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On an exam, would it be more desirable to earn a grade with a high or low percentile? Explain.

Short Answer

Expert verified
A high percentile is more desirable as it indicates better performance relative to peers.

Step by step solution

01

Understanding Percentiles

A percentile indicates the percentage of scores that fall below a given score in a distribution. For example, being in the 75th percentile means that 75% of the scores are below your score. Percentiles are a way of ranking or comparing scores to a broader group.
02

Determining the Desirable Outcome

When it comes to grades on an exam, you'd want to outperform as many peers as possible to achieve a better outcome. This implies a higher ranking or position compared to others taking the same exam.
03

Applying Percentile Definition

Since a higher percentile means a larger portion of scores are below your score, achieving a high percentile reflects better performance. Therefore, a high percentile is associated with scoring better compared to your peers.

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Key Concepts

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

Understanding Exam Grading
Exam grading often utilizes various systems to gauge how well students perform. Among these systems, percentiles are frequently used to describe how a student's score compares to their peers. Unlike raw scores that merely tell you the number of correct answers, percentiles provide a relative measure. They show where a student's performance stands compared to others. For instance, if a student is in the 90th percentile, it means they scored better than 90% of their peers. It is essential to understand this distinction because achieving a higher percentile indicates a higher rank and thus, a better performance relative to others. In the realm of education, having a high percentile is generally desirable. It reflects not only one's understanding of the material but also an advancement over a considerable number of peers. When preparing for exams, aiming for a higher percentile can motivate students to perform at their best.
Comparing Student Performance
When it comes to assessing student performance, percentiles allow for an effective comparison. Schools and educators use these metrics to gain insights into where a student stands amid their peers. In a class or exam, percentiles highlight differences in performance.
  • Percentiles help identify top performers who are exceeding expectations.
  • They also bring to light students who may need additional support.
  • Overall, percentiles offer a lot more context than simply providing grades or scores.
By comparing where students fall within different percentiles, educators can tailor their teaching methods and provide targeted help where needed. Percentiles make it easier to interpret academic achievements and challenges, ensuring that those who excel are recognized, and those who struggle are given the guidance they require to improve.
Statistical Ranking in Education
Statistical ranking in education offers a comprehensive view of student performance across different metrics. Percentiles are a central part of this process, serving as a statistical tool to rank students. The idea is simple: the higher the percentile, the better the performance relative to peers. This method of ranking effectively creates a hierarchy based on academic achievement.
  • It encourages healthy competition among students.
  • It enables schools to meet educational standards and benchmarks.
  • It provides data-driven insights for educational policy-making.
Despite its benefits, statistical ranking is not without challenges. It requires careful interpretation to ensure that scores reflect true learning and are not merely the result of test-taking strategies. Educators and policymakers often use these rankings to allocate resources, recognize areas of improvement, and celebrate student achievements, shaping the educational landscape to nurture academic excellence.

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Most popular questions from this chapter

Use the following information to answer the next three exercises: The following data show the lengths of boats moored in a marina. The data are ordered from smallest to largest: 16; 17; 19; 20; 20; 21; 23; 24; 25; 25; 25; 26; 26; 27; 27; 27; 28; 29; 30; 32; 33; 33; 34; 35; 37; 39; 40 Identify the median.

A survey of enrollment at 35 community colleges across the United States yielded the following figures: 6414; 1550; 2109; 9350; 21828; 4300; 5944; 5722; 2825; 2044; 5481; 5200; 5853; 2750; 10012; 6357; 27000; 9414; 7681; 3200; 17500; 9200; 7380; 18314; 6557; 13713; 17768; 7493; 2771; 2861; 1263; 7285; 28165; 5080; 11622 a. Organize the data into a chart with five intervals of equal width. Label the two columns "Enrollment" and "Frequency." b. Construct a histogram of the data. c. If you were to build a new community college, which piece of information would be more valuable: the mode or the mean? d. Calculate the sample mean. e. Calculate the sample standard deviation. f. A school with an enrollment of 8000 would be how many standard deviations away from the mean?

a. For runners in a race, a higher speed means a faster run. Is it more desirable to have a speed with a high or a low percentile when running a race? b. The 40th percentile of speeds in a particular race is 7.5 miles per hour. Write a sentence interpreting the 40th percentile in the context of the situation.

Use the following information to answer the next nine exercises: The population parameters below describe the full-time equivalent number of students (FTES) each year at Lake Tahoe Community College from 1976–1977 through 2004–2005. \(\bullet \mu=1000 \mathrm{FTES}\) \(\bullet\) median \(=1,014 \mathrm{FTES}\) \(\bullet \quad \sigma=474 \mathrm{FTES}\) \(\cdot\) first quartile \(=528.5\) FTES \(\cdot\) third quartile \(=1,447.5\) FTES \(\cdot n=29\) years A sample of 11 years is taken. About how many are expected to have a FTES of 1014 or above? Explain how you determined your answer.

Use the following information to answer the next three exercises: State whether the data are symmetrical, skewed to the left, or skewed to the right. 87; 87; 87; 87; 87; 88; 89; 89; 90; 91

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