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Statistics

Top share at or above a rank

The complement of the rank, reporting the fraction of the group at or above the position rather than below it.

The Formula

top share = rank / n

The complement of the rank, reporting the fraction of the group at or above the position rather than below it.

SymbolMeaning
rankPosition counting down from the top
nSize of the group

What Each Symbol Means

rankcount

Position counting down from the top

12 in the worked case, meaning 11 values sit above and one is the value itself.

ncount

Size of the group

250 here, giving 12 / 250 = 0.048.

See It Worked With Real Numbers

A formula on its own does not tell you which number goes where. The how to calculate a percentile rank page applies this equation to a concrete case, shows every intermediate step, and names the mistakes that produce a wrong answer even when the algebra is right.

Where This Formula Appears

This equation is the working core of How To Calculate A Percentile Rank, filed under Education. Every number the guide produces comes from substituting into this one line.