Certainly! Let's go through the sum of the given measurements step-by-step.
We are given the measurements:
[tex]\[ 12, 15, 6, 12, 19 \][/tex]
These can be labeled as:
[tex]\[ x_1 = 12, \, x_2 = 15, \, x_3 = 6, \, x_4 = 12, \, x_5 = 19 \][/tex]
We need to compute the sum of these measurements:
[tex]\[ \sum_{i=1}^5 x_i \][/tex]
This expression means we sum all the values from [tex]\( x_1 \)[/tex] to [tex]\( x_5 \)[/tex]:
[tex]\[ x_1 + x_2 + x_3 + x_4 + x_5 \][/tex]
Substitute the given values into this sum:
[tex]\[ 12 + 15 + 6 + 12 + 19 \][/tex]
Adding these together:
[tex]\[ 12 + 15 = 27 \][/tex]
[tex]\[ 27 + 6 = 33 \][/tex]
[tex]\[ 33 + 12 = 45 \][/tex]
[tex]\[ 45 + 19 = 64 \][/tex]
Thus, the total sum of the measurements is:
[tex]\[ \sum_{i=1}^5 x_i = 64 \][/tex]
