The mean and variance when scores are added by 15.

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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 6.2, Problem 37BB

a)

To determine

To find: The mean and variance when scores are added by 15.

b)

To determine

To explain: Whether adding 15 to each score is justifiable or not.

c)

To determine

To find: The below 70% and bottom 10% limits of scores .

d)

To determine

To explain: The appropriateness of the method for curving the test scores .

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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 6.2, Problem 37BB

a)

To determine

To find: The mean and variance when scores are added by 15.

b)

To determine

To explain: Whether adding 15 to each score is justifiable or not.

c)

To determine

To find: The below 70% and bottom 10% limits of scores .

d)

To determine

To explain: The appropriateness of the method for curving the test scores .

Expert Solution & Answer

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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 6.2, Problem 37BB

a)

To determine

To find: The mean and variance when scores are added by 15.

b)

To determine

To explain: Whether adding 15 to each score is justifiable or not.

c)

To determine

To find: The below 70% and bottom 10% limits of scores .

d)

To determine

To explain: The appropriateness of the method for curving the test scores .

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 6.2, Problem 37BB

a)

To determine

To find: The mean and variance when scores are added by 15.

b)

To determine

To explain: Whether adding 15 to each score is justifiable or not.

c)

To determine

To find: The below 70% and bottom 10% limits of scores .

d)

To determine

To explain: The appropriateness of the method for curving the test scores .

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Answer 5

Chapter 6.2, Problem 37BB

a)

To determine

To find: The mean and variance when scores are added by 15.

b)

To determine

To explain: Whether adding 15 to each score is justifiable or not.

c)

To determine

To find: The below 70% and bottom 10% limits of scores .

d)

To determine

To explain: The appropriateness of the method for curving the test scores .

Answer 6

Chapter 6.2, Problem 37BB

a)

To determine

To find: The mean and variance when scores are added by 15.

Answer 7

Chapter 6.2, Problem 37BB

a)

To determine

To find: The mean and variance when scores are added by 15.

Answer 8

b)

To determine

To explain: Whether adding 15 to each score is justifiable or not.

Answer 9

b)

To determine

To explain: Whether adding 15 to each score is justifiable or not.

Answer 10

c)

To determine

To find: The below 70% and bottom 10% limits of scores .

Answer 11

c)

To determine

To find: The below 70% and bottom 10% limits of scores .

Answer 12

d)

To determine

To explain: The appropriateness of the method for curving the test scores .

Answer 13

d)

To determine

To explain: The appropriateness of the method for curving the test scores .

Answer 14

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Answer 15

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Answer 16

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Answer 17

Ch. 6.1 - 1. Normal Distribution What’s wrong with the...Ch. 6.1 - Prob. 2BSC Ch. 6.1 - Prob. 3BSC Ch. 6.1 - Prob. 4BSC Ch. 6.1 - Continuous Uniform Distribution. In Exercises 5–8,...Ch. 6.1 - Continuous Uniform Distribution. In Exercises 5–8,...Ch. 6.1 - Prob. 7BSC Ch. 6.1 - Prob. 8BSC Ch. 6.1 - Standard Normal Distribution. In Exercises 9–12,...Ch. 6.1 - Standard Normal Distribution. In Exercises 9–12,...

The mean and variance when scores are added by 15.

Solution Summary: The author explains that adding 15 to each score is only affecting mean and not standard deviation.

To find: The mean and variance when scores are added by 15.

To explain: Whether adding 15 to each score is justifiable or not.

To find: The below 70% and bottom 10% limits of scores .

To explain: The appropriateness of the method for curving the test scores .

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