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