These are sample practice MCQs created for exam preparation. These are NOT official exam questions.
What is the median of set {x, y, z, w, v} where x < y < z < w < v? (1) x = 5 and v = 15 (2) The average of the set is 10
Question:
What is the median of set {x, y, z, w, v} where x < y < z < w < v? (1) x = 5 and v = 15 (2) The average of the set is 10
What is the median of set {x, y, z, w, v} where x < y < z < w < v? (1) x = 5 and v = 15 (2) The average of the set is 10
Options
Answer: (E) Statements (1) and (2) TOGETHER are NOT sufficient
Explanation:
Median of 5 ordered numbers is the 3rd value, which is z. Statement (1): x = 5, v = 15 does not determine z. Insufficient. Statement (2): Average = 10 means sum = 50, but does not determine z. Insufficient. Together: x + y + z + w + v = 50 with x = 5, v = 15, so y + z + w = 30. Still many possibilities for z (e.g., y=8, z=10, w=12 or y=6, z=12, w=12). Insufficient.
Explanation:
Median of 5 ordered numbers is the 3rd value, which is z. Statement (1): x = 5, v = 15 does not determine z. Insufficient. Statement (2): Average = 10 means sum = 50, but does not determine z. Insufficient. Together: x + y + z + w + v = 50 with x = 5, v = 15, so y + z + w = 30. Still many possibilities for z (e.g., y=8, z=10, w=12 or y=6, z=12, w=12). Insufficient.
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