Let's analyze the problem given in the image.

Problem: Each of the 8 cats in a pet store was weighed. Here are their weights (in pounds):

$10, 12, 14, 15, 6, 8, 13$

We need to find the mean and median weights of these cats. If necessary, the answers should be rounded to the nearest tenth.

Step 1: Calculate the Mean

To calculate the mean weight:

1. Add all the weights together: $10 + 12 + 14 + 15 + 6 + 8 + 13 = 78 \text{ pounds}$

2. Divide the sum by the number of cats: $\text{Mean} = \frac{78}{7} \approx 11.1 \text{ pounds}$

Step 2: Calculate the Median

To calculate the median weight:

1. Arrange the weights in ascending order: $6, 8, 10, 12, 13, 14, 15$

2. Find the middle value(s):

   • Since there are 7 values, the median is the fourth value in the list: $\text{Median} = 12 \text{ pounds}$

Final Answers:

• Mean weight: $11.1$ pounds (rounded to the nearest tenth).
• Median weight: $12$ pounds.

Would you like any more details or have any questions about these calculations?

Here are 5 related questions you might explore:

1. How would the mean and median change if an additional cat weighing 16 pounds was added?
2. What is the range of the weights of these cats?
3. Can the mode of these weights be determined?
4. How would the calculations change if the weight of the lightest cat was incorrect and was actually 7 pounds?
5. What is the impact of an outlier on the mean and median in a data set?

Tip: The median is often more representative of a typical value when your data set has outliers, while the mean is more sensitive to those extremes.