To determine the correct statement regarding the consistency of the baby's naps, we need to focus on the standard deviations provided in the data. The standard deviation is a measure of the amount of variation or dispersion in a set of values. A higher standard deviation indicates less consistency because the values are more spread out from the mean.
Here are the details given:
- [tex]\(1^{\text{st}}\)[/tex] Nap: Mean = 83 minutes, Standard Deviation (SD) = 9 minutes
- [tex]\(2^{\text{nd}}\)[/tex] Nap: Mean = 52 minutes, Standard Deviation (SD) = 6 minutes
- [tex]\(3^{\text{rd}}\)[/tex] Nap: Mean = 39 minutes, Standard Deviation (SD) = 11 minutes
We are interested in determining which nap is the least consistent in duration, which would correspond to the highest standard deviation. Let's compare the standard deviations for each nap:
- Standard Deviation of [tex]\(1^{\text{st}}\)[/tex] Nap: 9 minutes
- Standard Deviation of [tex]\(2^{\text{nd}}\)[/tex] Nap: 6 minutes
- Standard Deviation of [tex]\(3^{\text{rd}}\)[/tex] Nap: 11 minutes
We see that the [tex]\(3^{\text{rd}}\)[/tex] nap has the highest standard deviation (11 minutes), indicating that it has the greatest variability in duration and is therefore the least consistent.
Thus, the correct statement is:
A. The [tex]\(3^{\text{rd}}\)[/tex] nap is the least consistent in duration because its standard deviation is the highest.
