Question

Identify the quartiles in a box-and-whisker plot. the following box-and-whisker plots show the ages of the players on two different basketball teams (a and b) during a particular season. what is the first quartile (q1) value for team a?

a.) 20
b.) 30
c.) 25
d.) 21

Answer 1

The first quartile (Q1) in a box-and-whisker plot is found at the far left end of the box for a horizontal plot. Without the plot, the value cannot be determined, but it is typically the leftmost boundary of the box, representing the lower 25% of the data (C).

Step-by-step explanation:

To identify the quartiles in a box-and-whisker plot, you look at the divisions within the box itself. The first quartile (Q1), also known as the lower quartile, is the value at the far left end of the box for a horizontal plot, or the bottom of the box for a vertical plot.

This value divides the lowest 25% of the data from the rest. Without the actual box-and-whisker plot provided, we cannot definitively determine the value of Q1 for Team A. However, based on the typical construction of a box plot, you look for the leftmost boundary of the box (not the whisker), which represents Q1. Given the options provided, you would choose the value that corresponds to this position in the box plot for Team A.

So, the answer is C.