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Math Statistics Introduction to Business Statistics

To calculate the proportion of observations that falls within 2.5 standard deviation from the mean using the Chebyshev's theorem.

To calculate the proportion of observations that falls within 2.5 standard deviation from the mean using the Chebyshev's theorem.

Solution Summary: The author explains the Chebyshev's theorem to calculate the proportion of observations that falls within 2.5 standard deviations from the mean.

Introduction to Business Statistics

Introduction to Business Statistics

7th Edition

ISBN: 9781111792374

Author: WEIERS

Publisher: Cengage Learning

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A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

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Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Chapter 3.4, Problem 3.30E

To determine

To calculate the proportion of observations that falls within 2.5 standard deviation from the mean using the Chebyshev's theorem.

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Chapter 3.4, Problem 3.29E

Chapter 3.4, Problem 3.31E

Chapter 3 Solutions

Introduction to Business Statistics

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