Answered: A professor gives a test worth 100…

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

A professor gives a test worth 100 points. The mean is 96,and the standard deviation is 4. Is it possible to apply a normal distribution to this situation? Why or why not?

Choose the correct answer below.

A. Yes, because in this situation the distribution is symmetric about the mean.

B. No, because the standard deviation must be greater than 4.

C. Yes, because in this situation the distribution is skewed to the left.

D. No, because in this situation the distribution is skewed to the left.

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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