Percentile Rank When Values Repeat

Distributions & ShapeMedium+20 XP+20

Twenty-five students sit a test. Their scores, sorted, are:

$51,\ 55,\ 58,\ 60,\ 60,\ 63,\ 65,\ 67,\ 68,\ 70,\ 70,\ 70,\ 72,\ 74,\ 75,\ 76,\ 78,\ 80,\ 80,\ 82,\ 85,\ 88,\ 90,\ 93,\ 96$

Use the percentile-rank definition from this course:

$\text{percentile rank of } x = \frac{\text{count of values} \le x}{\text{total count}} \times 100$

What is the percentile rank of the score 70?

See relative standing and how quantiles slice ordered data.

Percentile Rank

Click a value on the number line to see what percentage of the dataset falls at or below it.

At or below 60

15 / 20

Percentile rank

≈ P75

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