Suppose the scores on a college entrance examination are normally distributed with a mean of 525 and a standard deviation of 110. A certain prestigious university will consider admission only for those applicants whose scores exceed the 95th percentile of the distribution. Find the minimum score an applicant must achieve in order to receive consideration for admission to the university. Round your answer up to the nearest integer.

Suppose the scores on a college entrance examination are normally distributed with a mean of 525 and a standard deviation of 110. A certain prestigious university will consider admission only for those applicants whose scores exceed the 95th percentile of the distribution. Find the minimum score an applicant must achieve in order to receive consideration for admission to the university. Round your answer up to the nearest integer.

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

Suppose the scores on a college entrance examination are normally distributed with a mean of 525 and a standard deviation of 110. A certain prestigious university will consider admission only for those applicants whose scores exceed the 95^th percentile of the distribution. Find the minimum score an applicant must achieve in order to receive consideration for admission to the university. Round your answer up to the nearest integer.

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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