Question: What is the mean ? -3 + -5 + 6 + 4+ 5 + 4 + -4
1. **State the problem:** Find the mean of the numbers $$-3, -5, 6, 4, 5, 4, -4$$.
2. **Formula for the mean:**
$$\text{Mean} = \frac{\text{Sum of all numbers}}{\text{Number of numbers}}$$
3. **Calculate the sum:**
$$-3 + (-5) + 6 + 4 + 5 + 4 + (-4) = (-3 - 5 - 4) + (6 + 4 + 5 + 4)$$
$$= (-12) + 19 = 7$$
4. **Count the numbers:** There are $$7$$ numbers.
5. **Calculate the mean:**
$$\text{Mean} = \frac{7}{7}$$
6. **Simplify the fraction:**
$$\frac{\cancel{7}}{\cancel{7}} = 1$$
7. **Final answer:** The mean of the numbers is $$1$$.