TheUltimateWinner wrote:
The average of Set S is greater than that of Set B. Is the median of Set A greater than the median of Set B?
1) The range of set A is less than that of set B
2) The highest number in Set A is greater than the highest number in Set B
Let's analyze the given information and the statements:
Given: The average of Set S is greater than that of Set B.
We need to determine whether the median of Set A is greater than the median of Set B.
Statement 1: The range of Set A is less than that of Set B.
- The range is the difference between the highest and lowest values in a set. However, the range alone doesn't provide information about the distribution of values within the set. For example, Set A could have a smaller range but still have a higher concentration of values around the median.
- Statement 1 is insufficient.
Statement 2: The highest number in Set A is greater than the highest number in Set B.
- This statement also does not provide information about the distribution of values. It only compares the highest numbers in the two sets, but the rest of the values may not follow the same pattern.
- Statement 2 is insufficient.
Combining both statements:
- Even when combined, the information about the range and the highest numbers doesn't guarantee information about the distribution of values around the median.
- The combination is insufficient.
Therefore, the answer is (E) Insufficient information.