A mandatory competency test for high school sophomores has a normal distribution with a mean of 425 and a standard deviation of 83. Round the final answers to the nearest whole number and intermediate z-value calculations to 2 decimal places.(b)The bottom 3.5% of students must go to summer school. What is the minimum score you would need to stay out of this group? The minimum score needed to stay out of this group is .

It is given that Mean, μ = 425 Standard deviation, σ = 83 Z-Score, Z = ( X - μ )/σ

Answered: The bottom 3.5% of students must go…

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter11: Data Analysis And Displays

Section11.3: Shapes Of Distributions

Problem 14E

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A mandatory competency test for high school sophomores has a normal distribution with a mean of

425

and a standard deviation of

. Round the final answers to the nearest whole number and intermediate

-value calculations to

decimal places.

(b)The bottom

3.5%

of students must go to summer school. What is the minimum score you would need to stay out of this group?

The minimum score needed to stay out of this group is

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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