Question

the box plot shown represents the amount of time it took all the students in a class to complete the same quiz. describe the data set. the range of the data set is 8. about? of students take less than 15 minutes. 25% 50% 75%

Explanation:

Step1: Recall the properties of a box - plot

A box - plot divides the data into four equal parts (quartiles). The first quartile ($Q_1$) represents the 25th percentile, the median ($Q_2$) represents the 50th percentile, and the third quartile ($Q_3$) represents the 75th percentile.

Step2: Analyze the position of 15 minutes on the box - plot

In a box - plot, the left - most whisker is the minimum value, the right - most whisker is the maximum value, the left edge of the box is $Q_1$, the middle line of the box is the median ($Q_2$), and the right edge of the box is $Q_3$.
The value 15 minutes is at the left - edge of the box (first quartile). The data to the left of $Q_1$ (the part before the box) represents 25% of the data. But if we consider the data from the minimum (left - most whisker) to $Q_1$ (15 minutes), we know that the box - plot divides the data into four equal parts. The part of the data that is less than $Q_1$ (15 minutes) is 25% of the total data.

Answer:

25%