Percentile Formula

Percentile is used in tests and scores of a candidate to show where he stands with reference to other candidates.  Percentile of the value ‘x’ is calculated by the ratio of the number of values below ‘x’ to the total number of values. Percentiles can also be calculated for weight, income and many other things.

The Percentile Formula is given as,

\[\large Percentile=\frac{Number\;of\;Values\;Below\;x}{Total\;Number\;of\;Values}\times 100\]

Solved Examples

Question: The scores for student are 40, 45, 49, 53, 61, 65, 71, 79, 85, 91. What is the percentile for score 71?


No. of. scores below 71 = 6
Total no. of. scores = 10
The formula for percentile is given as,

Percentile = $\frac{No. of values below x}{Total no. of values}$ $\times$ 100

Percentile of 71

=$\frac{6}{10}$ $\times$ 100

=  0.6 $\times$ 100 = 60


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Which of the following metals was used in alpha ray scattering experiment conducted by Rutherford?