Answered: Transforming all the values in a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Transforming all the values in a distribution to Z scores gives the distribution a mean of ______ and a standard deviation of ____________ .

In a very large class, exam scores are normally distributed with a mean of 70 and a standard deviation of 3, what is the exam score of someone who scored 1 standard deviation above the mean on the exam?

In a very large class, exam scores are normally distributed with a mean of 70 and a standard deviation of 3, what proportion of the people in the class scored more than 1 standard deviation above the mean?

(Give your answer to at least 3 places past the decimal point)

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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