Percentile Rank Calculator

Why different calculators can give different percentile ranks

Lynara uses its own midrank convention: (values below + ½ × values equal) ÷ n × 100. For 55, 60, 65, 70, 70, 80, 85, 90, 95, 100 with target 70, three values are below and two are equal, so the displayed rank is (3 + 1) ÷ 10 = 40th percentile rank.

A strictly-below convention would give 30 for the same data, while an at-or-below convention would give 50. There is no reason to hide that methodological choice, so report the convention when the exact percentile definition matters.

A percentile rank is a position within a comparison set, not the percentage of questions answered correctly. A target below every observed value returns 0 and a target above every value returns 100 under Lynara’s convention.

Small samples move in large percentile steps, and official test percentiles may use a national norm group rather than a classroom list. Those values can legitimately differ from an empirical class percentile.

Hyndman and Fan (1996) document that statistical software uses multiple sample-quantile conventions; Lynara’s midrank formula is a product convention for tied empirical ranks, not a claim that the paper prescribes this exact rule.

Privacy: calculator inputs are processed in your browser; Lynara does not need to upload these values to calculate the result.

Formula

percentile rank = (values below + 0.5 × values equal) ÷ n × 100

Example

In 10, 20, 20, 30, the target 20 has percentile rank 50% by the stated midrank rule.

Useful for

• Statistics homework
• Score-position checks
• Descriptive data ranking

Supporting guides

• Percentile Rank Midrank Guide