We want to summarize the number of dogs our friends have into a single number. We will use the measures of center for this problem. Ashley has 1 dog, Steve has 1 dog, Jeff has 2 dogs, Kylie has 3 dogs, and Lisa has 8 dogs.

There is no measure of center that is always best, so we need to try all three to see what makes sense in this situation.

What is the mean, median, and mode for the number of dogs our friends have?

To summarize the number of dogs your friends have using the three measures of center—mean, median, and mode—we need to first organize the dataTo summarize the number of dogs your friends have using the three measures of center—mean, median, and mode—we need to first organize the 

- Ashley: 1 dog
- Steve: 1 dog
- Jeff: 2 dogs
- Kylie: 3 dogs
- Lisa: 8 dogs

The list of dogs your friends have is: \[1, 1, 2, 3, 8\].

### 1. **Mean**:
The mean is the average of the numbers. To calculate the mean, we sum the values and divide by the total number of values.

\[
\text{Mean} = \frac{1 + 1 + 2 + 3 + 8}{5} = \frac{15}{5} = 3
\]

So, the **mean** number of dogs is **3**.

### 2. **Median**:
The median is the middle value when the numbers are ordered from least to greatest. In this case, the numbers are already ordered: \[1, 1, 2, 3, 8\].

Since there are 5 numbers, the median is the 3rd number in the list:

\[
\text{Median} = 2
\]

So, the **median** number of dogs is **2**.

### 3. **Mode**:
The mode is the number that appears most frequently. In this case, the number **1** appears twice, while all other numbers appear only once.

So, the **mode** is **1**.

### Summary:
- **Mean**: 3
- **Median**: 2
- **Mode**: 1

Each measure of center provides a different perspective:
- The **mean** reflects the overall average.
- The **median** shows the middle value.
- The **mode** highlights the most common value.

Would you like more details or have any questions? Here are 5 related questions for further exploration:

1. How does the presence of an outlier (like Lisa having 8 dogs) affect the mean?
2. When might the median be a better measure of center than the mean?
3. Can there be more than one mode? What would happen if no number repeats?
4. How would the measures of center change if we added more friends with varying numbers of dogs?
5. What would happen if we removed Lisa's 8 dogs from the data?

**Tip:** The **mean** is sensitive to extreme values, while the **median** is more resistant to outliers.

We want to summarize the number of dogs our friends have into a single number. We will use the measures of center for this problem. Ashley has 1 dog, Steve has 1 dog, Jeff has 2 dogs, Kylie has 3 dogs, and Lisa has 8 dogs. There is no measure of center that is always best, so we need to try all three to see what makes sense in this situation. What is the mean, median, and mode for the number of dogs our friends have?

Learn how to calculate the mean, median, and mode for the number of dogs owned by friends: Ashley (1), Steve (1), Jeff (2), Kylie (3), and Lisa (8). Understand the measures of center and how each provides a different perspective on the data. Suitable for Grades 4-6.

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