https://file.aiquickdraw.com/mathbot/file/1726355098958xyphvd7h.jpg

The problem in the image asks you to compute the summation:

\[
\sum_{i=1}^{4} \left( x_i \right)^2
\]

Given the list of measurements: \( 17, 10, 10, 20 \), these values are labeled as \( x_1 = 17 \), \( x_2 = 10 \), \( x_3 = 10 \), and \( x_4 = 20 \).

We are asked to calculate:

\[
\left( x_1 \right)^2 + \left( x_2 \right)^2 + \left( x_3 \right)^2 + \left( x_4 \right)^2
\]

This becomes:

\[
17^2 + 10^2 + 10^2 + 20^2 = 289 + 100 + 100 + 400 = 889
\]

So the final answer is **889**.

Would you like further clarification or more details?

Here are some related questions you might find helpful:
1. How does summation notation work in general?
2. What is the difference between population variance and sample variance?
3. How do you calculate mean and standard deviation from a data set?
4. What are some properties of squares and their application in statistics?
5. How is summation used in computing other statistical measures like covariance?

**Tip:** When working with summations, be careful to correctly square each term before adding them together to avoid mistakes.

The following is a list of 4 measurements: 17, 10, 10, 20. Compute the sum of the squares of these measurements using summation notation.

Learn how to calculate the sum of the squares of four measurements (17, 10, 10, 20) using summation notation. This problem involves arithmetic operations and is perfect for students in Grades 9-11.

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