Question

In an election, the median number of votes a candidate received in 6 towns was 250. Which statement MUST be true about this election?

OA. The total number of votes the candidate received in the election was 1500.
OB. The candidate received at least 250 votes in half of the 6 towns.
OC. The candidate received exactly 250 votes in at least two of the towns.
O D. The total number of votes received by all the candidates in the election was 1500.

Answer 1

If the median number of votes a candidate received in 6 towns was 250, it means that 3 towns had more than 250 votes and 3 towns had fewer than 250 votes. Therefore, statement B must be true: the candidate received at least 250 votes in half of the 6 towns. Statements A, C, and D are not necessarily true. Therefore, the answer is B. The candidate received at least 250 votes in half of the 6 towns.

Answer 2

B. The candidate received at least 250 votes in half of the 6 towns.

This is because the median number of votes is the middle value when all the vote counts are put in order. This means that at least three towns gave the candidate more than 250 votes, and at least three towns gave the candidate fewer than 250 votes. So, the candidate received at least 250 votes in half of the 6 towns. The total number of votes the candidate received in the election cannot be determined from this information. Similarly, the number of votes received in individual towns cannot be determined.