The interquartile range (IQR) is a measure of spread in statistics. The observations (data) are arranged in order of magnitude - usually smallest to largest.
Suppose there are n observations. Then calculate (n+1)/4 and round it to m, say. For large n (>30) don't bother with the +1 Then find the values of the observations is positions m and 3m. [That last sentence would be so much simpler if this crap browser allowed superscripts but mth and 3mth is confusing!] The number in position m is called the "Lower Quartile" and a quarter of the observations are smaller than it is. The number in position 3m is called the "Upper Quartile" and a quarter of the observations are greater than it is. The difference between the two values (not m and 3m but the values of the observations in those positions) is the IQR.
Since a quarter of the observations are smaller than the LQ and a quarter are larger than the UQ, the IQR contains the middle half of all observations.
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interquartile range or mean absolute deviation.
Range = maximum - minimum Interquartile range = Value of 75th percentile - value of 25th percentile. The 75th percentile is the value such that 25% of the observations are bigger and 75% are smaller.
The semi interquartile range is a measure for spread or dispersion. To find it you have to subtract the first quartile from Q3 and divide that by 2, (Q3 - Q1)/2
If you are talking about statisitics, in a box and whisker graph it is the interquartile range.
The interquartile range :)