Meaning Of Interquartile Range. The range of values of a frequency distribution between the first and third quartiles. You should always report both numbers not just the difference between them. It is a trimmed estimator defined as the 25 trimmed mid-range and is the most significant basic robust measure of scale. The interquartile range IQR contains the second and third quartiles or the middle half of your data set.
The first quartile denoted Q1 is the value in. The distances between the quartiles is what is used to determine the IQR. IQR Q3 Q1. It measures the spread of the middle 50 of values. When using the interquartile range or IQR the full dataset is split into four equal segments or quartiles. Definition of interquartile range.
You can then explain it by saying that half the sample readings were between these two values a quarter were smaller than the lower quartile and a.
For example suppose we have the following dataset. In other words the interquartile range includes the 50 of data points that are above Q1 and below Q4. This number is what cuts the data set into two smaller sets an upper quartile and lower quartile. You can then explain it by saying that half the sample readings were between these two values a quarter were smaller than the lower quartile and a. Definition of interquartile range. The range of values of the variable in a statistical distribution that lies between the upper and lower quartiles.