Question

A random survey of seventh- and eighth-grade students was conducted to find out how many hours is spent doing homework each night. Of the two sets of data, which has the greater median?

A double box plot showing Hours of Homework with seventh graders on the top and eighth graders on the bottom. For the seventh graders, the left end mark is at 2 point 5, the left edge of the box is at 3, the line inside the box is at 3 point 5, the right edge of the box is at 4, and the right end mark is at 4 point 5. For the eighth graders, the left end mark is at 3, the left edge of the box is at 3 point 5, the line inside the box is at 4, the right edge of the box is at 4 point 5, and the right end mark is at 5.


Seventh graders



Eighth graders



They have the same median.



Impossible to determine from the box plot.

Answer 1

To determine which set of data has the greater median from the box plot, we can look at the line inside each box, which represents the median of the data.

From the information provided:

- For seventh graders, the line inside the box is at 3.5.
- For eighth graders, the line inside the box is at 4.

Since 4 (the median for eighth graders) is greater than 3.5 (the median for seventh graders), we conclude that the eighth graders have the greater median.

So, the answer is that the **eighth graders** have the greater median.