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 sturdy measure of unfold, which means it’s not affected by outliers. This makes it a helpful solution to evaluate the unfold of information units which will include outliers.
Normally, a bigger IQR signifies a higher quantity of unfold or variability within the information whereas a smaller IQR represents much less unfold or variability. As an example, an IQR of 20 signifies there’s a important 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.
Easy methods to discover IQR
To search out the interquartile vary (IQR), observe these steps:
- Order information from smallest to largest.
- Discover the median (center worth).
- Cut 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 sturdy measure of unfold, which means it’s not affected by outliers.
