Percentile Rank Calculator

A percentile rank tells you what percentage of a data set falls below a particular value. A score at the 80th percentile is higher than about 80% of the scores. This calculator sorts the data, counts values below and equal to yours, counts half of any ties, and highlights where your value sits.

Try:

How to use the percentile rank calculator

  1. Type or paste the data values.
  2. Enter the value you want to rank.
  3. Press Calculate to see its percentile rank.

Formula

PR=B+0.5En×100PR = \frac{B + 0.5E}{n} \times 100

Worked example: Score 78 in a class

  • Data values: 55, 61, 64, 68, 70, 72, 75, 78, 81, 85, 88, 93
  • Value to rank: 78

✓ Answer checked

Percentile rank=62.5\text{Percentile rank} = 62.5
Values below / equal / above
7 / 1 / 4
Meaning
78 is higher than about 62.5% of the data.
0204060801: 5512: 6123: 6434: 6845: 7056: 7267: 7578: 7889: 81910: 851011: 881112: 9312
Sorted data: blue bars are below the value, red bars equal it, purple bars are above.
Step-by-step working (2 steps)

  1. Count below and equal

    Sort the data and count values below and equal to the one you are ranking.

    below=7,  equal=1,  n=12\text{below} = 7,\; \text{equal} = 1,\; n = 12

  2. Percentile rank formula Percentile rank

    Values below, plus half of the ties, as a percentage of all values.

    7+0.5×112×100=62.5\frac{7 + 0.5 \times 1}{12} \times 100 = 62.5
Formulas used
PR=B+0.5En×100PR = \frac{B + 0.5E}{n} \times 100
How this was checked
  • ✓ The percentile ranks from below and from above add up to exactly 100.

Uses the "below plus half of ties" definition; other conventions differ slightly.

Frequently asked questions

What does the 75th percentile mean?

About 75% of the values are below it.

Is a percentile the same as a percentage score?

No. Scoring 70% on a test is about marks; being at the 70th percentile means beating about 70% of people.

Why count half of the ties?

It places a value in the middle of any group of equal values, which is a fair, common convention.

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