Question

Each of the 8 cats in a pet store was weighed. Here are their weights (in pounds):9, 15, 16, 8, 11, 8, 8, 14Find the mean and median weights of these cats.If necessary, round your answers to the nearest tenth.Mean: [] poundsMedian: [] pounds

Answer 1

Consider that the data given is discrete in nature.

The mean of the discrete data is calculated as,

`\begin{gathered} Mean=\frac{Sum\text{ }of\text{ }all\text{ }observations}{No.\text{ }of\text{ }observations} \\ Mean=(9+15+16+8+11+8+8+14)/(8) \\ Mean=(89)/(8) \\ Mean=11.125 \end{gathered}`

Thus, the mean weight is 11.125 pounds.

Now, arrange the data in increasing order,

`8,8,8,9,11,14,15,16`

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,

`\text{Median}=(9+11)/(2)=(20)/(2)=10`

Thus, the median weight is 10 pounds.