To find the average of the given set of measurements, we need to follow a few straightforward steps:
1. Sum all the measurements: We need to add together all the values in the set. [tex]\[
7.1 + 9.8 + 2.3 + 8.5 + 7.4 + 5.7
\][/tex]
The total sum of these measurements is [tex]\( 40.8 \)[/tex] grams.
2. Count the number of measurements: We need to determine how many values are in the set.
There are [tex]\( 6 \)[/tex] measurements in total.
3. Calculate the average: The average is calculated by dividing the total sum of the measurements by the number of measurements. [tex]\[
\text{Average} = \frac{\text{Total Sum}}{\text{Number of Measurements}} = \frac{40.8}{6}
\][/tex]
The average is [tex]\( 6.8 \)[/tex] grams.
So, the average of the set of measurements is: [tex]\[
\boxed{6.8 \text{ g}}
\][/tex]
Given the multiple-choice options, the correct answer is [tex]\( \text{A. } 6.8 \text{ g} \)[/tex].
