the box plot below represents some data set. approximately what percentage of the data values are between 35…

Explanation:

Step1: Recall box - plot properties

In a box - plot, the box represents the inter - quartile range (IQR). The lower quartile ($Q_1$) is at the left - hand side of the box and the upper quartile ($Q_3$) is at the right - hand side of the box. The median is the line inside the box. The minimum value is at the end of the left whisker and the maximum value is at the end of the right whisker.

Step2: Identify quartile values

Assume that 35 is close to the lower quartile ($Q_1$) and 50 is close to the median. The median represents the 50th percentile and the lower quartile represents the 25th percentile.

Step3: Calculate the percentage

To find the percentage of data values between 35 and 50, we subtract the percentile of 35 from the percentile of 50. So, $50 - 25=25$.

Answer:

25%