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Explain how to find the IQR
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IQR?
interquartle range
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Consider the following data set: {3, 4, 4, 5, 6, 7, 9, 11, 11, 12, 14, 15} The median is the value half way between the two values either side of the middle: \[median=\frac{7+9}{2}=8\] The data can be partitioned into subsets, each with 6 members: {3, 4, 4, 5, 6, 7} and {9, 11, 11, 12, 14, 15} The Lower Quartile is the median of the first of these two subsets, \[LQ=\frac{4+5}{2}=4.5\] and the Upper Quartile is the median of the other subset, \[UQ=\frac{11+12}{2}=11.5\] The Interquartile Range is the difference between the Upper and Lower Quartiles: IQR = 11.5 - 4.5 = 7
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