Question

How is the location of the pth percentile in a dataset calculated?

How is the location of the pth percentile in a dataset calculated?

Homework Answers

Answer #1

To find the location of the pth percentile in a dataset, we need to do the following steps:

  1. Multiply the total number of values in the data set by the percentile, which will give you the index.
  2. Order all of the values in the data set in ascending order (least to greatest).
  3. If the index is a whole number, count the values in the data set from least to greatest until you reach the index, then take the index and the next greatest number and find the average.
  4. If the index is not a whole number, round the number up, then count the values in the data set from least to greatest, until you reach the index.
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