Question

the following boxplot summarizes the heights of a sample of 100 trees growing on a tree farm. emily claims that a tree height of 43 inches is an outlier for the distribution. based on the 1.5×iqr rule for outliers, is there evidence to support the claim? a yes, because (max - q3) is greater than (q1 - min). b yes, because 43 is greater than (q3 + iqr). c yes, because 43 is greater than (q1 - 1.5×iqr). d no, because 43 is not greater than (q3 + 1.5×iqr). e no, because 43 is greater than (q1 - 1.5×iqr).

Explanation:

Step1: Recall the out - lier rule

According to the 1.5×IQR rule, an outlier on the upper end is a value greater than Q3 + 1.5×IQR.

Step2: Analyze each option

We need to check if 43 is greater than Q3 + 1.5×IQR to determine if it is an outlier.

Answer:

D. No, because 43 is not greater than (Q3 + 1.5×IQR)