A fish nursery has four tanks for holding fish before they are sold. Twelve fish weighing less than 1 pound are placed in tank A. Twenty-five fish weighing at least 1 pound but no more than 2 pounds are placed in tank B.
Nine fish weighting at least 2 pounds but no more than 3 pounds are placed in tank C. Seven fish weighing more than 3 pounds are placed in tank D. Which of the following could be the median of the weight, in pounds, of these 53 fish?
We can organize the data into a simple table:
$$ \begin{array}{|c|c|} \hline
\text{Weight} & \text{\# of fish} \\ \hline
\lt 1 \text{ pound} & 12 \\ \hline
\gt 1 \text{ and }\lt 2 \text{ pound} & 25 \\ \hline
\gt 2 \text{ and }\lt 3 \text{ pound} & 9 \\ \hline
\gt 3 \text{ pound} & 7 \\ \hline
\end{array}
$$
Since there are 53 fish in total, the median refers to the 27th fish. This fish must belong in the \( \gt 1 \text{ and } \lt 2 \text{ pound}\) category.