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Determine the 67th percentile.

Question

Determine the 67th percentile.

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Solution

To determine the 67th percentile, you need to have a data set or a distribution. The percentile is a measure used in statistics indicating the value below which a given percentage of observations in a group of observations fall.

Here are the steps to determine the 67th percentile:

  1. Organize your data in ascending order (from smallest to largest).
  2. Count how many data points you have.
  3. Use the formula: (P/100)(N + 1) = rank, where P is the desired percentile (in this case, 67) and N is the number of data points. This will give you the rank of the percentile.
  4. If the rank is a whole number, find the data point that corresponds to that rank and you have your percentile.
  5. If the rank is not a whole number, round it up and down to get two ranks and find the data points that correspond to those ranks. The percentile will be the average of these two data points.

Please note that this is a simplified explanation and the actual process might be more complex depending on the nature of your data.

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