Explain another name for the standard deviation of the variable x ¯ . Explain the reason of another name for the standard deviation of the variable x ¯ .

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Answer 1

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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 7.2, Problem 31E

To determine

Explain another name for the standard deviation of the variable x¯.

Explain the reason of another name for the standard deviation of the variable x¯.

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Answer 2

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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 7.2, Problem 31E

To determine

Explain another name for the standard deviation of the variable x¯.

Explain the reason of another name for the standard deviation of the variable x¯.

Expert Solution & Answer

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Check out a sample textbook solution

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Answer 3

Question

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 7.2, Problem 31E

To determine

Explain another name for the standard deviation of the variable x¯.

Explain the reason of another name for the standard deviation of the variable x¯.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 4

Question

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 7.2, Problem 31E

To determine

Explain another name for the standard deviation of the variable x¯.

Explain the reason of another name for the standard deviation of the variable x¯.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Chapter 7.2, Problem 31E

To determine

Explain another name for the standard deviation of the variable x¯.

Explain the reason of another name for the standard deviation of the variable x¯.

Answer 6

Chapter 7.2, Problem 31E

To determine

Explain another name for the standard deviation of the variable x¯.

Explain the reason of another name for the standard deviation of the variable x¯.

Answer 7

Chapter 7.2, Problem 31E

To determine

Explain another name for the standard deviation of the variable x¯.

Explain the reason of another name for the standard deviation of the variable x¯.

Answer 8

Expert Solution & Answer

Answer 9

Expert Solution & Answer

Answer 10

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Answer 11

Ch. 7.1 - Why is sampling often preferable to conducting a...Ch. 7.1 - Why should you generally expect some error when...Ch. 7.1 - In Exercises 7.37.10, we have given population...Ch. 7.1 - In Exercises 7.37.10, we have given population...Ch. 7.1 - In Exercises 7.37.10, we have given population...Ch. 7.1 - Prob. 6E Ch. 7.1 - In Exercises 7.37.10, we have given population...Ch. 7.1 - Prob. 8E Ch. 7.1 - Prob. 9E Ch. 7.1 - In Exercises 7.37.10, we have given population...

Explain another name for the standard deviation of the variable x ¯ . Explain the reason of another name for the standard deviation of the variable x ¯ .

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Explain another name for the standard deviation of the variable x¯.

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Explain another name for the standard deviation of the variable x ¯ . Explain the reason of another name for the standard deviation of the variable x ¯ .

Solution Summary: The author explains another name for the standard deviation of the variable stackrel

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Explain another name for the standard deviation of the variable x¯. Explain the reason of another name for the standard deviation of the variable x¯.

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Chapter 7 Solutions

Explain another name for the standard deviation of the variable x¯.

Explain the reason of another name for the standard deviation of the variable x¯.