Understandable Statistics: Concepts and Methods

12th Edition

ISBN: 9781337119917

Author: Charles Henry Brase, Corrinne Pellillo Brase

Publisher: Cengage Learning

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Concept explainers

Inverse Normal Distribution

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Mean, Median, Mode

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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 3.2, Problem 1P

Statistical Literacy Which average—mean, median, or mode—is associated with the standard deviation?

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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Chapter 3.1, Problem 30P

Chapter 3.2, Problem 2P

Chapter 3 Solutions

Understandable Statistics: Concepts and Methods

Ch. 3.1 - Statistical Literacy Consider the mode, median,...Ch. 3.1 - Prob. 2P Ch. 3.1 - Prob. 3P Ch. 3.1 - Prob. 4P Ch. 3.1 - Prob. 5P Ch. 3.1 - Basic Computation: Mean, Median, Mode Find the...Ch. 3.1 - Prob. 7P Ch. 3.1 - Critical Thinking Consider a data set with at...Ch. 3.1 - Critical Thinking Consider a data set with at...Ch. 3.1 - Prob. 10P

Ch. 3.1 - Critical Thinking When a distribution is...Ch. 3.1 - Critical Thinking Consider the following types of...Ch. 3.1 - Critical Thinking Consider the numbers 2 3 4 5 5...Ch. 3.1 - Prob. 14P Ch. 3.1 - Prob. 15P Ch. 3.1 - Prob. 16P Ch. 3.1 - Prob. 17P Ch. 3.1 - Critical Thinking Consider a data set of 15...Ch. 3.1 - Prob. 19P Ch. 3.1 - Prob. 20P Ch. 3.1 - Prob. 21P Ch. 3.1 - Football: Age of Professional Players How old are...Ch. 3.1 - Prob. 23P Ch. 3.1 - Prob. 24P Ch. 3.1 - Prob. 25P Ch. 3.1 - Prob. 26P Ch. 3.1 - Prob. 27P Ch. 3.1 - Prob. 28P Ch. 3.1 - Expand Your Knowledge: Harmonic Mean When data...Ch. 3.1 - Prob. 30P Ch. 3.2 - Statistical Literacy Which averagemean, median, or...Ch. 3.2 - Statistical Literacy What is the relationship...Ch. 3.2 - Statistical Literacy When computing the standard...Ch. 3.2 - Prob. 4P Ch. 3.2 - Prob. 5P Ch. 3.2 - Basic Computation: Range, Standard Deviation...Ch. 3.2 - Critical Thinking For a given data set in which...Ch. 3.2 - Prob. 8P Ch. 3.2 - Prob. 9P Ch. 3.2 - Prob. 10P Ch. 3.2 - Prob. 11P Ch. 3.2 - Critical Thinking: Outliers One indicator of an...Ch. 3.2 - Prob. 13P Ch. 3.2 - Basic Computation: Coefficient of Variation,...Ch. 3.2 - Prob. 15P Ch. 3.2 - Prob. 16P Ch. 3.2 - Space Shuttle: Epoxy Kevlar epoxy is a material...Ch. 3.2 - Prob. 18P Ch. 3.2 - Prob. 19P Ch. 3.2 - Prob. 20P Ch. 3.2 - Prob. 21P Ch. 3.2 - Prob. 22P Ch. 3.2 - Prob. 23P Ch. 3.2 - Prob. 24P Ch. 3.2 - Prob. 25P Ch. 3.2 - Prob. 26P Ch. 3.2 - Brain Teaser: Sum of Squares If you like...Ch. 3.2 - Prob. 28P Ch. 3.2 - Prob. 29P Ch. 3.2 - Prob. 30P Ch. 3.3 - Statistical Literacy Angela took a general...Ch. 3.3 - Prob. 2P Ch. 3.3 - Prob. 3P Ch. 3.3 - Prob. 4P Ch. 3.3 - Prob. 5P Ch. 3.3 - Basic Computation: Five-Number Summary,...Ch. 3.3 - Health Care: Nurses At Center Hospital there is...Ch. 3.3 - Prob. 8P Ch. 3.3 - Prob. 9P Ch. 3.3 - Sociology: High School Dropouts What percentage of...Ch. 3.3 - Auto Insurance: Interpret Graphs Consumer Reports...Ch. 3.3 - Prob. 12P Ch. 3 - Prob. 1CRP Ch. 3 - Critical Thinking Look at the two histograms...Ch. 3 - Critical Thinking Consider the following Minitab...Ch. 3 - Prob. 4CRP Ch. 3 - Political Science: Georgia Democrats How...Ch. 3 - Grades: Weighted Average Professor Cramer...Ch. 3 - Prob. 7CRP Ch. 3 - Agriculture: Harvest Weight of Maize The following...Ch. 3 - Prob. 9CRP Ch. 3 - Agriculture: Bell Peppers The pathogen...Ch. 3 - Performance Rating: Weighted Average A performance...Ch. 3 - Prob. 1DH Ch. 3 - Prob. 2DH Ch. 3 - Prob. 1UT Ch. 3 - Prob. 1CURP Ch. 3 - Describe how the presence of possible outliers...Ch. 3 - Prob. 3CURP Ch. 3 - Prob. 4CURP Ch. 3 - Prob. 5CURP Ch. 3 - Prob. 6CURP Ch. 3 - Prob. 7CURP Ch. 3 - In west Texas, water is extremely important. The...Ch. 3 - Prob. 9CURP Ch. 3 - Prob. 10CURP Ch. 3 - Prob. 11CURP Ch. 3 - In west Texas, water is extremely important. The...Ch. 3 - Prob. 13CURP Ch. 3 - Prob. 14CURP Ch. 3 - Prob. 15CURP Ch. 3 - In west Texas, water is extremely important. The...Ch. 3 - Prob. 17CURP

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Statistical Literacy Which average—mean, median , or mode—is associated with the standard deviation?

Solution Summary: The author explains that the standard deviation is based on the difference between each data value and the mean of the data.

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