Question

the box plot below represents some data set. approximately what percentage of the data values are less than 95?

Explanation:

Step1: Recall box - plot properties

In a box - plot, the box represents the inter - quartile range (IQR) from the first quartile ($Q_1$) to the third quartile ($Q_3$). The median is the line inside the box. The whiskers extend to the minimum and maximum values within 1.5 times the IQR.

Step2: Analyze the position of 95

Assume that 95 is at the end of the right - hand whisker. In a box - plot, about 95% of the data lies within 2 standard deviations of the mean in a normal distribution - like data set. For a box - plot, if we consider the whole range from the minimum to the maximum value represented by the whiskers, approximately 95% of the data values are less than the maximum value. Since 95 seems to be the maximum value (or close to it) in this box - plot, approximately 95% of the data values are less than 95.

Answer:

95%