Question

the following boxplot summarizes the heights of a sample of 100 trees growing on a tree farm. tree height (inches) 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 outlier rule

For upper - bound, outliers are values > Q3 + 1.5×IQR.

Step2: Analyze given options

Based on rule, check if 43 > Q3 + 1.5×IQR.

Answer:

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