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?

Answer 1

The drama club sample comes from a more varied group of students, so it is less likely to be biased or The drama club sample is large enough for inferences.

Answer 2

The mean can be calculated by average or sum of sample data divided by count the number of sample data.

The drama club data sample is more accurate than Helena sample.

Given:

Mean from drama club members is 16.

Mean from Helena is 22.5

The data sample from drama club members is more accurate because they chosen large sample and it is random sample which represent the target population. Also, the data from drama club is randomly chosen and more representative.

Thus, the drama club data sample is more accurate than Helena sample.

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