Answered: 500 freshmen at Arundel University took…

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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500 freshmen at Arundel University took part in a math comprehension test. The scores were normally distributed, with a mean of 75 and a standard deviation of 7. What percentage of scores were... A. Between 61 and 82 B. Less than 75 C. Between 54 and 68

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.

Expert Solution

Step 1

Given: $μ = 75 a n d σ = 7$ .

The z-score is calculated as
$z = \frac{x - μ}{σ}$

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