Trudy researched 6 downtown districts throughout each county in her state. Each county has an equal number of downtown districts. Is this sample of the downtown districts in the state likely to be representative? Choices: (A)yes (B)no

Research and Selection: Trudy researched 6 downtown districts throughout each county in her state, with each county having an equal number of downtown districts. To determine if this sample is representative, consider the diversity and size of the state. Consider State Diversity: If the state has many counties, sampling only 6 districts might not capture the variety in each county, especially if the counties are diverse in terms of population, area, or economic activity. Ensure Randomness and Proportionality: Representative samples typically require random and sufficiently large selections from the population to minimize bias. Sampling an equal number from each county doesn't guarantee randomness or proportionality if the counties differ significantly.

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Trudy researched $6$ downtown districts throughout each county in her state. Each county has an equal number of downtown districts. $\newline$ Is this sample of the downtown districts in the state likely to be representative? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Math Problems

Grade 7

Identify representative, random, and biased samples

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Q. Trudy researched

6

downtown districts throughout each county in her state. Each county has an equal number of downtown districts.

\newline

Is this sample of the downtown districts in the state likely to be representative?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Research and Selection: Trudy researched $6$ downtown districts throughout each county in her state, with each county having an equal number of downtown districts. To determine if this sample is representative, consider the diversity and size of the state.
Consider State Diversity: If the state has many counties, sampling only $6$ districts might not capture the variety in each county, especially if the counties are diverse in terms of population, area, or economic activity.
Ensure Randomness and Proportionality: Representative samples typically require random and sufficiently large selections from the population to minimize bias. Sampling an equal number from each county doesn't guarantee randomness or proportionality if the counties differ significantly.