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

Explanation:

Step1: Understand box - plot structure

A box - plot has quartiles. The left - hand side of the box is the first quartile ($Q_1$), the line in the box is the median ($Q_2$), and the right - hand side of the box is the third quartile ($Q_3$). The whiskers extend to the minimum and maximum values within 1.5 times the inter - quartile range (IQR).

Step2: Identify position of 95

In a box - plot, if we assume that the right - hand end of the box is at 70 and the end of the right - hand whisker is at 100, 95 is near the end of the right - hand whisker.

Step3: Recall percentage in box - plot

Approximately 25% of the data is between $Q_1$ and the median, 25% is between the median and $Q_3$, and 25% is between $Q_3$ and the maximum value within the 1.5 * IQR range. Since 95 is near the maximum value of the data set within the whisker range, approximately 90 - 95% of the data values are less than 95. A good estimate is 90%.

Answer:

90%