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Percentiles Help (page 3)

By — McGraw-Hill Professional
Updated on Aug 26, 2011

Practice 2

If you happen to be among the students taking this test and you score 33, what is your percentile rank?

Solution 2

Checking the table, you can see that 800 students have scores less than yours. (Not less than or equal to, but just less than!) This means, according to the second definition above, that t = 800. Then the tentative percentile p* is:

    p* = 100 × 800/1000
        = 100 × 0.8
        = 80

This is a whole number, so rounding it to the nearest whole number between 1 and 99 gives us p = 80. You are in the 80th percentile.

Practice 3

If you happen to be among the students taking this test and you score 0, what is your percentile rank?

Solution 3

In this case, no one has a score lower than yours. This means, according to the second definition above, that t = 0. The tentative percentile p* is:

    p* = 100 × 0/1000
        = 100 × 0
        = 0

Remember, we must round to the nearest whole number between 1 and 99 to get the actual percentile value. This is p = 1. Therefore, you rank in the 1st percentile.

Practice problems for these concepts can be found at:

Descriptive Measures Practice Test

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