High School Competency Test A mandatory competency test for high school sophomores has a normal distribution with a mean of415and a standard deviation of100. Round the final answers to the nearest whole number and intermediatez-value calculations to2decimal places. Part: 0 / 20 of 2 Parts Complete Part 1 of 2 (a)The top1%of students receive$500. What is the minimum score you would need to receive this award? The minimum score needed to receive the award is .

Given Mean=415 Standard deviations=100

Answered: High School Competency Test A mandatory…

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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High School Competency Test A mandatory competency test for high school sophomores has a normal distribution with a mean of

415

and a standard deviation of

100

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

-value calculations to

decimal places.

Part: 0 / 2

0 of 2 Parts Complete

Part 1 of 2

(a)The top

of students receive

$500

. What is the minimum score you would need to receive this award?

The minimum score needed to receive the award 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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