Pearson eText Introductory Statistics: Exploring the World Through Data -- Instant Access (Pearson+)

3rd Edition

ISBN: 9780136880882

Author: Robert Gould, Rebecca Wong

Publisher: PEARSON+

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Inverse Normal Distribution

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, Problem 49SE

Outliers

a. In your own words, describe to someone who knows only a little statistics how to recognize when an observation is an outlier. What action(s) should be taken with an outlier?

b. Which measure of the center (mean or median) is more resistant to outliers, and what does “resistant to outliers” mean?

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, Problem 48SE

Chapter 3, Problem 50SE

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Chapter 3 Solutions

Pearson eText Introductory Statistics: Exploring the World Through Data -- Instant Access (Pearson+)

Ch. 3 - Earnings A sociologist says, “Typically, men in...Ch. 3 - Houses A real estate agent claims that all things...Ch. 3 - Exercise Hours (Example 1) The histogram shows the...Ch. 3 - Sodium The following histogram shows the sodium...Ch. 3 - Tall Buildings The table shows the location and...Ch. 3 - Roller Coasters The table shows the names and...Ch. 3 - River Lengths (Example 2) The table shows the...Ch. 3 - Children of First Ladies This list represents the...Ch. 3 - 200-Meter Run The table show the gold medal...Ch. 3 - Olympic Swimming Times The table shows the...

Ch. 3 - Wedding Costs by Gender (Example 3) StatCrunch did...Ch. 3 - Wedding Costs by Experience StatCrunch did a...Ch. 3 - Surfing College students and surfers Rex Robinson...Ch. 3 - State College Tuition The tuition costs (in...Ch. 3 - Winter Temperatures San Jose and Denver (Example...Ch. 3 - Summer Temperatures L.A. and NYC The histograms...Ch. 3 - Weight Gain during Pregnancy (Example 5) The mean...Ch. 3 - Birth Length The mean birth length for U.S....Ch. 3 - Orange Juice Prices (Example 6) From Amazon.com,...Ch. 3 - Sibling Ages Four siblings are 2, 6, 9, and 10...Ch. 3 - Olympics In the most recent summer Olympics, do...Ch. 3 - Weights Suppose you have a data set with the...Ch. 3 - Home Prices (SC and TN) The prices (in $ thousand)...Ch. 3 - Home Prices (FL and GA) The prices (in $ thousand)...Ch. 3 - Drinkers The number of alcoholic drinks per week...Ch. 3 - Prob. 26SE Ch. 3 - Standard Deviation Is it possible for a standard...Ch. 3 - Standard Deviation Is it possible for a standard...Ch. 3 - Major League Baseball Runs (Example 7) The...Ch. 3 - Residential Energy Consumption (East) Data on...Ch. 3 - Pollution Index (Example 8) In 2017 a pollution...Ch. 3 - Pollution Index In 2017 a pollution index was...Ch. 3 - Heights and z-Scores The dotplot shows heights of...Ch. 3 - Heights Refer to the dotplot in the previous...Ch. 3 - Unusual IQs (Example 9) Wechsler IQ tests have a...Ch. 3 - Lengths of Pregnancy Distributions of gestation...Ch. 3 - Low-Birth-Weight Babies (Example 10) Babies born...Ch. 3 - Birth Lengths Babies born after 40 weeks gestation...Ch. 3 - Men’s Heights Assume that men’s heights have a...Ch. 3 - Women’s Heights Assume that women’s heights have a...Ch. 3 - Name two measures of the center of a distribution,...Ch. 3 - Name two measures of the variation of a...Ch. 3 - Marvel Movies (Example 11 and 13) The top ten...Ch. 3 - DC Movies The top seven movies based on DC comic...Ch. 3 - Top Seven Marvel Movies (Example 12) Use the data...Ch. 3 - Top Five DC Movies Use the data in Exercise 3.44,...Ch. 3 - Total Energy Consumption Data was collected on the...Ch. 3 - Industrial Energy Consumption Data was collected...Ch. 3 - Outliers a. In your own words, describe to someone...Ch. 3 - Center and Variation When you are comparing two...Ch. 3 - An Error A dieter recorded the number of calories...Ch. 3 - Baseball Strike In 1994, Major League Baseball...Ch. 3 - Home Prices Home prices in San Luis Obispo County...Ch. 3 - Youth Heights The National Longitudinal Survey...Ch. 3 - Senator Years in Office (Example 14) The following...Ch. 3 - MLB Player Ages The following histograms show the...Ch. 3 - Prob. 57SE Ch. 3 - Death Row: West The following table shows the...Ch. 3 - The Consumer Price Index (CPI) (Example 16)...Ch. 3 - Prob. 60SE Ch. 3 - Prob. 61SE Ch. 3 - Mean from a Histogram The histogram shows the...Ch. 3 - Poverty Rates The following boxplot shows the...Ch. 3 - Regional Population Density The figure shows the...Ch. 3 - Professional Sport Ticket Prices The following...Ch. 3 - BA Attainment The following boxplot shows the...Ch. 3 - Matching Boxplots and Histograms a. Report the...Ch. 3 - Matching Boxplots and Histograms Match each of the...Ch. 3 - Public Libraries Data at this text’s website show...Ch. 3 - Gas Taxes Data at this text’s website show the gas...Ch. 3 - Roller Coaster Heights (Example 17) The dotplot...Ch. 3 - Passing the Bar Exam The following dotplot shows...Ch. 3 - Exam Scores The five-number summary for a...Ch. 3 - Exam Scores The five-number summary for a...Ch. 3 - Prob. 75CRE Ch. 3 - Gas Taxes (West) The following table shows the gas...Ch. 3 - Final Exam Grades The data that follow are final...Ch. 3 - Speeding Tickets College students Diane Glover and...Ch. 3 - Heights The following graph shows the heights for...Ch. 3 - Marathon Times The following histogram of marathon...Ch. 3 - Prob. 81CRE Ch. 3 - Chain Restaurant Calories The New York Times...Ch. 3 - 12th-Grade Sleep The histogram shows hours of...Ch. 3 - For exercises 3.85 through 3.88, construct two...Ch. 3 - For exercises 3.85 through 3.88, construct two...Ch. 3 - For exercises 3.85 through 3.88, construct two...Ch. 3 - For exercises 3.85 through 3.88, construct two...Ch. 3 - Educational Attainment The tables below show the...Ch. 3 - Unemployment Rates The tables below show the 2015...Ch. 3 - Professional Sports Ticket Prices The following...Ch. 3 - Professional Sports Ticket Prices The following...Ch. 3 - Exam Scores An exam score has a mean of 80 and a...Ch. 3 - Boys’ Heights Three-year-old boys in the United...Ch. 3 - SAT and ACT Scores Quantitative SAT scores have a...Ch. 3 - Children’s Heights Mrs. Diaz has two children: a...Ch. 3 - Prob. 97CRE Ch. 3 - Students’ Ages Here are the ages of some students...Ch. 3 - Race Times The following graph shows the time it...Ch. 3 - Prob. 100CRE Ch. 3 - Prob. 101CRE Ch. 3 - Prob. 102CRE

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Solution Summary: The author explains how to recognize an outlier and the actions to take with it.

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