Question

question the box plot below represents some data set. what percentage of the data values are greater than 35?

Explanation:

Step1: Recall box - plot properties

In a box - plot, the box represents the inter - quartile range (IQR). The left - hand side of the box is the first quartile ($Q_1$), the line inside 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 a certain range.

Step2: Identify the position of 35

Since 35 is to the left of the first quartile (the left - hand side of the box which is at 40 in this case).

Step3: Calculate the percentage

The first quartile represents the 25th percentile. So, the percentage of data values greater than a value less than $Q_1$ is $100 - 25=75\%$.

Answer:

75%