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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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Calculating quartile deviation for grouped and ungrouped data?

(q3-q1)/2


Can interquartile range be used for any data eg data below the lower quartile to find if the data is spread out or close together or must we use the lower quartile for data below the lower quartile?

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