Explain whether it is possible that the variability would be negative.

Question

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Answer 1

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 4, Problem 1FP

To determine

Explain whether it is possible that the variability would be negative.

Expert Solution & Answer

Answer to Problem 1FP

No, it is not possible that the variability would be negative.

Explanation of Solution

Justification: Variability measures how all the scores of the data set deviation from the value of mean. The value of variability is always greater than zero, it cannot be negative. A variability of negative value is meaningless as it cannot be said that all the scores are negatively deviated from the mean.

Hence, it is not possible that the variability would be negative.

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Answer 2

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 4, Problem 1FP

To determine

Explain whether it is possible that the variability would be negative.

Expert Solution & Answer

Answer to Problem 1FP

No, it is not possible that the variability would be negative.

Explanation of Solution

Justification: Variability measures how all the scores of the data set deviation from the value of mean. The value of variability is always greater than zero, it cannot be negative. A variability of negative value is meaningless as it cannot be said that all the scores are negatively deviated from the mean.

Hence, it is not possible that the variability would be negative.

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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 4, Problem 1FP

To determine

Explain whether it is possible that the variability would be negative.

Expert Solution & Answer

Answer to Problem 1FP

No, it is not possible that the variability would be negative.

Explanation of Solution

Justification: Variability measures how all the scores of the data set deviation from the value of mean. The value of variability is always greater than zero, it cannot be negative. A variability of negative value is meaningless as it cannot be said that all the scores are negatively deviated from the mean.

Hence, it is not possible that the variability would be negative.

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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 4, Problem 1FP

To determine

Explain whether it is possible that the variability would be negative.

Expert Solution & Answer

Answer to Problem 1FP

No, it is not possible that the variability would be negative.

Explanation of Solution

Justification: Variability measures how all the scores of the data set deviation from the value of mean. The value of variability is always greater than zero, it cannot be negative. A variability of negative value is meaningless as it cannot be said that all the scores are negatively deviated from the mean.

Hence, it is not possible that the variability would be negative.

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Answer 5

Chapter 4, Problem 1FP

To determine

Explain whether it is possible that the variability would be negative.

Expert Solution & Answer

Answer to Problem 1FP

No, it is not possible that the variability would be negative.

Explanation of Solution

Justification: Variability measures how all the scores of the data set deviation from the value of mean. The value of variability is always greater than zero, it cannot be negative. A variability of negative value is meaningless as it cannot be said that all the scores are negatively deviated from the mean.

Hence, it is not possible that the variability would be negative.

Answer 6

Chapter 4, Problem 1FP

To determine

Explain whether it is possible that the variability would be negative.

Expert Solution & Answer

Answer to Problem 1FP

No, it is not possible that the variability would be negative.

Explanation of Solution

Justification: Variability measures how all the scores of the data set deviation from the value of mean. The value of variability is always greater than zero, it cannot be negative. A variability of negative value is meaningless as it cannot be said that all the scores are negatively deviated from the mean.

Hence, it is not possible that the variability would be negative.

Answer 7

Chapter 4, Problem 1FP

To determine

Explain whether it is possible that the variability would be negative.

Answer 8

Expert Solution & Answer

Answer to Problem 1FP

No, it is not possible that the variability would be negative.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

Explanation of Solution

Justification: Variability measures how all the scores of the data set deviation from the value of mean. The value of variability is always greater than zero, it cannot be negative. A variability of negative value is meaningless as it cannot be said that all the scores are negatively deviated from the mean.

Hence, it is not possible that the variability would be negative.

Answer 12

Ch. 4.3 - Prob. 1.1LC Ch. 4.3 - Prob. 1.2LC Ch. 4.3 - Prob. 1.3LC Ch. 4.3 - Prob. 1.4LC Ch. 4.4 - Prob. 2.1LC Ch. 4.4 - Prob. 2.2LC Ch. 4.4 - Prob. 2.3LC Ch. 4.5 - Prob. 3.1LC Ch. 4.5 - Prob. 3.2LC Ch. 4.5 - Prob. 3.3LC

Explain whether it is possible that the variability would be negative.

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Explain whether it is possible that the variability would be negative.

Answer to Problem 1FP

Explanation of Solution

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