Romang67 wrote:
We're looking for what MUST be true:
A: The median on a box plot is the line inside the box. Here, that line falls closer to the right than the left, which means that the median is closer to the 75th percentile (median of upper half of data) than the 25th percentile (median of lower half of data).
B: We have no clue what the distribution of the data is, so we can safely say that this mustn't be true. We can also note that the median doesn't fall on the 50th percentile, so this isn't true.
C: The set clearly has some kind of spread, so the SD is greater than 0.
The answer is just C.
Can the SD ever be negative?
Also, how are you stating that the median doesn't fall on the 50th percentile?
Thanks