I pick a. Is it correct?

Which of the following measurements is likely to have the least variation (the smallest standard deviation)?
a. The volume of liquid in a simple of unopened 2-liter bottles of sodas.

b. The SAT scores of a class of graduating high school seniors.

c. The individual heights if children, measured in inches, in a randomly selected class of 6th grade students.

d. The miles per gallon in a randomly selected sample of cars from the freeway.

I would agree

To determine which measurement is likely to have the least variation (smallest standard deviation), we need to consider the nature of each measurement.

a. The volume of liquid in a sample of unopened 2-liter bottles of sodas:
Since the bottles are unopened and produced under regulated standards, the volume of liquid in each bottle is likely to be very consistent. Therefore, there should be minimal variation and a small standard deviation.

b. The SAT scores of a class of graduating high school seniors:
SAT scores are influenced by various factors, such as individual abilities, preparedness, and test-taking strategies. As a result, there is likely to be a wider range of scores and more variability, leading to a larger standard deviation compared to the other measurements.

c. The individual heights of children, measured in inches, in a randomly selected class of 6th-grade students:
Children in the same grade level could have noticeable height variations due to growth spurts and genetic factors. Hence, the heights of children are expected to have some variation, resulting in a larger standard deviation compared to the first measurement.

d. The miles per gallon in a randomly selected sample of cars from the freeway:
Cars differ in their make, model, engine size, and fuel efficiency. Hence, there could be a considerable difference in miles per gallon between different vehicles, resulting in a larger standard deviation.

Based on the explanations provided, option a. The volume of liquid in a sample of unopened 2-liter bottles of sodas, is likely to have the least variation (smallest standard deviation) among the given measurements.