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91Ó°ÊÓ

Give the relevant proportion using correct notation. Of all 1,672,395 members of the high school class of 2014 who took the SAT (Scholastic Aptitude Test), 793,986 were minority students.

Short Answer

Expert verified
The proportion of minority students who took the SAT in 2014 can be represented as \( \frac{ 793,986 }{ 1,672,395 } \), which simplifies to approximately 0.475 based on rounding to three decimal places.

Step by step solution

01

Identify necessary variables

The total number of students who took the SAT in 2014 is 1,672,395 and the number of minority students is 793,986.
02

Calculation of proportion

The basic formula for calculating proportion is \( \frac{ 'part' }{ 'whole' } \). Here 'part' is the number of minority students who took the test and 'whole' represents the total number of students. So, substitute the given values into the formula, the proportion of minority students is \( \frac{ 793,986 }{ 1,672,395 } \).
03

Simplifying

Simplify the fraction obtained in step 2 using a calculator. The result can be rounded to the desired decimal places.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Proportions
In mathematics, a proportion represents the relationship between two numbers or quantities. It is a way to express a part-to-whole relationship. The basic formula involves dividing a 'part' by the 'whole'.
For example, if you want to find the proportion of minority students who took the SAT in 2014:
  • The 'part' is the number of minority students, which is 793,986.
  • The 'whole' is the total number of students who took the SAT, which is 1,672,395.
The proportion is calculated using the formula:\[\text{Proportion} = \frac{\text{part}}{\text{whole}} = \frac{793,986}{1,672,395}\]This fraction can be simplified to make it easier to understand. By simplifying, you find how much of the total group belongs to the minority group.
Proportions are useful in statistics to express different types of data, allowing better understanding and comparison of relationships within data sets.
SAT Examination
The SAT, or Scholastic Aptitude Test, is a standardized test widely used for college admissions in the United States. It assesses a student's readiness for college and provides colleges with common data points to compare all applicants.
A large number of students, such as the 1,672,395 from the class of 2014, take the SAT every year. This makes it a significant dataset for educational and statistical analysis.
SAT scores help in determining the academic capabilities of students:
  • They measure knowledge in areas such as math and evidence-based reading and writing.
  • They are often used for college admissions decisions and scholarship opportunities.
  • Trends over time can show how certain groups, like minority students, are performing in education on a broader scale.
Understanding the demographic makeup of test-takers, like the proportion of minority students, can lead to insights on educational equality and the accessibility of higher education opportunities.
Minority Students
When analyzing data related to SAT takers, minority students represent a crucial demographic. Minority students can include those from different ethnic, racial, or cultural backgrounds that are not the majority in a particular context.
In the context of the SAT, focusing on minority students helps to understand educational disparities and progress toward equality:
  • Examining proportions of minority students helps in understanding their representation in higher education.
  • It allows for identification of gaps where minority students may be underrepresented.
  • Understanding these statistics supports efforts for educational funding and resources targeted to underrepresented groups.
For the high school class of 2014, 793,986 minority students took the SAT, showcasing their participation levels and the importance of considering their outcomes in broader educational discussions. Proportional analysis of such data aids in assessing and promoting equal educational opportunities for all students.

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