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Lena surveyed the 77 top-ranking students in the high school.\newlineIs this a random sample of the students in the school?\newlineChoices:\newline(A) yes\newline(B) no

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Identify representative, random, and biased samplesright chevron icon

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Q. Lena surveyed the 77 top-ranking students in the high school.\newlineIs this a random sample of the students in the school?\newlineChoices:\newline(A) yes\newline(B) no
  1. Understand the problem: Step 11: Understand the problem.\newlineLena surveyed the 77 top-ranking students in the high school. We need to determine if this is a random sample of the students in the school.
  2. Define random sample: Step 22: Define a random sample.\newlineA random sample means every member of the population has an equal chance of being selected.
  3. Analyze sample group: Step 33: Analyze the sample group.\newlineThe sample consists only of the top-ranking students. This group is not representative of all students because it doesn't include students with lower ranks or different academic performances.
  4. Compare sample criteria: Step 44: Compare the sample criteria to the definition of a random sample.\newlineSince the sample is specifically chosen based on high ranks, not all students had an equal chance of being selected. This does not meet the criteria for a random sample.

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