6. In the figure above, what is the average (arithmetic mean) of w, x, y, and z?
Answer: D
It cannot be determined from the information given.
The average of w, x, y, and z cannot be calculated without additional information about the values of these variables. The problem does not provide specific numeric values or relationships between them, making it impossible to determine the average.
A) 90
Option A is incorrect because it presents a specific average value that cannot be confirmed without knowing the actual values of w, x, y, and z. Since no numerical data is provided, it cannot be assumed that the average equals 90.
B) 100
Option B is also incorrect, as it suggests that the average is 100 without any supporting data. The absence of specific values for w, x, y, and z means that 100 cannot be definitively established as the average.
C) 120
Option C is incorrect for similar reasons. It proposes a specific average of 120, but without the necessary information regarding the values of w, x, y, and z, this cannot be verified.
D) It cannot be determined from the information given.
Option D is correct because it accurately reflects the lack of information provided about the variables in question. The absence of specific values means that calculating an average is impossible.
Conclusion
The correct answer is D, as it highlights the impossibility of determining the average of w, x, y, and z due to insufficient information. Options A, B, and C incorrectly assume specific values, while D correctly identifies that the required data for calculation is not available. Thus, D is the only viable conclusion based on the given context.