28+ Interquartile Range Math Definition Background. The interquartile range defines the difference between the third and the first quartile. To find the interquartile range (iqr), first find the median (middle value) of the lower and upper half of the data.
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Q3 minus q1 i(quartiles are the values that divide. Standard deviation and interquartile range. Mathematics stack exchange is a question and answer site for people studying math at any level and professionals in related fields.
The median of the lower half of a set of data is the lower quartile (lq) or q1.
Interquartile range is equal to quartile 3 minus quartile 1. Before determining the interquartile range, we first need to know the values of the first quartile and third quartile. As seen above, the interquartile range is built upon the calculation of other statistics. Similarly if 30% of the lower group is in the interquartile range then you could take the point 30% of the way from its upper boundary to its lower boundary.
