Construct a table which calculates the mean for each combination of type, risk, and rating for one-year return percentage.

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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 3, Problem 26PS

a.

To determine

Construct a table which calculates the mean for each combination of type, risk, and rating for one-year return percentage.

b.

To determine

Construct a table which calculates the standard deviation for each combination of type, risk, and rating for one-year return percentage.

c.

To determine

Conclude the above results based on the differences between the two types of retirement funds on the basis of risk and rating level.

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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 3, Problem 26PS

a.

To determine

Construct a table which calculates the mean for each combination of type, risk, and rating for one-year return percentage.

b.

To determine

Construct a table which calculates the standard deviation for each combination of type, risk, and rating for one-year return percentage.

c.

To determine

Conclude the above results based on the differences between the two types of retirement funds on the basis of risk and rating level.

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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 3, Problem 26PS

a.

To determine

Construct a table which calculates the mean for each combination of type, risk, and rating for one-year return percentage.

b.

To determine

Construct a table which calculates the standard deviation for each combination of type, risk, and rating for one-year return percentage.

c.

To determine

Conclude the above results based on the differences between the two types of retirement funds on the basis of risk and rating level.

Expert Solution & Answer

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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 3, Problem 26PS

a.

To determine

Construct a table which calculates the mean for each combination of type, risk, and rating for one-year return percentage.

b.

To determine

Construct a table which calculates the standard deviation for each combination of type, risk, and rating for one-year return percentage.

c.

To determine

Conclude the above results based on the differences between the two types of retirement funds on the basis of risk and rating level.

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Answer 5

Chapter 3, Problem 26PS

a.

To determine

Construct a table which calculates the mean for each combination of type, risk, and rating for one-year return percentage.

b.

To determine

Construct a table which calculates the standard deviation for each combination of type, risk, and rating for one-year return percentage.

c.

To determine

Conclude the above results based on the differences between the two types of retirement funds on the basis of risk and rating level.

Answer 6

Chapter 3, Problem 26PS

a.

To determine

Construct a table which calculates the mean for each combination of type, risk, and rating for one-year return percentage.

Answer 7

Chapter 3, Problem 26PS

a.

To determine

Construct a table which calculates the mean for each combination of type, risk, and rating for one-year return percentage.

Answer 8

b.

To determine

Construct a table which calculates the standard deviation for each combination of type, risk, and rating for one-year return percentage.

Answer 9

b.

To determine

Construct a table which calculates the standard deviation for each combination of type, risk, and rating for one-year return percentage.

Answer 10

c.

To determine

Conclude the above results based on the differences between the two types of retirement funds on the basis of risk and rating level.

Answer 11

c.

To determine

Conclude the above results based on the differences between the two types of retirement funds on the basis of risk and rating level.

Answer 12

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Answer 13

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Answer 14

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Answer 15

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Construct a table which calculates the mean for each combination of type, risk, and rating for one-year return percentage.

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Construct a table which calculates the mean for each combination of type, risk, and rating for one-year return percentage.

Construct a table which calculates the standard deviation for each combination of type, risk, and rating for one-year return percentage.

Conclude the above results based on the differences between the two types of retirement funds on the basis of risk and rating level.

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