Question

Students are voting on the color of T-shirts to wear on their field trip. There are 160 students-65 boys and 95 girls-going or

the field trip. A random sample of students is chosen. Surveying the random sample produced a representative sample of th
population. Which was most likely true of the representative sample?
The representative sample contained all 160 students.
The representative sample contained more boys than girls.
The representative sample contained more girls than boys.
The representative sample contained an equal number of boys and girls.

Answer 1

C

Explanation:

Because I said so

Answer 2

The representative sample contained more girls than boys.

The point of a representative sample is to imitate the original population and not duplicate it. It is a more small scale representation of the original study.

With this in mind the first answer choice is wrong because it duplicates the original.
Since the representative sample imitates the original it needs to have the same properties as the original ,in this case there were more girls than boys, the second answer is also wrong.

The third one is correct because it had the same criteria as the original (more boys that girls).

The fourth one is wrong for the same reason as the second answer choice. It doesn’t fit the criteria.