

Cite this page: YiJianSuan. Percentile Calculator[EB/OL]. https://www.yijiansuan.com/en/c/math/percentile

Results provided by this tool are for reference only and do not constitute professional advice.