1st Edition

ISBN: 9781938168208

Author: Barbara Illowsky, Susan Dean

Publisher: OpenStax College

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Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative p…

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Textbook Question

Chapter 1, Problem 43H

For each of the following eight exercises, identify: a. the population, b. (he sample, c. the parameter, d. the statistic, e. the variable, and f. the data. Give examples where appropriate.

Ski resorts are interested in the mean age that children take their first ski and snowboard lessons. They need this information to plan their ski classes optimally.

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 1 Solutions

Introductory Statistics

Ch. 1 - Determine what the key terms refer to in the...Ch. 1 - The data are the number of machines in a gym. You...Ch. 1 - The data are the areas of Lawns in square feet....Ch. 1 - The data are the colors of houses. You sample five...Ch. 1 - Determine the correct data type (quantitative or...Ch. 1 - The registrar at State University keeps records of...Ch. 1 - You are going to use the random number generator...Ch. 1 - Determine the type of sampling used (simple...Ch. 1 - A local radio station has a fan base of 20,000...Ch. 1 - Table 1.13 shows the amount, in inches, of annual...

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