Question

the box plot below represents some data set. what percentage of the data values are greater than 60?

Explanation:

Step1: Recall box - plot properties

In a box - plot, the box represents the inter - quartile range (IQR). The left edge of the box is the first quartile ($Q_1$), the line inside the box is the median ($Q_2$), and the right edge of the box is the third quartile ($Q_3$). The whiskers extend to the minimum and maximum values (excluding outliers).

Step2: Identify quartile values

Assume that the box - plot is evenly spaced and we know that the median of the whole data set divides it into two halves. The first quartile ($Q_1$) represents the 25th percentile, the median ($Q_2$) represents the 50th percentile, and the third quartile ($Q_3$) represents the 75th percentile.

Step3: Analyze the position of 60

Since 60 is approximately at the third - quartile position (75th percentile) in the box - plot.

Step4: Calculate the percentage of values greater than 60

The percentage of data values greater than the third quartile is $25\%$.

Answer:

$25\%$