for a class assignment, ty;er will conduct a survey to find out what students like to do after school. He askes the first 10 people he sees in a gymnasium before school what they like to do after school. Is this date that will be representative of the population

Answer 1

Tyler's approach to conducting the survey may not yield data that is representative of the entire student population. Here are a few reasons why:

1. Sampling Bias: By only surveying the first 10 people he sees in a gymnasium, Tyler is likely only capturing the opinions of students who are physically present in that location. This group may not reflect the diversity of interests and activities of all students. For example, students who prefer to engage in clubs, academic activities, or hobbies outside of sports may be underrepresented.

2. Limited Sample Size: A sample size of only 10 people is quite small, which increases the margin of error. The responses may be influenced by specific interests of those individuals rather than providing an accurate picture of the whole student body.

3. Timing: Surveying students before school may also impact who is available and willing to respond. Those who arrive early for sports practices or other activities might have different after-school interests compared to students who arrive closer to the starting bell.

To enhance the representativeness of the survey, Tyler could consider a more systematic method of sampling, such as randomly selecting students from various different areas of the school (e.g., library, cafeteria, etc.) or distributing a survey electronically to reach a larger and more diverse group of students.