MyLab Statistics with Pearson eText -- Standalone Access Card -- for Essentials of Statistics

6th Edition

ISBN: 9780134870113

Author: Mario F. Triola

Publisher: PEARSON

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Textbook Question

Chapter 10, Problem 7CRE

Ages of Moviegoers The table below shows the distribution of the ages of moviegoers (based on data from the Motion Picture Association of America). Use the data to estimate the mean, standard deviation, and variance of ages of moviegoers. Hint: For the open-ended category of “60 and older,” assume that the category is actually 60–80.

Chapter 10, Problem 7CRE, Ages of Moviegoers The table below shows the distribution of the ages of moviegoers (based on data

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 10, Problem 6CRE

Chapter 10, Problem 8CRE

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Chapter 10 Solutions

MyLab Statistics with Pearson eText -- Standalone Access Card -- for Essentials of Statistics

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Solution Summary: The author calculates the mean, standard deviation, and variance of ages of moviegoers.

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