Answered: High School Competency Test A mandatory…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 22PFA

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High School Competency Test A mandatory competency test for high school sophomores has a normal distribution with a mean of 475 and a standard deviation of 116. Round the final answers to the nearest whole number and intermediate z-value calculations to 2 decimal places.

(a)The top 4% of students receive $500. What is the minimum score you would need to receive this award?

(b)The bottom 1.5% of students must go to summer school. What is the minimum score you would need to stay out of this group?

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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