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Math Help - Word Problem involving Percentiles?

  1. #1
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    Question Word Problem involving Percentiles?

    I'm doing exam review and am having trouble with this. Can someone please help explain it to me?

    This is one of the questions:

    Scores on a Test are worth 40 marks.

    a) If a student scores at the 80th percentile, what is the students raw score?

    b) In which percentile are the students who scored 30/40?

    c) If a student scores in the 70th percentile, what did they get on the test?
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  2. #2
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    Re: Word Problem involving Percentiles?

    Hey tdotodot.

    To answer this you need to have a distribution of marks. Do you want to assume that they are uniformly distributed from 0 to 40 (discrete uniform that is)?
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    Re: Word Problem involving Percentiles?

    Quote Originally Posted by chiro View Post
    Hey tdotodot.

    To answer this you need to have a distribution of marks. Do you want to assume that they are uniformly distributed from 0 to 40 (discrete uniform that is)?
    The question does not specify. However I believe that is the correct way.
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  4. #4
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    Re: Word Problem involving Percentiles?

    One reason I ask is that typically marks have more of a Normal distribution or a skewed distribution.

    However if its uniform between a and b (whole numbers only and both inclusive) then the percentile score in percent for an observation x is p(x) = (x-a)/[b-a] * 100% where x lies in the interval of whole numbers [a,b]
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