What is the median of the data shown in the box plot below?
A box-and-whisker plot is shown.• The box-and-whisker plot is constructed above a number line which begins just left of 5 and extends a few units right of 45 with tic marks every 1 unit.
• Dots are located above 8, 19, 30, 39.5, and 43.
• The first dot is connected to the second dot by a horizontal line segment.
• A rectangle is drawn with the second dot in a vertical line segment that makes the left end of the rectangle. Similarly, the fourth dot is included in the right end of the rectangle.
• A vertical line segment is drawn across the rectangle through the third dot.
• The fourth and fifth dots are connected by a horizontal line segment.
A. 23
B. 28
C. 30
D. 35
The median of a box plot is the middle value of the data when the data is arranged in order from least to greatest. From the box plot described, we can see that there are 5 data points: 8, 19, 30, 39.5, and 43. To find the median, we need to arrange these numbers in order:
8, 19, 30, 39.5, 43
The middle value is 30, so the median is $\boxed{\textbf{(C)}\ 30}$.
To find the median from the given box plot, we need to locate the middle value. In this case, the median is represented by the vertical line segment drawn across the rectangle.
Looking at the given description, we can see that the vertical line segment passes through the dot located at 30. Therefore, the median of the data is 30.
So, the correct answer is C. 30.