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 approach to evaluate the unfold of knowledge units that will include outliers.
Basically, a bigger IQR signifies a larger 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 seek out the IQR, you first want to search out the median of the information set. Then, you discover the median of the higher half of the information set (Q3) and the median of the decrease half of the information set (Q1). The IQR is then the distinction between Q3 and Q1.
Tips on how to discover IQR
To seek out the interquartile vary (IQR), observe these steps:
- Order knowledge from smallest to largest.
- Discover the median (center worth).
- Cut 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 sturdy measure of unfold, which means it’s not affected by outliers.
