Range, Quartiles and IQR Calculator
Calculate the minimum, maximum, quartile and IQR values of a data set.
Result
IQR = 6
Interquartile range (IQR): 6
Result in all units
Step-by-step solution
What Are Quartiles and IQR?
Quartiles are the values that divide ordered data into four parts (Q1, Q2/median, Q3). The interquartile range (IQR) is the difference between Q3 and Q1 and shows the spread of the middle half of the data.
How is it calculated?
How Is It Calculated?
IQR = Q3 − Q1
- Enter the data; it is sorted from smallest to largest.
- Q1 is the lower quartile and Q3 is the upper quartile.
Frequently Asked Questions
How is IQR used to find outliers?
Values below Q1 − 1.5×IQR or above Q3 + 1.5×IQR are generally considered outliers.