General Math VCE Yr12 3 & 4 | Lesson 5 | Proving Outlier in Boxplot

In unit 3 & 4, students learn how to identify possible outliers in a boxplot using the criteria Q1 − 1.5 × IQR ≤ x ≤ Q3 + 1.5 × IQR. Here, Q1 and Q3 are the first and third quartiles, respectively, and IQR is the interquartile range. The interquartile range is calculated as the difference between the third and first quartiles.

To identify outliers, we first calculate the interquartile range (IQR) and then calculate the lower and upper bounds for outliers. The lower bound is given by Q1 − 1.5 × IQR, and the upper bound is given by Q3 + 1.5 × IQR. Any data points that fall outside of these bounds are considered outliers.
#Boxplot #Outliers #Unit3&4 #CAS