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Solved on Sep 25, 2023

Compute the sum of 33 times each of the 11 measurements: $\sum_{i=1}^{11} 33 x_{i}$

STEP 1

Assumptions1. The measurements are given as -44, -53, -18,57, -4, -1, -53,88, -67, -32, -23. These measurements are labeled as $x_{1}, x_{}, \ldots, x_{11}$ respectively3. We need to compute the sum of each measurement multiplied by33

STEP 2

We can calculate the sum by multiplying each measurement by33 and then adding them all up. This can be represented as $\sum_{i=1}^{11}33 x_{i} =33x_{1} +33x_{2} + \ldots +33x_{11}$

STEP 3

Now, plug in the given values for each $x_{i}$ to calculate the sum.
$\sum_{i=1}^{11}33 x_{i} =33(-44) +33(-53) +33(-18) +33(57) +33(-) +33(-1) +33(-53) +33(88) +33(-67) +33(-32) +33(-23)$

STEP 4

Calculate the sum.
$\sum_{i=1}^{11}33 x_{i} = -1452 -1749 -594 +1881 -132 -33 -1749 +2904 -2211 -1056 -759$

STEP 5

Add up all the values to get the final sum.
$\sum_{i=1}^{11}33 x_{i} = -1452 -1749 -594 +1881 -132 -33 -1749 +2904 -2211 -105 -759 = -810$ The sum of the measurements, each multiplied by33, is -810.

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