Answered: a. A student whose grade is 83 would be…

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

If the class grades are normally distributed with an average of 85 and a standard deviation of 6, which of the following statements is true?

a. A student whose grade is 83 would be at the 19th percentile.

b. A student whose grade is 90 would be one standard deviation above the mean.

c. 98% of the students would have grades between 73 and 97.

d. 87% of the students would have grades between 76 and 94.

e. A student whose grade is 94 would be at the 43rd percentile.

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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