1. **State the problem:** We want to evaluate the expression $$x^2 = \sum \frac{(97.375 - 22)^2}{22}$$. 2. **Understand the formula:** This looks like a sum of squared differences divided by 22. Since there is only one term inside the summation, the summation is just that term. 3. **Calculate the difference:** $$97.375 - 22 = 75.375$$ 4. **Square the difference:** $$75.375^2 = 5681.390625$$ 5. **Divide by 22:** $$\frac{5681.390625}{22}$$ 6. **Simplify the fraction:** $$\frac{\cancel{5681.390625}}{\cancel{22}} = 258.2459375$$ 7. **Final answer:** $$x^2 = 258.2459375$$ This means the value of $x^2$ is approximately 258.246.