We appreciate your visit to Some states have college admission programs that guarantee the top p of high school graduates in terms of GPA admission into a state university Suppose. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Final answer:
In the context of GPA rankings, a z-score is a statistical measure that reflects a student's GPA about the mean GPA. In a normal distribution, a z-score of 1.645 represents the top 5% of GPAs. Thus, a student in the top 5% of GPA rankings will have a z-score of 1.645.
Explanation:
To calculate the z-score associated with being in the top 5% of GPA rankings, we first need to understand what a z-score is. A z-score is a statistical measurement that describes a value's relationship to the mean of a group of values. It is measured in terms of standard deviations from the mean.
In a normal distribution, a z-score of 1.645 represents the top 5% of values. So, if we consider the distribution of GPAs among high school graduates with a normal distribution, the z-score associated with being in the top 5% of GPAs is 1.645.
Remember that a higher z-score indicates a greater number of standard deviations from the mean. So a student with a z-score of 1.645 has a GPA that is 1.645 standard deviations above the average high school GPA.
Learn more about z-score here:
https://brainly.com/question/15016913
#SPJ2
Thanks for taking the time to read Some states have college admission programs that guarantee the top p of high school graduates in terms of GPA admission into a state university Suppose. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
Final answer:
The z-score that corresponds to being in the top 5% of the GPA distribution in a standard normal distribution is approximately 1.645. This value indicates that the top 5% of students are 1.645 standard deviations above the mean. The z-score can be calculated through the formula: z = (X-μ)/σ, where X is the raw score, μ is the mean, and σ is the standard deviation.
Explanation:
To calculate the z-score that would relate to being in the top 5% in this context assumes that we're dealing with a normal distribution. For a standard normal distribution, the z-score that corresponds to the top 5% is approximately 1.645.
A z-score represents how many standard deviations a given data point deviates from the mean. Observations above the mean have positive z-scores, while those below have negative numbers. In the context of this problem, because the z-score is positive, it indicates that the students who are in the top 5% are 1.645 standard deviations above the average student, in regards to GPA.
The z-score is calculated using the following formula: z = (X-μ)/σ. X represents the raw score, μ is the mean, and σ is the standard deviation. However, to reverse the calculation with z-score on hand and find the weightage, you multiply the z-score by the standard deviation and add the mean.
Learn more about z-score here:
https://brainly.com/question/15016913
#SPJ11
