Find the number of points scored by Gregor.

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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 5, Problem 1E

To determine

Find the number of points scored by Gregor.

Expert Solution & Answer

Answer to Problem 1E

The number of points scored by Gregor is 65.

Explanation of Solution

Given info:

In a Stats exam, the mean score is 75 points and the standard deviation of score is 5 points. The z-score of Gregor is –2.

Justification:

The z-score of a variable X taking value x is,

z=x−μσ.

Where μis the mean and σis the standard deviation of the variable X.

From the above equation, the number of points scored by Gregor can be obtained as follows:

Substitute z=−2, σ=5and μ=75 in the formula of z-score.

−2=x−755x=−25+75=65

Thus, the number of points scored by Gregor is 65.

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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 5, Problem 1E

To determine

Find the number of points scored by Gregor.

Expert Solution & Answer

Answer to Problem 1E

The number of points scored by Gregor is 65.

Explanation of Solution

Given info:

In a Stats exam, the mean score is 75 points and the standard deviation of score is 5 points. The z-score of Gregor is –2.

Justification:

The z-score of a variable X taking value x is,

z=x−μσ.

Where μis the mean and σis the standard deviation of the variable X.

From the above equation, the number of points scored by Gregor can be obtained as follows:

Substitute z=−2, σ=5and μ=75 in the formula of z-score.

−2=x−755x=−25+75=65

Thus, the number of points scored by Gregor is 65.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

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 5, Problem 1E

To determine

Find the number of points scored by Gregor.

Expert Solution & Answer

Answer to Problem 1E

The number of points scored by Gregor is 65.

Explanation of Solution

Given info:

In a Stats exam, the mean score is 75 points and the standard deviation of score is 5 points. The z-score of Gregor is –2.

Justification:

The z-score of a variable X taking value x is,

z=x−μσ.

Where μis the mean and σis the standard deviation of the variable X.

From the above equation, the number of points scored by Gregor can be obtained as follows:

Substitute z=−2, σ=5and μ=75 in the formula of z-score.

−2=x−755x=−25+75=65

Thus, the number of points scored by Gregor is 65.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

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 5, Problem 1E

To determine

Find the number of points scored by Gregor.

Expert Solution & Answer

Answer to Problem 1E

The number of points scored by Gregor is 65.

Explanation of Solution

Given info:

In a Stats exam, the mean score is 75 points and the standard deviation of score is 5 points. The z-score of Gregor is –2.

Justification:

The z-score of a variable X taking value x is,

z=x−μσ.

Where μis the mean and σis the standard deviation of the variable X.

From the above equation, the number of points scored by Gregor can be obtained as follows:

Substitute z=−2, σ=5and μ=75 in the formula of z-score.

−2=x−755x=−25+75=65

Thus, the number of points scored by Gregor is 65.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Chapter 5, Problem 1E

To determine

Find the number of points scored by Gregor.

Expert Solution & Answer

Answer to Problem 1E

The number of points scored by Gregor is 65.

Explanation of Solution

Given info:

In a Stats exam, the mean score is 75 points and the standard deviation of score is 5 points. The z-score of Gregor is –2.

Justification:

The z-score of a variable X taking value x is,

z=x−μσ.

Where μis the mean and σis the standard deviation of the variable X.

From the above equation, the number of points scored by Gregor can be obtained as follows:

Substitute z=−2, σ=5and μ=75 in the formula of z-score.

−2=x−755x=−25+75=65

Thus, the number of points scored by Gregor is 65.

Answer 6

Chapter 5, Problem 1E

To determine

Find the number of points scored by Gregor.

Expert Solution & Answer

Answer to Problem 1E

The number of points scored by Gregor is 65.

Explanation of Solution

Given info:

In a Stats exam, the mean score is 75 points and the standard deviation of score is 5 points. The z-score of Gregor is –2.

Justification:

The z-score of a variable X taking value x is,

z=x−μσ.

Where μis the mean and σis the standard deviation of the variable X.

From the above equation, the number of points scored by Gregor can be obtained as follows:

Substitute z=−2, σ=5and μ=75 in the formula of z-score.

−2=x−755x=−25+75=65

Thus, the number of points scored by Gregor is 65.

Answer 7

Chapter 5, Problem 1E

To determine

Find the number of points scored by Gregor.

Answer 8

Expert Solution & Answer

Answer to Problem 1E

The number of points scored by Gregor is 65.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

Explanation of Solution

Given info:

In a Stats exam, the mean score is 75 points and the standard deviation of score is 5 points. The z-score of Gregor is –2.

Justification:

The z-score of a variable X taking value x is,

z=x−μσ.

Where μis the mean and σis the standard deviation of the variable X.

From the above equation, the number of points scored by Gregor can be obtained as follows:

Substitute z=−2, σ=5and μ=75 in the formula of z-score.

−2=x−755x=−25+75=65

Thus, the number of points scored by Gregor is 65.

Answer 12

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Find the number of points scored by Gregor.

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Find the number of points scored by Gregor.

Answer to Problem 1E

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