Bunuel
What is the median of the 5 consecutive integers?
(1) The average (arithmetic mean) of the 5 consecutive numbers is 5
(2) The average (arithmetic mean) of the 5 consecutive numbers is an odd number
A dataset consists of five consecutive integers, and we need to answer the question:
median = ?
(Note: The median of an arithmetic sequence of numbers is always equal to the average. Consecutive integers can be regarded as consecutive terms in an arithmetic sequence because the difference between any two consecutive terms is constant.)
Statement One Alone:=> The average (arithmetic mean) of the 5 consecutive numbers is 5.
According to our note above, median = average = 5.
Statement one is sufficient. Eliminate answer choices B, C, and E.
Statement Two Alone:=> The average (arithmetic mean) of the 5 consecutive numbers is an odd number.
According to our note above, median = average = odd. Since there are infinitely many odd numbers, statement two is not sufficient.
Answer: A