Select the correct answer. A mother tracks the duration of her baby's three daily naps for a few weeks. The mean time, in minutes, and the standard deviation, SD, for each nap are recorded in the table below. 1st Nap 2nd Nap 3rd Nap Mean = 83 SD = 9
To determine which statement is true, we should analyze the standard deviations (SD) given for each nap, as the standard deviation measures the consistency or variability of the durations.
1st Nap: Mean = 83, SD = 9
2nd Nap: Mean = 52, SD = 6
3rd Nap: Mean = 39, SD = 11
Now let's evaluate each statement:
A. The 1st nap is the least consistent in duration because its mean is the highest.
- This statement incorrectly suggests that the mean is a measure of consistency. The mean does not determine consistency; the standard deviation does.
B. The 2nd nap is the least consistent in duration because its standard deviation is the lowest.
- This statement is incorrect. A lower standard deviation indicates greater consistency, not less.
C. The 3rd nap is the least consistent in duration because its mean is the lowest.
- This statement is also incorrect. Like statement A, it confuses mean with consistency.
D. The 3rd nap is the least consistent in duration because its standard deviation is the highest.
- This statement is correct. The 3rd nap has the highest standard deviation (11), indicating it is the least consistent in duration.
Therefore, the correct answer is:
**D. The 3rd nap is the least consistent in duration because its standard deviation is the highest.**