Regents Exam: Algebra I August 2016 (Problem 3 of 37)

The video tutorial explains how box plots, also known as box and whisker plots, represent data by dividing it into quartiles. It describes the components of a box plot, including the box, whiskers, and quartiles, and how they help determine statistics like the minimum, median, and maximum values. However, it highlights that box plots cannot determine the frequency of data points, such as the mode. The tutorial systematically goes through options to identify which statistic cannot be determined from a box plot, concluding that the mode is not represented.

What is the primary purpose of a box plot?

• To display the frequency of data points

• To divide data into quartiles

• To show the mean of the dataset

• To highlight outliers

Which part of a box plot represents the median of the dataset?

• The right whisker

• The entire box

• The vertical line inside the box

• The left whisker

In a box plot, what does the right whisker extend to?

• The maximum value

• The minimum value

• The median

• The first quartile

What does the left whisker of a box plot represent?

• The maximum value

• The minimum value

• The median

• The third quartile

Which statistic cannot be determined from a typical box plot?

• The most frequent score

• The highest score

• The median

• The lowest score