A band was playing in front of a live audience. To determine if there was a particular age group that attended the concert, every fifth audience member was anonymously asked their age as they left the concert. For this survey, which of the following statements best describes if the sample is biased and why. There was bias because only people at the concert were sampled, so the survey was based on a convenience sample. There was bias because only people at the concert were sampled, so the survey was based on a self-selected sample. There was bias because the survey was based on a systematic sample that does not represent the entire population. There was no bias because people were asked about their age. There was no bias because the survey was based on a systematic sample that represented the entire population. There was no bias because only people at the concert were sampled, so the survey was based on a convenience sample.
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Beyond the Answer
Surveys like this one are often impacted by how the sample is chosen. Since the survey only included every fifth audience member leaving the concert, it could potentially miss demographic groups that may not attend or participate at the same rate, creating a form of systematic bias. If younger attendees tend to leave quickly, their ages might be underrepresented in the survey. Additionally, while systematic sampling is generally a reliable method, it can lead to issues if the sampling interval happens to align with a pattern in the population. For instance, if every fifth person leaving tends to be from a specific age group due to concert arrangements or exit flow, it can skew the results significantly, leading to an inaccurate representation of the audience’s age distribution.
