The interquartile vary (IQR) is a measure of the unfold of a knowledge set. It’s the distinction between the higher quartile (Q3) and the decrease quartile (Q1). The IQR is a strong measure of unfold, which means it isn’t affected by outliers. This makes it a helpful solution to evaluate the unfold of information units that will include outliers.
Normally, a bigger IQR signifies a better quantity of unfold or variability within the knowledge whereas a smaller IQR represents much less unfold or variability. As an illustration, an IQR of 20 signifies there’s a important unfold within the knowledge, whereas an IQR of 5 suggests much less dispersion.
To search out the IQR, you first want to search out the median of the info set. Then, you discover the median of the higher half of the info set (Q3) and the median of the decrease half of the info set (Q1). The IQR is then the distinction between Q3 and Q1.
The right way to discover IQR
To search out the interquartile vary (IQR), observe these steps:
- Order knowledge from smallest to largest.
- Discover the median (center worth).
- Break up knowledge into two halves.
- Discover median of every half.
- Subtract decrease median from higher median.
- The result’s the IQR.
The IQR is a strong measure of unfold, which means it isn’t affected by outliers.
