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Percentiles

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  • Percentiles

    Is there a reasonably convenient way to calculate or estimate 20th and 80th percentiles if I know 10th, 90th, and 50th?

    For example, given 10th = 1.88, 90th = 4.00, and 50th = 3.00

    20th = ?

    80th = ?
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  • #2
    Can you say that in English?





    PS, google found this:
    https://www.indeed.com/career-advice...ercentile-rank

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    • #3
      Originally posted by NorrinRadd View Post
      Is there a reasonably convenient way to calculate or estimate 20th and 80th percentiles if I know 10th, 90th, and 50th?

      For example, given 10th = 1.88, 90th = 4.00, and 50th = 3.00

      20th = ?

      80th = ?
      If you assume a Gaussian distribution, then it can be done. Whether it's convenient or not depends on how good you are at math.

      https://en.wikipedia.org/wiki/Gaussi..._of_parameters

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      • #4
        Upon further reflection, I don't think the example you gave could be a Gaussian distribution, since the difference between the 50th and 90th percentiles would be the same as the difference between the 50th and 10th percentiles.

        So I don't think there is enough information to calculate the 20th and 80th percentiles.

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        • #5
          Originally posted by Stoic View Post

          If you assume a Gaussian distribution, then it can be done. Whether it's convenient or not depends on how good you are at math.

          https://en.wikipedia.org/wiki/Gaussi..._of_parameters
          Thanks. It's been too many decades since I did that kind of stuff. At this point, it's beyond my reach, even if I wanted to try.
          Geislerminian Antinomian Kenotic Charispneumaticostal Gender Mutualist-Egalitarian.

          Beige Federalist.

          "Everybody is somebody's heretic."

          Social Justice is usually the opposite of actual justice.

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          • #6
            Originally posted by Stoic View Post
            Upon further reflection, I don't think the example you gave could be a Gaussian distribution, since the difference between the 50th and 90th percentiles would be the same as the difference between the 50th and 10th percentiles.

            So I don't think there is enough information to calculate the 20th and 80th percentiles.
            Yes, I noticed that asymmetry, and wondered if it would be an issue. :-(
            Geislerminian Antinomian Kenotic Charispneumaticostal Gender Mutualist-Egalitarian.

            Beige Federalist.

            "Everybody is somebody's heretic."

            Social Justice is usually the opposite of actual justice.

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            Justice for Ashli Babbitt!

            Justice for Matthew Perna!

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            • #7
              Originally posted by NorrinRadd View Post
              Is there a reasonably convenient way to calculate or estimate 20th and 80th percentiles if I know 10th, 90th, and 50th?

              For example, given 10th = 1.88, 90th = 4.00, and 50th = 3.00

              20th = ?

              80th = ?
              No. You'd also need to know the shape of the distribution. A Gaussian distribution and a flat distribution could have the same 10th/50th/90th percentiles, but very different 20th/80th percentiles.

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