Excursions In Modern Mathematics, 9th Edition

9th Edition

ISBN: 9780134494142

Author: Tannenbaum

Publisher: PEARSON

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Normal Distribution

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Textbook Question

Chapter 17, Problem 2E

Consider the normal distribution represented by the normal curve in Fig. 17-13. Assume that P is a point of inflection of the curve.

Chapter 17, Problem 2E, Consider the normal distribution represented by the normal curve in Fig. 17-13. Assume that P is a

Figure 17-13

a. Find the mean μ of the distribution.

b. Find the median M of the distribution.

c. Find the standard deviation σ of the distribution.

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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Chapter 17, Problem 1E

Chapter 17, Problem 3E

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Chapter 17 Solutions

Excursions In Modern Mathematics, 9th Edition

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Consider the normal distribution represented by the normal curve in Fig. 17-13 . Assume that P is a point of inflection of the curve. Figure 17-13 a. Find the mean μ of the distribution. b. Find the median M of the distribution. c. Find the standard deviation σ of the distribution.

Solution Summary: The author explains how the normal distribution is represented in the following figure, where P is the point of inflection of the curve.

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Chapter 17 Solutions