Lana and Jeff each randomly surveyed 15 students about their favorite types of movies. Are these samples representative of the school population? Explain.

Question

No, the samples are not large enough to be representative.


Yes, both samples are random, so they are representative.


No, the samples might include some of the same people, so they are not representative.


Yes, the samples do not include the same people, so they are representative.

Answer 1

The correct response is:

No, the samples might include some of the same people, so they are not representative.

While the samples being random is a positive factor, the small sample size of 15 students each raises concerns about representativeness, particularly if there is a chance that both surveys may have included overlapping participants. This can skew the results and limit the generalization of the findings to the overall school population.