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Deb polled the first $49$ runners to finish a marathon. $\newline$ Is this sample of the runners likely to be biased? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Identify biased samples

Full solution

Q. Deb polled the first

49

runners to finish a marathon.

\newline

Is this sample of the runners likely to be biased?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Understand the problem: Step $1$ : Understand the problem. $\newline$ Deb polled the first $49$ runners to finish a marathon. We need to determine if this sample is likely to be biased.
Analyze sampling method: Step $2$ : Analyze the sampling method. Polling the first $49$ runners focuses only on the fastest participants, which might not represent the entire group of marathon runners, including those with average or slower speeds.
Determine bias in sample: Step $3$ : Determine if the sample is biased. $\newline$ Since the sample includes only the top finishers, it is not a random sample of all participants. This can lead to a biased view towards faster runners' opinions or characteristics.

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