The percentage of the measurements contained in the interval x ¯ − s and x ¯ + s .

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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 2.5, Problem 2.72LM

a.

To determine

The percentage of the measurements contained in the interval x¯−s and x¯+s .

b.

To determine

The percentage of the measurements contained in the interval x¯−2s and x¯+2s .

c.

To determine

The percentage of the measurements contained in the interval of x¯−3s and x¯+3s .

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For numbers 13 to 15. Find the measures of position of the grouped data in Column A and B. Then compare using the statements below. COLUMNA COLUMN B Scores of Grade 10-Firetree Class in their Third Periodical Test Scores of Grade 10-Dao Class in their Third Periodical Test cumulative Lower scores frequency cumulative (1) Lower boundary (LB) scores frequency (ef) frequency (1) frequency boundary (Cf) (LB) 46-50 11 55 45.5 46-50 10 60 45.5 41-45 13 41-45 10 44 40.5 50 40.5 36-40 36-40 12 9 40 35.5 31 35.5 31-35 9 28 30.5 31-35 5 22 30.5 26-30 8 19 25.5 26-30 5 17 25.5 21-25 4 11 20.5 21-25 8 12 20.5 16-20 7 7 15.5 16-20 4 4 15.5 60 55 13. Which of the following statements is TRUE about the value of the Q3? A. Column A is higher than Column B B. Column A is lower than Column B C. Column A and Column B are equal D. None of the above 14. Which of the following statements is TRUE about the value of the D8? A. Column A is higher than Column B B. Column A is lower than Column B C. Column A and…

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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 2.5, Problem 2.72LM

a.

To determine

The percentage of the measurements contained in the interval x¯−s and x¯+s .

b.

To determine

The percentage of the measurements contained in the interval x¯−2s and x¯+2s .

c.

To determine

The percentage of the measurements contained in the interval of x¯−3s and x¯+3s .

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 2.5, Problem 2.72LM

a.

To determine

The percentage of the measurements contained in the interval x¯−s and x¯+s .

b.

To determine

The percentage of the measurements contained in the interval x¯−2s and x¯+2s .

c.

To determine

The percentage of the measurements contained in the interval of x¯−3s and x¯+3s .

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 2.5, Problem 2.72LM

a.

To determine