7 -9 7 7 -9 -9 -1

Determine the mean of the given data.

To find the mean (average) of the given data set, you need to follow these steps:

1. **Sum all the numbers**: Add up all the values in the data set.
2. **Count the number of values**: Determine how many values are in the data set.
3. **Divide the sum by the count**: This will give you the mean.

Let's calculate it.

### Step 1: Sum the numbers
\[
7 + (-9) + 7 + 7 + (-9) + (-9) + (-1) = 7 - 9 + 7 + 7 - 9 - 9 - 1 = -7
\]

### Step 2: Count the number of values
There are 7 values in the data set.

### Step 3: Divide the sum by the count
\[
\text{Mean} = \frac{-7}{7} = -1
\]

So, the mean of the given data is \(-1\).

Would you like more details, or do you have any questions?

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Here are 5 related questions to expand your understanding:
1. How would the mean change if you added another number to the data set?
2. What is the median of the same data set?
3. How do outliers affect the mean of a data set?
4. Can the mean of a data set be greater than all the numbers in the set?
5. How would you calculate the mean for a large data set efficiently?

**Tip:** The mean is sensitive to extreme values (outliers) in the data set, which can skew the average.

Learn how to calculate the mean (average) of a data set containing the numbers 7, -9, 7, 7, -9, -9, -1. Step-by-step solution provided with detailed explanation and examples. Suitable for Grades 7-9 mathematics students.

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