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In the SPRING 2024 semester, Leo Parks, took four final exams. The exam mean and standard deviation for each course (class) along with Leo's score

In the SPRING 2024 semester, Leo Parks, took four final exams. The exam mean and standard deviation for each course (class) along with Leo's score on each exam are listed in the table below. Assume that the exam scores for each course are NORMALLY DISTRIBUTED (i.e. shaped like normal curve) and answer question a. thru f.

Exam Mean for cohort (class) Standard deviation for cohort (class) Leo's Score
Introduction to Sociology 77 4 87
Life and Teachings of Christ 77 2 83
Principles of Psychology 69 3 74
Freshman Composition II 68 3 69

  1. With respect to the normal curve what is a percentile rank? Give an example using a diagram
  2. Calculate Leo's percentile rank for the Freshman Composition II
  3. On which exam did Leo do best relative to the other students in the class
  4. What proportion of students scored below 89 on the Introduction to Sociology exam?
  5. What percentage of students scored above 79 on the Life and Teachings of Christ exam

Draw diagrams of the normal curve before answering the questions

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