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Interquartile Range Math Definition. Quartiles are the partition al values which divide the whole series into 4 equal parts. The interquartile range is a measure of variability based on splitting data into quartiles. Illustrated definition of Interquartile Range. These values are quartile 1 Q1 and quartile 3 Q3.
As Sal said the interquartile range gives you an idea of how far apart the data is spread out. For example if we had the data sets. It is defined as the difference between the largest and smallest values in the middle 50 of a set of data. When a data set has outliers variability is often summarized by a statistic called the interquartile range which is the difference between the first and third quartiles. Quartiles and the interquartile range can be used to group and analyze data sets. Jenny Eather 2014.
IQR is the difference between the third and first quartiles.
The values that split each part are known as the first second and third quartile. It is defined as the difference between the largest and smallest values in the middle 50 of a set of data. In descriptive statistics the interquartile range IQR also called the midspread middle 50 or Hspread is a measure of statistical dispersion being equal to the difference between 75th and 25th percentiles or between upper and lower quartiles IQR Q3 Q1. Quartile divides the range of data into four equal parts. These values are quartile 1 Q1 and quartile 3 Q3. In some texts the interquartile range is defined differently.