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Test Scores of Boys and Girls

SATMAT-TREKJS

Washington Elementary School has a policy requiring that each classroom must contain an equal number of male and female students, and that each class must contain at least $12$ students, but no more than $28$ students.

On a recent standardized test, the scores of all of the students from a certain class were listed from the highest score to the lowest score. If the highest $4$ scores were achieved by female students, the $4th$ lowest score was a female's score, and the lowest $3$ scores were from male students, then which of the following conclusions must be true?

A

There must be at least two consecutive male scores somewhere in this list of scores, other than the three lowest male scores.

B

Among the top $9$ scores, there must be more female scores,than male scores.

C

The average score for all female students must be higher than the average score for all male students.

D

More female scores must be in the top half of the class scores than male scores.