Statistical Reasoning for Everyday Life (5th Edition)

5th Edition

ISBN: 9780134494043

Author: Jeff Bennett, William L. Briggs, Mario F. Triola

Publisher: PEARSON

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Textbook Question

Chapter 4.1, Problem 33E

Weighted Mean. In Exercises 32–35, find the mean of the data summarized in the frequency table by using the middle of each bin and the frequency for each bin. Also, compare the computed means to these the actual means obtained using the original list of data values: (Exercise 32) 36.2 years; (Exercise 33) 44.1 years; (Exercise 34) 224.3 (1000 cells/μL); (Exercise 35) 255.1 (1000 cells/μL).

33.

Chapter 4.1, Problem 33E, Weighted Mean. In Exercises 3235, find the mean of the data summarized in the frequency table by

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 4.1, Problem 32E

Chapter 4.1, Problem 34E

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Chapter 4 Solutions

Statistical Reasoning for Everyday Life (5th Edition)

Ch. 4.1 - Average. Define and distinguish among mean,...Ch. 4.1 - Outliers. What are outliers? Describe the effects...Ch. 4.1 - Average Confusion. Briefly describe at least two...Ch. 4.1 - Weighting. What is a weighted mean, and when is it...Ch. 4.1 - Does It Make Sense? For Exercises 59, determine...Ch. 4.1 - Does It Make Sense? For Exercises 59, determine...Ch. 4.1 - Mode. In an analysis of salaries paid to sales...Ch. 4.1 - Employment Data. A survey asked people their...Ch. 4.1 - Mean Wage. To find the mean wage of restaurant...Ch. 4.1 - Mean, Median, and Mode. In Exercises 1016, find...

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Solution Summary: The author compares the mean of the data with the actual mean obtained using the original list of data values.

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