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’s not affected by outliers. This makes it a helpful approach to evaluate the unfold of knowledge units that will comprise outliers.
Typically, a bigger IQR signifies a better quantity of unfold or variability within the information whereas a smaller IQR represents much less unfold or variability. For example, an IQR of 20 signifies there’s a vital unfold within the information, whereas an IQR of 5 suggests much less dispersion.
To search out the IQR, you first want to seek 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.
How you can discover IQR
To search out the interquartile vary (IQR), observe these steps:
- Order information from smallest to largest.
- Discover the median (center worth).
- Break up information 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’s not affected by outliers.
