the box plot below represents some data set. approximately what percentage of the data values are less than…

Explanation:

Step1: Recall box - plot properties

In a box - plot, the left - hand side of the box represents the first quartile ($Q_1$), which is the 25th percentile, the line inside the box represents the median (50th percentile), and the right - hand side of the box represents the third quartile ($Q_3$), which is the 75th percentile. The whiskers extend to the minimum and maximum values within 1.5 times the inter - quartile range ($IQR = Q_3 - Q_1$).

Step2: Locate 32 on the box - plot

The value 32 is at the left - hand side of the box. Since the left - hand side of the box represents the first quartile (25th percentile), approximately 25% of the data values are less than the value at the left - hand side of the box.

Answer:

25%