Algebraic Manipulation of a Median

Welcome! You are encouraged to register with the site and login (for free). When you register, you support the site and your question history is saved.

If the median of a series of C consecutive integers is M, and M is a member of the series, what is the smallest member of the series?

Review: Algebraic Manipulation of a Median


Explanation

M is the median of a set of consecutive numbers and it's also a member, so we know the number of elements in this set is odd. Half the numbers are above and half below, except for the one in the middle. So (A) looks right. We can test with a case. Say our set is 7, 8, 9, 10, 11, which is a set of 5 integers, so C=5 and M=9. Indeed, we want to subtract from 9 to get 7. We can also see from this case that the other answer choices are incorrect.

The correct answer is (A).


If you believe you have found an error in this question or explanation, please contact us and include the question title or URL in your message.