$$ \checkmark 1 $$ 2 3 4 5 6 7 Each of the 6 cats in a pet store was weighed. Here are their weights (in pounds). $$ 10,5,15,5,10,8 $$ Find the median and mean weights of these cats. If necessary, round your answers to the nearest tenth. (a) Median: pounds (b) Mean: $$ \square $$ pounds

Question

UpStudy AI · Accepted Answer

$$
\textbf{Step 1: List the weights in order.}
$$
The weights given are: $$10, 5, 15, 5, 10, 8$$.

Sorting these weights in increasing order gives:
$$
5,\ 5,\ 8,\ 10,\ 10,\ 15
$$

$$
\textbf{Step 2: Find the median.}
$$
Since there are 6 numbers (an even number), the median is the average of the 3rd and 4th numbers.

The 3rd number is $$8$$ and the 4th number is $$10$$.

Thus, the median is:
$$
\text{Median} = \frac{8+10}{2} = \frac{18}{2} = 9 \text{ pounds}
$$

$$
\textbf{Step 3: Find the mean.}
$$
First, calculate the sum of the weights:
$$
10+5+15+5+10+8 = 53
$$

Then, divide by the number of cats (6):
$$
\text{Mean} = \frac{53}{6} \approx 8.8333\text{ pounds}
$$
Rounded to the nearest tenth:
$$
\text{Mean} \approx 8.8 \text{ pounds}
$$

$$
\boxed{
\begin{aligned}
\text{(a) Median: } & 9 \text{ pounds} \
\text{(b) Mean: } & 8.8 \text{ pounds}
\end{aligned}
}
$$
(a) Median: 9.0 pounds (b) Mean: 8.8 pounds

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Each of the 6 cats in a pet store was weighed. Here are their weights (in pounds).

Find the median and mean weights of these cats.
If necessary, round your answers to the nearest tenth.
(a) Median:
pounds
(b) Mean: pounds

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2 3 4 5 6 7 Each of the 6 cats in a pet store was weighed. Here are their weights (in pounds). Find the median and mean weights of these cats. If necessary, round your answers to the nearest tenth. (a) Median: pounds (b) Mean: pounds