Question

the box plot below represents some data set. approximately what percentage of the data values are less than 75?

Explanation:

Step1: Recall box - plot properties

In a box - plot, the box represents the inter - quartile range (IQR), which contains the middle 50% of the data. The lower quartile (Q1) is the 25th percentile (25% of data is below Q1), the median (Q2) is the 50th percentile (50% of data is below Q2), and the upper quartile (Q3) is the 75th percentile (75% of data is below Q3).

Step2: Analyze the position of 75

From the box - plot, we can see that 75 is the upper quartile (Q3). By the definition of the upper quartile in a box - plot, approximately 75% of the data values are less than the upper quartile. So, approximately 75% of the data values are less than 75.

Answer:

75%