Answered: The performance on a nationally…

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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The performance on a nationally standardized aptitude test in a certain professional field is reported in the form of transformed values having a mean of 500 with a standard deviation of 100. The scores are normally distributed.
a) What percentage of the results are between 350 and 650?
b) Out of 1000 test results, how many would we expect to have a score of 700 and higher?
c) Suppose that the top 10% of the scores are regarded as being distinctly superior, what is the lowest score required to be included in the category?

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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