The scores on a nationwide mathematics aptitude exam are normally distributed, with µ = 80 and σ = 12. (5 points each) What is the percentile rank of a score of 84? What percentage of scores fall between 64 and 90?

The scores on a nationwide mathematics aptitude exam are normally distributed, with µ = 80 and σ = 12. (5 points each) What is the percentile rank of a score of 84? What percentage of scores fall between 64 and 90?

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

Analyze and solve the following problems on the applications of probability normal distribution.

The scores on a nationwide mathematics aptitude exam are normally distributed, with µ = 80 and σ = 12. (5 points each)

What is the percentile rank of a score of 84?
What percentage of scores fall between 64 and 90?
What percentage of aptitude scores are below a score of 66?
What percentage of scores fall between 64 and 90?
Find the percentage of aptitude scores falling between the scores of 95 and 110.

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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