1. **Problem 1:** Calculate $$\sqrt{(0.42-0.424)^2+(0.48-0.424)^2+(0.42-0.424)^2+(0.4-0.424)^2+(0.4-0.424)^2}$$ and then divide the result by 2. 2. **Step 1:** Calculate each squared difference: $$ (0.42-0.424)^2 = (-0.004)^2 = 0.000016 $$ $$ (0.48-0.424)^2 = (0.056)^2 = 0.003136 $$ $$ (0.42-0.424)^2 = 0.000016 $$ $$ (0.4-0.424)^2 = (-0.024)^2 = 0.000576 $$ $$ (0.4-0.424)^2 = 0.000576 $$ 3. **Step 2:** Sum these values: $$ 0.000016 + 0.003136 + 0.000016 + 0.000576 + 0.000576 = 0.00432 $$ 4. **Step 3:** Take the square root: $$ \sqrt{0.00432} \approx 0.0657 $$ 5. **Step 4:** Divide by 2: $$ \frac{0.0657}{2} = 0.03285 $$ 6. **Problem 2:** Calculate $$\sqrt{(0.5-0.444)^2+(0.5-0.444)^2+(0.4-0.444)^2+(0.42-0.444)^2+(0.42-0.444)^2}$$ and then divide the result by 2. 7. **Step 1:** Calculate each squared difference: $$ (0.5-0.444)^2 = (0.056)^2 = 0.003136 $$ $$ (0.5-0.444)^2 = 0.003136 $$ $$ (0.4-0.444)^2 = (-0.044)^2 = 0.001936 $$ $$ (0.42-0.444)^2 = (-0.024)^2 = 0.000576 $$ $$ (0.42-0.444)^2 = 0.000576 $$ 8. **Step 2:** Sum these values: $$ 0.003136 + 0.003136 + 0.001936 + 0.000576 + 0.000576 = 0.00936 $$ 9. **Step 3:** Take the square root: $$ \sqrt{0.00936} \approx 0.09677 $$ 10. **Step 4:** Divide by 2: $$ \frac{0.09677}{2} = 0.04839 $$ **Final answers:** - Problem 1 result: approximately 0.03285 - Problem 2 result: approximately 0.04839