Answered: The GPAs of a large population of…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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The GPAs of a large population of university students are approximately normally distributed with mean 1.9 and standard deviation 0.62.

a) What fraction of students possesses a GPA in excess of 3.75?

b) If students whose GPA is in the top 5% receive a scholarship, what will the cutoff GPA be to receive a scholarship?

c) If five students are randomly selected from the student population, what is the probability that at least two of the five will possess a GPA less than 1.0?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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