1. **State the problem:** Find six numbers whose mean is 3 and range is 0. 2. **Recall the formulas:** - Mean formula: $$\text{mean} = \frac{\text{sum of numbers}}{\text{number of numbers}}$$ - Range formula: $$\text{range} = \text{maximum} - \text{minimum}$$ 3. **Analyze the range condition:** - Range is 0 means maximum and minimum are equal. - So, all six numbers must be the same. 4. **Use the mean to find the numbers:** - Let each number be $x$. - Then, mean = 3 means $$3 = \frac{6x}{6} = x$$ 5. **Conclusion:** - All six numbers are 3. **Final answer:** The six numbers are $$3, 3, 3, 3, 3, 3$$.