Answer:
The second lake is deeper.
Explanation:
The mean depth of a lake is the average depth of the lake, taking into account all of the different depths that are measured. The standard deviation of a lake is a measure of how spread out the depths are around the mean. A higher standard deviation means that the depths are more spread out, while a lower standard deviation means that the depths are more tightly clustered around the mean.
In this case, the second lake has a higher mean depth (60 feet) than the first lake (45 feet). This means that, on average, the second lake is deeper than the first lake. However, the second lake also has a higher standard deviation (27 feet) than the first lake (8 feet). This means that the depths of the second lake are more spread out around the mean than the depths of the first lake.
Despite the higher standard deviation, the second lake is still deeper than the first lake because of its higher mean depth. This is because the mean depth takes into account all of the different depths that are measured, while the standard deviation only measures how spread out the depths are around the mean.
For example, the second lake could have some very deep areas (e.g., 100 feet) and some very shallow areas (e.g., 20 feet), but the mean depth would still be 60 feet because it takes into account all of the different depths. The first lake, on the other hand, could have a more uniform depth (e.g., most areas are between 40 and 50 feet deep), but the mean depth would still be 45 feet because it is the average of all of the different depths.
Therefore, the second lake is deeper than the first lake, even though it has a higher standard deviation.