8th Edition

ISBN: 9781305268920

Author: Bernard Rosner

Publisher: Cengage Learning

Concept explainers

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of tw…

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency o…

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow compar…

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Textbook Question

Chapter 2.6, Problem A.2RE

How does the geometric mean differ from the arithmetic mean? For what type of data is the geometric mean used?

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 2.6, Problem A.1RE

Chapter 2.6, Problem A.3RE

Chapter 2 Solutions

Fundamentals of Biostatistics

Ch. 2.6 - When is it appropriate to use the arithmetic mean...Ch. 2.6 - How does the geometric mean differ from the...Ch. 2.6 - What is the difference between the standard...Ch. 2.8 - What is a stem-and-leaf plot? How does it differ...Ch. 2.8 - Prob. B.2RE Ch. 2.8 - Consider the stem-and-leaf plot in Figure 2.6. Is...Ch. 2.8 - What is a box plot? What additional information...Ch. 2 - The data in Table 2.13 are a sample from a larger...Ch. 2 - The data in Table 2.13 are a sample from a larger...Ch. 2 - It is of clinical interest to know if the duration...

Ch. 2 - Suppose the scale for a data set is changed by...Ch. 2 - Suppose the scale for a data set is changed by...Ch. 2 - Suppose the scale for a data set is changed by...Ch. 2 - Suppose the scale for a data set is changed by...Ch. 2 - A man runs 1 mile approximately once per weekend....Ch. 2 - A man runs 1 mile approximately once per weekend....Ch. 2 - A man runs 1 mile approximately once per weekend....Ch. 2 - A man runs 1 mile approximately once per weekend....Ch. 2 - A man runs 1 mile approximately once per weekend....Ch. 2 - The data in Table 2.15 are a sample of cholesterol...Ch. 2 - The data in Table 2.15 are a sample of cholesterol...Ch. 2 - The data in Table 2.15 are a sample of cholesterol...Ch. 2 - The data in Table 2.15 are a sample of cholesterol...Ch. 2 - The data in Table 2.15 are a sample of cholesterol...Ch. 2 - In an experiment that examined the effect of body...Ch. 2 - In an experiment that examined the effect of body...Ch. 2 - Table 2.17 Format for FEV.DAT The data in Table...Ch. 2 - Forced expiratory volume (FEV) is an index of...Ch. 2 - Forced expiratory volume (FEV) is an index of...Ch. 2 - Prob. 26P Ch. 2 - The food-frequency questionnaire (FFQ) is an...Ch. 2 - In Section 2.9, we described Data Set LEAD.DAT (at...Ch. 2 - In Section 2.9, we described Data Set LEAD.DAT (at...Ch. 2 - Activated-protein-C (APC) resistance is a serum...Ch. 2 - Activated-protein-C (APC) resistance is a serum...Ch. 2 - A study was conducted to demonstrate that soy...Ch. 2 - A study was conducted to demonstrate that soy...Ch. 2 - A study was conducted to demonstrate that soy...Ch. 2 - Prob. 38P Ch. 2 - In Section 2.10, we described Data Set BONEDEN.DAT...Ch. 2 - What impression do you have of the relationship...Ch. 2 - In Section 2.10, we described Data Set BONEDEN.DAT...Ch. 2 - In Section 2.10, we described Data Set BONEDEN.DAT...Ch. 2 - Prob. 43P Ch. 2 - Prob. 44P Ch. 2 - Prob. 45P Ch. 2 - Answer Problems 2.382.40 for BMD for the femoral...Ch. 2 - The Left Ventricular Mass lndex (LVMI) is a...Ch. 2 - Prob. 48P Ch. 2 - Prob. 49P Ch. 2 - The Left Ventricular Mass lndex (LVMI) is a...

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How does the geometric mean differ from the arithmetic mean? For what type of data is the geometric mean used?

Solution Summary: The author explains how the geometric mean is different from the arithmetic mean. The sum of all the observations in the dataset divided by the number of observations is termed as the measure of location.

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Chapter 2 Solutions