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Megan is preparing for her soccer team to travel to Phoenix for a
tournament. She needs to know how many families would prefer to stay at
hotel for the night or drive back to Tucson. To answer this, she asks 4
teammates from each age group.
Sampling:
Biased or Unbiased:

Ask by Jimenez Kelly. in the United States
Mar 25,2025

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Megan’s sampling method is likely biased because she only surveys 4 teammates from each age group, which may not accurately represent all families’ preferences.

Solución

To determine whether Megan’s sampling method is biased or unbiased, we need to consider the following:
  1. Sampling Method: Megan is asking 4 teammates from each age group. This means she is selecting a specific number of individuals from each age group rather than randomly selecting individuals from the entire team.
  2. Representation: If the age groups are not representative of the entire team’s preferences, then the sample may not accurately reflect the opinions of all families. For example, if one age group has a significantly different preference than another, this could skew the results.
  3. Size of Sample: The sample size of 4 from each age group may also be too small to capture the diversity of opinions within those groups.
Based on these considerations, Megan’s sampling method can be considered biased if the age groups do not represent the overall preferences of all families. If the age groups are representative and the sample size is adequate, it could be considered unbiased. However, without more information about the age groups and the overall team composition, we lean towards it being biased due to the potential lack of representation.

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Beyond the Answer

Megan’s method of sampling could lead to biased results. By only asking 4 teammates from each age group, she may not be capturing the full range of opinions from all families, especially if certain age groups have different needs or preferences regarding accommodations. This limited sample could overlook the desires of those who might not have been included in her small selection.
To enhance the accuracy of her findings, Megan could consider a more inclusive approach by surveying all families attending the tournament. Additionally, using random sampling would help ensure that every family has a fair chance to express their preferences, leading to more reliable results when making arrangements.

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