In a recent year, 11th grade Ohio public school students taking an English test produced test scores that were normally distributed with a mean of 83 and a standard deviation of 5.9. Let x be a random variable that represents a test score. What is the lowest score that would still place a student in the top 20% of the scores?

In a recent year, 11th grade Ohio public school students taking an English test produced test scores that were normally distributed with a mean of 83 and a standard deviation of 5.9. Let x be a random variable that represents a test score. What is the lowest score that would still place a student in the top 20% of the scores?

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

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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