Li designed a survey to determine how comfortable students at her middle school are with fractions. There are 600 students in her middle school. The students are equally distributed among grade levels. She selected a sample of 28 students in her first-period class. Which best explains Li’s sample?

random and biased
random and unbiased
nonrandom and biased
nonrandom and unbiased

1 answer

Li's sample can be best described as "nonrandom and biased."

Here's the reasoning:

  • Nonrandom: The sample consists solely of students from her first-period class, rather than being selected randomly from all 600 students at the school. This doesn't represent the entire student population.
  • Biased: Because the sample is taken from only one class, it may not accurately reflect the views and experiences of students across different grades or classes, leading to potential bias in the results.

Therefore, the correct choice is "nonrandom and biased."