Question

1. in a box plot, what does the box represent?

a. the range

b. the interquartile range

c. the standard deviation

d. the mean

Explanation:

In a box plot, the box spans from the first quartile ($Q_1$) to the third quartile ($Q_3$). The interquartile range (IQR) is calculated as $IQR = Q_3 - Q_1$, and the box represents this interquartile range. The range is the difference between the maximum and minimum values (represented by the whiskers' overall length), the standard deviation is a measure of data spread not directly represented by the box, and the mean is not represented by the box (the line inside the box is the median, though sometimes the mean is marked, but the box itself isn't for the mean).

Answer:

b. The interquartile range