Question

the box plot below represents some data set. what percentage of the data values are greater than 130?

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 of the box. Here, we assume that 130 is the third - quartile ($Q_3$) value.

Step2: Calculate the percentage

The third quartile ($Q_3$) represents the 75th percentile of the data set. This means that 75% of the data values are less than or equal to $Q_3$. To find the percentage of data values greater than $Q_3$, we use the formula $100 - 75$.
$100−75 = 25$

Answer:

25%