Explanation Given: Test scores are distributed normally and the mean and standard deviation of the distribution are 100 and 20 respectively. Formula used: Data of n standard deviation above the mean is: Mean + n × Standard deviation Calculation: According to the normal distribution , all the data values are either above or below the mean, which is the middlemost value of the distribution. How much far or near a data value is from the mean value, is determined by the standard deviation. It shows how much variation is there from the middlemost value (mean)

19th Edition

ISBN: 9780135323038

Author: Blitzer

Publisher: Pearson Custom Publishing

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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.

Chapter 12.4, Problem 5E

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To calculate: The score that has the value which is 212 standard deviations more than the middlemost value (mean).

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Chapter 12.4, Problem 4E

Chapter 12.4, Problem 6E

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The score that has the value which is 2 1 2 standard deviations more than the middlemost value (mean).

Solution Summary: The author explains that test scores are distributed normally and the mean and standard deviation of the distribution are 100 and 20 respectively.

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To calculate: The score that has the value which is 212 standard deviations more than the middlemost value (mean).

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Chapter 12 Solutions