3rd Edition

ISBN: 9780135231678

Author: Evans, James R. (james Robert)

Publisher: PEARSON EDUCATION (COLLEGE)

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Chapter 4, Problem 6.2CYU

Use Excel to find the mean and variance for the grouped frequency distribution in Figure 4.12.

Figure 4.12 Frequency Distribution and Histogram for Cost per Order (Ten Groups)

Chapter 4, Problem 6.2CYU, Use Excel to find the mean and variance for the grouped frequency distribution in Figure 4.12.

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 + ...

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Chapter 4, Problem 6.1CYU

Chapter 4, Problem 7.1CYU

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Use Excel to find the mean and variance for the grouped frequency distribution in Figure 4.12. Figure 4.12 Frequency Distribution and Histogram for Cost per Order (Ten Groups)

Solution Summary: The author calculates the variance for the grouped frequency distribution by using Excel.

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