To verify the given summations:

1. Given Data:

   • $\sum x = 117$
   • $\sum x^2 = 3,049$

2. Possible Verification Approaches:

   • If a dataset is provided, we can sum the values and their squares to confirm these values.
   • If not, we can check consistency using statistical properties (mean, variance, etc.).

Do you have a dataset to verify against, or are you looking for general consistency checks?

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Related Questions:

1. What dataset corresponds to these summations?
2. How can we derive variance using these summations?
3. What does $\sum x^2$ represent in statistical calculations?
4. Can we determine the mean from $\sum x$?
5. What role does $\sum x^2$ play in standard deviation calculations?

Tip:

When given $\sum x$ and $\sum x^2$, you can calculate variance using
$\sigma^2 = \frac{\sum x^2}{n} - \left(\frac{\sum x}{n}\right)^2$