Question

the box plot below represents some data set. what is the value of the median?

Explanation:

Step1: Recall Box Plot Median

In a box plot, the median is represented by the line (or the middle line if the box is split) inside the box.

Step2: Identify Median Line

Looking at the box plot, the box is split, and the middle line (median) is at the position corresponding to 60? Wait, no, wait. Wait, the box is between, let's see the scale. Wait, the box: the left part of the box starts at 40? Wait, no, the x - axis has marks at 0,10,20,30,40,50,60,70,80,90,100. The box is from, let's see, the first box (left) and the second box (right). Wait, the median line is the vertical line that splits the box. Wait, looking at the plot, the middle line (median) is at 60? Wait, no, wait, maybe I misread. Wait, the box is divided into two parts, and the median is the line between them. Wait, the x - axis: the box starts around 40, and the split is at 60? Wait, no, let's check the scale. Each major tick is 10 units (0,10,20,...100), and minor ticks? Wait, the distance between 40 and 50 is 10, with maybe one minor tick? Wait, no, the box plot's median is the line inside the box. Looking at the plot, the vertical line (median) is at 60? Wait, no, wait, maybe the box is from 40 to 80, and the median is at 60? Wait, the box is split into two equal - sized rectangles, so the median is at the middle of the box. Wait, the left part of the box (first rectangle) and the right part (second rectangle). The median line is at 60? Wait, no, wait, let's count the units. From 40 to 80, the middle is 60? Wait, 40 to 80, the midpoint is (40 + 80)/2=60. So the median is at 60? Wait, no, wait, maybe the box is from 40 to 70? Wait, no, the plot shows the box with a split, and the median line is at 60. Wait, looking at the x - axis, the median line (the vertical line in the box) is at 60. So the median value is 60.

Answer:

60