Scores on the SAT form a normal distribution with μ = 500 and σ = 100. a. What is the minimum score necessary to be in the top 15.87% of the SAT distribution. b. Find the z-scores that defines the middle 80% of the distribution of SAT scores by converting the following raw scores: 372 and 628. sd2. Scores on the SAT form a normal distribution with = 500 and o = 100.a) What is the minimum score necessary to be in the top 15.87% of the SAT distribution?b) Find the z-scores that defines the middle 80% of the distribution of SAT scores by converting thefollowing raw scores: 372 and 628.

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Scores on the SAT form a normal distribution with μ = 500 and σ = 100. a. What is the minimum score necessary to be in the top 15.87% of the SAT distribution. b. Find the z-scores that defines the middle 80% of the distribution of SAT scores by converting the following raw scores: 372 and 628.

Scores on the SAT form a normal distribution with μ = 500 and σ = 100. a. What is the minimum score necessary to be in the top 15.87% of the SAT distribution. b. Find the z-scores that defines the middle 80% of the distribution of SAT scores by converting the following raw scores: 372 and 628.

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

Scores on the SAT form a normal distribution with μ = 500 and σ = 100.

a. What is the minimum score necessary to be in the top 15.87% of the SAT distribution.

b. Find the z-scores that defines the middle 80% of the distribution of SAT scores by converting the following raw scores: 372 and 628.

sd
2. Scores on the SAT form a normal distribution with = 500 and o = 100.
a) What is the minimum score necessary to be in the top 15.87% of the SAT distribution?
b) Find the z-scores that defines the middle 80% of the distribution of SAT scores by converting the
following raw scores: 372 and 628.

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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