How To Find The Iqr In Statistics. InterQuartile Range IQR When a data set has outliers or extreme values we summarize a typical value using the median as opposed to the mean. To find the interquartile range IQR first find the median middle value of the lower and upper half of the data. To identify the interquartile range of a set of data simply subtract the first quartile from the third quartile as follows. IQR is otherwise called as midspread or middle fifty.
Interquartile Range Formula The interquartile range IQR is a measure of variability based on dividing a data set into quartiles. IQR Q3 Q1 Equivalently the interquartile range is the region between the 75th and 25th percentile 75 25 50 of the data. The IQR is the difference between Q3 and Q1. The task of descriptive statistics is to reduce large amounts of data to a few measures in order to clearly present complex issues. It measures the spread of the middle 50 of values. IQR Q3-Q1 27-12 15 Finding the IQR in R is a simple matter of using the IQR function to do all this work for you.
In descriptive statistics the interquartile range tells you the spread of the middle half of your distribution.
The interquartile range IQR contains the second and third quartiles or the middle half of your data set. If the IQR is large you know the data are more spread out from the median. 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. The IQR is the difference between Q3 and Q1. And they are denoted by Q1 Q2 and Q3 respectively. The values that divide each part are called the first second and third quartiles.