Question

helena asked five drama club members in her homeroom how many tickets they had sold. the mean number of tickets sold was 16. then she took ten random samples from the entire drama club of 75 students. the mean number of tickets sold was 22.5. compare the means. is one sample a better representation? explain why or why not.

Explanation:

Step1: Consider sample - size principle

Larger and random samples are better.

Step2: Analyze the two samples

The first sample has 5 members from homeroom, not random for whole club. The second has ten random samples from 75 - student club.

Step3: Make a conclusion

The second sample is better as it's random and larger relative to the first one.

Answer:

The mean of ten random samples from the 75 - student drama club (22.5) is a better representation. This is because it is a random sample and has a relatively larger sample - size compared to the first sample of 5 members from the homeroom.