Introduction to Statistics and Data Analysis

5th Edition

ISBN: 9781305445963

Author: PECK

Publisher: Cengage

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Inverse Normal Distribution

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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 5, Problem 6CRE

In August 2009, Harris Interactive released the results of the “Great Schools” survey. In this survey, 1086 parents of children attending a public or private school were asked approximately how much they had spent on school supplies over the last school year. For this sample, the mean amount spent was $235.20 and the median amount spent was $150.00. What does the large difference between the mean and median tell you about this data set?

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 Solutions

Introduction to Statistics and Data Analysis

Ch. 5.1 - For each of the scatterplots shown, answer the...Ch. 5.1 - For each of the following pairs of variables,...Ch. 5.1 - Is the following statement correct? Explain why or...Ch. 5.1 - Prob. 4E Ch. 5.1 - Prob. 5E Ch. 5.1 - The accompanying data are x = Cost (cents per...Ch. 5.1 - The authors of the paper Flat-footedness Is Not a...Ch. 5.1 - Prob. 8E Ch. 5.1 - Prob. 9E Ch. 5.1 - The accompanying data were read from graphs that...

Ch. 5.1 - It may seem odd, but one of the ways biologists...Ch. 5.1 - An auction house released a list of 25 recently...Ch. 5.1 - A sample of automobiles traversing a certain...Ch. 5.2 - Two scatterplots are shown below. Explain why it...Ch. 5.2 - The authors of the paper Statistical Methods for...Ch. 5.2 - Prob. 16E Ch. 5.2 - A sample of 548 ethnically diverse students from...Ch. 5.2 - The relationship between hospital patient-to-nurse...Ch. 5.2 - Prob. 19E Ch. 5.2 - Prob. 20E Ch. 5.2 - Studies have shown that people who suffer sudden...Ch. 5.2 - The data given in the previous exercise on x =...Ch. 5.2 - An article on the cost of housing in Califomia...Ch. 5.2 - The following data on sale price, size, and...Ch. 5.2 - Explain why it can be dangerous to use the...Ch. 5.2 - The sales manager of a large company selected a...Ch. 5.2 - Explain why the slope b of the least-squares line...Ch. 5.2 - Prob. 28E Ch. 5.3 - Does it pay to stay in school? The report Trends...Ch. 5.3 - The data in the accompanying table is from the...Ch. 5.3 - Prob. 31E Ch. 5.3 - Prob. 32E Ch. 5.3 - Some types of algae have the potential to cause...Ch. 5.3 - Prob. 34E Ch. 5.3 - Prob. 35E Ch. 5.3 - Prob. 36E Ch. 5.3 - The article Examined Life: What Stanley H. Kaplan...Ch. 5.3 - Prob. 38E Ch. 5.3 - The article California State Parks Closure List...Ch. 5.3 - The article referenced in the previous exercise...Ch. 5.3 - A study was carried out to investigate the...Ch. 5.3 - Both r2 and se are used to assess the fit of a...Ch. 5.3 - Prob. 43E Ch. 5.4 - Prob. 44E Ch. 5.4 - The paper Aspects of Food Finding by Wintering...Ch. 5.4 - Food intake of grazing animals is limited by the...Ch. 5.4 - Prob. 47E Ch. 5.4 - Prob. 48E Ch. 5.4 - The paper Population Pressure and Agricultural...Ch. 5.4 - Determining the age of an animal can sometimes be...Ch. 5.5 - The paper How Lead Exposure Relates to Temporal...Ch. 5.5 - The following quote is from the paper Evaluation...Ch. 5 - The accompanying data represent x = Amount of...Ch. 5 - The paper A Cross-National Relationship Between...Ch. 5 - The following data on x = Score on a measure of...Ch. 5 - Prob. 58CR Ch. 5 - Prob. 59CR Ch. 5 - Prob. 60CR Ch. 5 - The paper Effects of Canine Parvovirus (CPV) on...Ch. 5 - The paper Aspects of Food Finding by Wintering...Ch. 5 - Data on salmon availability (x) and the percentage...Ch. 5 - No tortilla chip lover likes soggy chips, so it is...Ch. 5 - The article Reduction is Soluble Protein and...Ch. 5 - An accurate assessment of oxygen consumption...Ch. 5 - Consider the four (x, y) pairs (0, 0), (1, 1), 1,...Ch. 5 - Prob. 1CRE Ch. 5 - Data from a survey of 1046 adults age 50 and older...Ch. 5 - Prob. 3CRE Ch. 5 - Prob. 4CRE Ch. 5 - Prob. 5CRE Ch. 5 - In August 2009, Harris Interactive released the...Ch. 5 - Prob. 7CRE Ch. 5 - Prob. 8CRE Ch. 5 - Prob. 9CRE Ch. 5 - Prob. 10CRE Ch. 5 - Prob. 11CRE Ch. 5 - Prob. 12CRE Ch. 5 - Prob. 13CRE Ch. 5 - Cost-to-charge ratios (the percentage of the...Ch. 5 - Prob. 15CRE Ch. 5 - In the article Reproductive Biology of the Aquatic...Ch. 5 - Prob. 17CRE Ch. 5 - Prob. 18CRE Ch. 5 - The paper “Population Pressure and Agricultural...Ch. 5 - Anabolic steroid abuse has been increasing despite...Ch. 5 - Prob. 69E Ch. 5 - Prob. 70E Ch. 5 - Prob. 71E Ch. 5 - Prob. 72E Ch. 5 - Suppose the hypothetical data below are from a...Ch. 5 - Prob. 74E

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Solution Summary: The author explains the implication of the difference between the mean and median in a survey of 1,086 parents of public or private school children.

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