Question

the box - and - whisker plot below represents some data set. what percentage of the data values are greater than or equal to 110?

Explanation:

Step1: Understand box - and - whisker plot

In a box - and - whisker 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.

Step2: Identify quartile positions

The median divides the data into two halves. $Q_1$ is the median of the lower half and $Q_3$ is the median of the upper half. Each quartile represents 25% of the data.

Step3: Locate 110 on the plot

Assume that 110 is at the median ($Q_2$) of the data set.

Step4: Calculate the percentage

Since 50% of the data is greater than or equal to the median, if 110 is the median, 50% of the data values are greater than or equal to 110.

Answer:

50%