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Math Excursions In Modern Mathematics, 9th Edition

Consider a normal distribution with first quartile Q 1 = 432.5 points and third quartile Q 3 = 567.5 points. a. Find the mean μ of the distribution. b. Find the standard deviation σ of the distribution rounded to the nearest point.

Consider a normal distribution with first quartile Q 1 = 432.5 points and third quartile Q 3 = 567.5 points. a. Find the mean μ of the distribution. b. Find the standard deviation σ of the distribution rounded to the nearest point.

Solution Summary: The author calculates the mean mu of the given distribution, which is 500 points.

Excursions In Modern Mathematics, 9th Edition

Excursions In Modern Mathematics, 9th Edition

9th Edition

ISBN: 9780134494142

Author: Tannenbaum

Publisher: PEARSON

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Textbook Question

Chapter 17, Problem 7E

Consider a normal distribution with first quartile Q 1 = 432.5 points and third quartile Q 3 = 567.5 points.

a. Find the mean μ of the distribution.

b. Find the standard deviation σ of the distribution rounded to the nearest point.

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 6E

Chapter 17, Problem 8E

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Chapter 17 Solutions

Excursions In Modern Mathematics, 9th Edition

Ch. 17 - Consider the normal distribution represented by...Ch. 17 - Consider the normal distribution represented by...Ch. 17 - Consider the normal distribution represented by...Ch. 17 - Consider the normal distribution represented by...Ch. 17 - Consider a normal distribution with mean =81.2lb...Ch. 17 - Consider a normal distribution with mean =2354...Ch. 17 - Consider a normal distribution with first quartile...Ch. 17 - Consider a normal distribution with first quartile...Ch. 17 - Estimate the value of the standard deviation ...Ch. 17 - Estimate the value of the standard deviation ...

Ch. 17 - Explain why a distribution with median M=82, mean...Ch. 17 - Explain why a distribution with median M=453, mean...Ch. 17 - Explain why a distribution with =195, Q1=180 and...Ch. 17 - Explain why a distribution with M==47, Q1=35 and...Ch. 17 - A normal distribution has mean =30kg and standard...Ch. 17 - Prob. 16E Ch. 17 - Prob. 17E Ch. 17 - Prob. 18E Ch. 17 - Prob. 19E Ch. 17 - In a normal distribution with mean =83.2 and...Ch. 17 - Prob. 21E Ch. 17 - Prob. 22E Ch. 17 - Prob. 23E Ch. 17 - Prob. 24E Ch. 17 - Prob. 25E Ch. 17 - In a normal distribution with standard deviation...Ch. 17 - Prob. 27E Ch. 17 - Prob. 28E Ch. 17 - Consider the normal distribution represented by...Ch. 17 - Consider the normal distribution represented by...Ch. 17 - Consider the normal distribution defined by Fig....Ch. 17 - Consider the normal distribution defined by Fig....Ch. 17 - A normal distribution has mean =71.5in., and the...Ch. 17 - A normal distribution has standard deviation =12.3...Ch. 17 - Prob. 35E Ch. 17 - Prob. 36E Ch. 17 - Prob. 37E Ch. 17 - A normal distribution has mean =500 and standard...Ch. 17 - In a normal distribution, what percent of the data...Ch. 17 - In a normal distribution, what percent of the data...Ch. 17 - Exercises 41 through 44 refer to the following:...Ch. 17 - Exercises 41 through 44 refer to the following:...Ch. 17 - Exercises 41 through 44 refer to the following:...Ch. 17 - Exercises 41 through 44 refer to the following:...Ch. 17 - Exercises 45 through 48 refer to the following: As...Ch. 17 - Exercises 45 through 48 refer to the following: As...Ch. 17 - Exercises 45 through 48 refer to the following: As...Ch. 17 - Exercises 45 through 48 refer to the following: As...Ch. 17 - Exercises 49 through 52 refer to the following:...Ch. 17 - Exercises 49 through 52 refer to the following:...Ch. 17 - Exercises 49 through 52 refer to the following:...Ch. 17 - Exercises 49 through 52 refer to the following:...Ch. 17 - Exercises 53 through 56 refer to the distribution...Ch. 17 - Exercises 53 through 56 refer to the distribution...Ch. 17 - Exercises 53 through 56 refer to the distribution...Ch. 17 - Exercises 53 through 56 refer to the distribution...Ch. 17 - An honest coin is tossed n=3600 times. Let the...Ch. 17 - Prob. 58E Ch. 17 - Suppose that a random sample of n=7056 adults is...Ch. 17 - An honest die is rolled. If the roll comes out...Ch. 17 - A dishonest coin with probability of heads p=0.4...Ch. 17 - A dishonest coin with probability of heads p=0.75...Ch. 17 - Prob. 63E Ch. 17 - Suppose that 1 out of every 10 plasma televisions...Ch. 17 - Prob. 65E Ch. 17 - Prob. 66E Ch. 17 - Percentiles. The pth percentile of a sorted data...Ch. 17 - Prob. 68E Ch. 17 - Prob. 69E Ch. 17 - Percentiles. The pth percentile of a sorted data...Ch. 17 - Prob. 71E Ch. 17 - Percentiles. The pth percentile of a sorted data...Ch. 17 - Prob. 73E Ch. 17 - Prob. 74E Ch. 17 - Prob. 75E Ch. 17 - Prob. 76E Ch. 17 - A dishonest coin with probability of heads p=0.1...Ch. 17 - Prob. 78E Ch. 17 - In American roulette there are 18 red numbers, 18...Ch. 17 - After polling a random sample of 800 voters during...

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