7th Edition

ISBN: 9781111792374

Author: WEIERS

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 3.3, Problem 3.22E

For a sample of eight apartment buildings in Chicago, the percentage-occupancy rates during a recent month were as shown below:

50.0% 79.1 61.3 43.9

68.1 70.0 72.5 66.3

For these sample data, determine:

a. The mean, median, range, and midrange.

b. The mean absolute deviation.

c. The standard deviation and variance.

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 3 Solutions

Introduction to Business Statistics

Ch. 3.2 - Determine the mean and the median wage rate for...Ch. 3.2 - Prob. 3.2E Ch. 3.2 - Erika operates a website devoted to providing...Ch. 3.2 - A social scientist for a children’s advocacy...Ch. 3.2 - Prob. 3.5E Ch. 3.2 - The following is a list of closing prices for 15...Ch. 3.2 - Prob. 3.7E Ch. 3.2 - According to a utility company, utility plant...Ch. 3.2 - Prob. 3.9E Ch. 3.2 - An observer stands at an overpass and, for each...

Ch. 3.2 - Prob. 3.11E Ch. 3.2 - Prob. 3.12E Ch. 3.2 - Prob. 3.13E Ch. 3.2 - Prob. 3.14E Ch. 3.2 - Prob. 3.15E Ch. 3.3 - Prob. 3.16E Ch. 3.3 - Prob. 3.17E Ch. 3.3 - Prob. 3.18E Ch. 3.3 - Prob. 3.19E Ch. 3.3 - For a sample of 11 employers, the most recent...Ch. 3.3 - According to the U.S. Invironrnental Protection...Ch. 3.3 - For a sample of eight apartment buildings in...Ch. 3.3 - Prob. 3.23E Ch. 3.3 - Prob. 3.24E Ch. 3.3 - Prob. 3.25E Ch. 3.3 - Prob. 3.26E Ch. 3.3 - Data file XR02028 shows the depths (in meters)...Ch. 3.4 - Prob. 3.28E Ch. 3.4 - According to Chebyshev’s theorem, what percentage...Ch. 3.4 - Prob. 3.30E Ch. 3.4 - Prob. 3.31E Ch. 3.4 - The manufacturer of an extended-life lighthulh...Ch. 3.4 - For college-bound high school seniors from a...Ch. 3.4 - For data set A, the mean is $1235, with a standard...Ch. 3.4 - Prob. 3.35E Ch. 3.4 - Prob. 3.36E Ch. 3.4 - Prob. 3.37E Ch. 3.4 - Prob. 3.38E Ch. 3.5 - Prob. 3.39E Ch. 3.5 - Prob. 3.40E Ch. 3.5 - Prob. 3.41E Ch. 3.6 - Prob. 3.42E Ch. 3.6 - For a set of data, r2 is 0.64 and the variables x...Ch. 3.6 - Prob. 3.44E Ch. 3.6 - Prob. 3.45E Ch. 3.6 - Prob. 3.46E Ch. 3.6 - Prob. 3.47E Ch. 3 - The first seven ustomers of the day at a small...Ch. 3 - A dental supplies distributor ships a customer 50...Ch. 3 - The 2007 top-grossing feature film was Spiderman...Ch. 3 - Prob. 3.51CE Ch. 3 - Prob. 3.52CE Ch. 3 - Prob. 3.53CE Ch. 3 - Prob. 3.54CE Ch. 3 - Prob. 3.55CE Ch. 3 - Prob. 3.56CE Ch. 3 - A quality control supervisor has taken a sample of...Ch. 3 - Prob. 3.58CE Ch. 3 - Prob. 3.59CE Ch. 3 - A law enforcement agency, administering...Ch. 3 - Prob. 3.61CE Ch. 3 - Prob. 3.62CE Ch. 3 - Prob. 3.63CE Ch. 3 - Prob. 3.64CE Ch. 3 - According to the Energy Information...Ch. 3 - Bride’s magazine reports the cost of the average...Ch. 3 - Prob. 3.67CE Ch. 3 - Prob. 3.68CE Ch. 3 - Prob. 3.69CE

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Solution Summary: The author explains the formula used to calculate the mean, median, range, and midrange.

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Chapter 3 Solutions

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