Essentials of Statistics Books a la carte Plus NEW MyLab Statistics with Pearson eText - Access Card Package (5th Edition)

5th Edition

ISBN: 9780133892697

Author: Mario F. Triola

Publisher: PEARSON

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Textbook Question

Chapter 5, Problem 1CRE

Please be aware that some of the following problems may require knowledge of concepts presented in previous chapters.

1. Weekly Instruction Time The Organization for Economic Cooperation and Development provided the following mean weekly instruction times (hours) for elementary and high school students in various countries: 22.2 (United States); 24.8 (France); 24.2 (Mexico); 26.9 (China); 23.8 (Japan). Use the five given times for the following.

a. Find the mean.
b. Find the median.
c. Find the range.
d. Find the standard deviation.
e. Find the variance.
f. Use the range rule of thumb to identity the range of usual values.
g. Based on the result from part (f), are any of the times unusual? Why or why not?
h. Whir U the level of measurement of the data: nominal, ordinal, interval, or ratio?
i. Are the data discrete or continuum?
j. There ii something fundamentally wrong with using the given times to find statistics such as the mean. What is wrong?

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 5, Problem 10RE

Chapter 5, Problem 2CRE

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Chapter 5 Solutions

Essentials of Statistics Books a la carte Plus NEW MyLab Statistics with Pearson eText - Access Card Package (5th Edition)

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Solution Summary: The author calculates the mean weekly instruction time for elementary and high school students. The median is the middle value, and the range is 4.7 hours.

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