The following is a list of 5 measurements. \[ 5,10,8,7,17 \] Send data to calculator Send data to Excel Suppose that these 5 measurements are respectively labeled $x_{1}, x_{2}, \ldots, x_{5}$. Compute the following. \[ \sum_{i=1}^{5}\left(x_{i}\right)^{2} \] Explanation Check

Step 1 ：Given the measurements are \(x_{1} = 5\), \(x_{2} = 10\), \(x_{3} = 8\), \(x_{4} = 7\), and \(x_{5} = 17\).

Step 2 ：We are asked to compute the sum of the squares of each measurement, which can be represented as \(\sum_{i=1}^{5}\left(x_{i}\right)^{2}\).

Step 3 ：This can be done by squaring each measurement and then adding them together.

Step 4 ：Doing this, we get \((5)^2 + (10)^2 + (8)^2 + (7)^2 + (17)^2 = 527\).

Step 5 ：So, the sum of the squares of the measurements is \(\boxed{527}\).