Some states have college admission programs that guarantee the top pof high school graduates (in terms of GPA) admission into a state university. Suppose a state guarantees the top 10% of high school students admission into its university system. In addition, suppose the distribution of all high school students' GPAs are normally distributed with a mean of 3.1 and standard deviation of 0.18. Determine the minimum GPA required for a student to be guaranteed admission into the state's university system. Round the solution to two decimal places, if necessary .

Some states have college admission programs that guarantee the top pof high school graduates (in terms of GPA) admission into a state university. Suppose a state guarantees the top 10% of high school students admission into its university system. In addition, suppose the distribution of all high school students' GPAs are normally distributed with a mean of 3.1 and standard deviation of 0.18. Determine the minimum GPA required for a student to be guaranteed admission into the state's university system. Round the solution to two decimal places, if necessary .

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 7PPS

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Question

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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