the data set represents the number of books read by individual students over the previous year. 1, 4, 5, 8…

Explanation:

Step1: Arrange data in ascending order

The data set is already in ascending - order: 1, 4, 5, 8, 9, 10, 10, 11, 11, 12, 13.

Step2: Determine the number of data points

There are $n = 11$ data points.

Step3: Calculate the median position

For a set with $n$ data points (where $n$ is odd), the median is at the $\left(\frac{n + 1}{2}\right)$-th position. So, $\frac{11+1}{2}=6$ - th position.

Step4: Find the median

The 6 - th value in the ordered data set is 10.

Step5: Interpretation

The median number of books read by individual students over the previous year is 10. This means that half of the students read 10 or fewer books, and the other half read 10 or more books.

Answer:

The median is 10. It implies that half of the students read 10 or fewer books and the other half read 10 or more books over the previous year.