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Arrange the data in increasing order and count the number of data points = N.

Find the integer K = N/2 or (N+1)/2.

The Kth number in the ordered set is the median.

Now consider only the numbers from the smallest to the median and find the median of this subset. This is the lower quartile = Q1.

Then consider only the numbers from the original median to the largest. Find the median of this subset. It is the upper quartile = Q3.

Then IQR = Q3 - Q1

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