Answered: A standardized test is approximately…

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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Using Symmetry and the Empirical Rule

A standardized test is approximately normally distributed with a mean score of 7272 and a standard deviation of 55. Use the symmetry of the normal curve and apply the Empirical rule to answer the questions. Make a sketch of the curve to help you determine the areas.

Note: You must use the Empirical Rule values 68%68%, 95%95%, and 99.7%99.7% in your computations. The computer calculator will not give you the correct answer.

What percent of students scored greater than 7272?____ %

What percent of students scored between 7272 and 7777?_______ %

What percent of students scored between 6767 and 7777? ______%

What percent of students scored between 5757 and 6262? _____%

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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