The mayor surveyed the first 15 people to arrive for a town meeting.Is this sample of the residents of the town likely to be representative?Choices:(A)yes(B)no
Q. The mayor surveyed the first 15 people to arrive for a town meeting.Is this sample of the residents of the town likely to be representative?Choices:(A)yes(B)no
Understand the problem: Step 1: Understand the problem.The mayor wants to know if the first 15 people at a town meeting represent the whole town. We need to think about what "representative" means in statistics.
Analyze sample size: Step 2: Analyze the sample size and diversity.15 people is a very small number compared to a whole town's population. Usually, a representative sample should be larger and randomly selected to reflect the entire population's diversity in age, gender, race, and more.
Make decision: Step 3: Make a decision based on statistical principles.Since the sample is small and not randomly selected, it's unlikely to represent the whole town accurately.