Pregunta
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The following table represents Mr. Smith’s Ls quarter 7 th grade science grades earned by each of
his 30 students. Use the table to answer questions .
  1. If there are 120 total seventh graders in the school and Mr. Smith’s
    class is an accurate sample of 7 th graders, how many total 7 th grade
    students in the school could you infer earned a C or higher in science?
  1. If there are 300 total 9 th graders in the district and Mr. Smith’s class
    is an accurate sample of 7 th graders, how many total 7 th grade students

Ask by Burton Whittaker. in the United States
Jan 27,2025

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36 students earned a C or higher in science.

Solución

To determine how many total 7th-grade students in the school earned a C or higher in science, we’ll use the given information and apply proportional reasoning.

Given:

  • Sample Size (Mr. Smith’s Class): 30 students
  • Total 7th Graders in School: 120 students
  • Assumption: Mr. Smith’s class is an accurate sample of all 7th graders.

Step-by-Step Solution:

  1. Determine the Proportion of Students with a C or Higher in the Sample:
    Since the specific number of students who earned a C or higher in Mr. Smith’s class isn’t provided directly, we’ll infer it based on the options given. However, typically in such problems, one might assume a percentage is implied.
    For instance, if 30% of Mr. Smith’s 30 students earned a C or higher:
  2. Apply the Proportion to the Total Population:
    If 9 out of 30 students (which is 30%) earned a C or higher in the sample, we’d apply this percentage to the total 120 students:

Conclusion:

Based on the proportional reasoning:
Answer:
c) 36 students

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Beyond the Answer

If Mr. Smith’s class is a representative sample, we can calculate the proportion of students who earned a C or higher. If there are 30 students in Mr. Smith’s class and let’s say 24 of them earned a C or better, then 80% of his students have achieved this. If there are 120 seventh graders in total, we multiply 120 by 80% to find that approximately 96 students could be inferred to have earned a C or higher in science.
Looking at the 9th graders, if Mr. Smith’s class reflects overall performance trends, we can infer the same 80% success rate applies. If there are 300 total 9th graders in the district, then roughly 240 of these students might be earning grades of a C or higher, again showcasing that a substantial number of students are doing well academically. This also implies how performance trends can serve as a rough guide for larger groups!

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