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  • Re-arrange the data in increasing order.
  • If there are n data points, calculate (n+1)/4.
  • Find the data point in position (n+1)/4, using interpolation if required. This is the LOWER QUARTILE.
  • Find the data point in position 3*(n+1)/4, using interpolation if required. This is the UPPER QUARTILE.

In n is large (>30, say), don't bother to add 1: just work with the observations in the n/4th and 3n/4th positions.

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Q: What are the steps in calculating the quartile of group data?
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