Consider that the data given is discrete in nature.
The mean of the discrete data is calculated as,
[tex]\begin{gathered} Mean=\frac{Sum\text{ }of\text{ }all\text{ }observations}{No.\text{ }of\text{ }observations} \\ Mean=\frac{9+15+16+8+11+8+8+14}{8} \\ Mean=\frac{89}{8} \\ Mean=11.125 \end{gathered}[/tex]Thus, the mean weight is 11.125 pounds.
Now, arrange the data in increasing order,
[tex]8,8,8,9,11,14,15,16[/tex]Since there are 8 data points i.e. an even no. of data points, the median is given by the arithmetic mean of the two middle-most data points.
Here, the two middle values are 9 and 11,
[tex]\text{Median}=\frac{9+11}{2}=\frac{20}{2}=10[/tex]Thus, the median weight is 10 pounds.
