Question

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

Explanation:

Step1: Understand box - plot quartiles

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. Here, we note that 35 is less than the first quartile ($Q_1$) which is at 40.

Step2: Recall quartile percentages

The first quartile ($Q_1$) represents the 25th percentile of the data. This means that 25% of the data lies below $Q_1$ and 75% of the data lies above $Q_1$. Since 35 is less than $Q_1$, the percentage of data values greater than 35 is 75%.

Answer:

75%