Question

the box plot represents the number of birds a bird watcher observes each day over the course of a month.

if the extreme data point, 52, is added to the data set, which statement must be true?

• the range of the boxplot would remain unchanged
• the maximum of the boxplot would increase
• the interquartile range of the boxplot would increase
• the boxplot would remain unchanged

Explanation:

Step1: Identify original max from box plot

Original max is 15 (end of whisker).

Step2: Analyze effect of adding 52

New max = 52, so max increases.

Step3: Check other options

Range (max-min) changes; IQR (Q3-Q1) unchanged; boxplot changes.

Answer:

B. The maximum of the boxplot would increase