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Question 459:



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You find the z-score for the 67th percentile. Lets assume you want to know what score is above 67 percent of other scores. To do so, lookup the z-score using the percentile to z-score calculator, enter .67 and 1-sided. You should get .439. We know that a z-score is found by subtracting the mean from a data-point a dividing that result by the standard deviation.  Just setup an equation and solve for the unknown score.

  1. (x-448.95)/27 = .439
  2. x-448.95 = 11.85
  3. x = 460.8

So a score of 460.8 is in the 67th percentile given a population with a mean of 448.95 and standard deviation of 11.85.

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