Questions: The following is a list of 5 measurements. 16,10,5,9,18 Suppose that these 5 measurements are respectively labeled x1, x2, ..., x5, Compute the following. sum from i=1 to 5 of (xi)^2

The following is a list of 5 measurements. 16,10,5,9,18 Suppose that these 5 measurements are respectively labeled x1, x2, ..., x5, Compute the following. sum from i=1 to 5 of (xi)^2
Transcript text: The following is a list of 5 measurements. \[ 16,10,5,9,18 \] Suppose that these 5 measurements are respectively labeled $x_{1}, x_{2}, \ldots, x_{5}$, Compute the following. \[ \sum_{i=1}^{5}\left(x_{i}\right)^{2} \]
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Solution

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Solution Steps

Step 1: List the Measurements

Given the measurements: \[ 16, 10, 5, 9, 18 \]

Step 2: Square Each Measurement

Calculate the square of each measurement: \[ 16^2 = 256 \] \[ 10^2 = 100 \] \[ 5^2 = 25 \] \[ 9^2 = 81 \] \[ 18^2 = 324 \]

Step 3: Sum the Squared Values

Add the squared values together: \[ 256 + 100 + 25 + 81 + 324 = 786 \]

Final Answer

\[ \boxed{786} \]

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