1. **State the problem:** Chloe has the data set $12, 14, g, 14, 14$ and the mean of these numbers is given as 14. We need to find the possible value of $g$. 2. **Recall the formula for the mean:** $$\text{Mean} = \frac{\text{Sum of all data points}}{\text{Number of data points}}$$ 3. **Apply the formula:** There are 5 data points, so $$14 = \frac{12 + 14 + g + 14 + 14}{5}$$ 4. **Calculate the sum of known numbers:** $$12 + 14 + 14 + 14 = 54$$ 5. **Set up the equation:** $$14 = \frac{54 + g}{5}$$ 6. **Multiply both sides by 5 to eliminate the denominator:** $$5 \times 14 = 54 + g$$ $$70 = 54 + g$$ 7. **Isolate $g$ by subtracting 54 from both sides:** $$g = 70 - 54$$ $$g = 16$$ 8. **Check the options:** The possible values given are 6 and 16. Our calculation shows $g = 16$. **Final answer:** $g = 16$