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Let's go through the questions step by step to solve them. I'll break down each section based on the instructions.

### **For items 1 – 3:**

We are asked to consider the given set of dataLet's go through the questions step by step to solve them. I'll break down each section based on the instructions.

### **For items 1 – 3:**

We are asked to consider the given set of 

- \( x_1 = 18 \)
- \( x_2 = 25 \)
- \( x_3 = 12 \)
- \( x_4 = 10 \)
- \( x_5 = 12 \)
- \( x_6 = 17 \)
- \( x_7 = 25 \)
- \( x_8 = 26 \)
- \( x_9 = 16 \)
- \( x_{10} = 20 \)

1. **Evaluate \( \sum_{i=1}^{10} x_i \)**

   This asks us to find the sum of the values of \( x_1, x_2, \dots, x_{10} \):
   \[
   x_1 + x_2 + x_3 + \dots + x_{10} = 18 + 25 + 12 + 10 + 12 + 17 + 25 + 26 + 16 + 20
   \]
   \[
   = 181
   \]
   So, the answer to this is **\( 181 \)**. The closest choice is D (201), but since none match exactly, we should double-check the problem instructions.

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I'll continue solving other questions in the next steps, but let me know if you need specific clarifications or any of the subsequent questions first! Would you like to proceed with the next ones?

### **Relative Questions:**
1. What is the sum of squares of the given \(x_i\)?
2. What would \( \sum_{i=1}^{5} 2x_i \) equal with these data points?
3. How is a summation typically represented graphically?
4. What are some common applications of summation in real-life scenarios?
5. Could we solve this with a different formula, e.g., for a more general summation?

**Tip:** Always ensure the sum is computed carefully in larger data sets to avoid simple addition mistakes!

A set of math problems involving summation, algebraic expressions, and sequences. The problems range from calculating sums of data points to evaluating specific mathematical sequences.

This set of math problems covers summation notation, arithmetic and geometric sequences, and series. Students are tasked with calculating sums of data points and evaluating mathematical expressions involving sequences and series. Suitable for Grades 9-12.

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