 3.2.1: The sum of the deviations about the mean always equals .
 3.2.1E: The sum of the deviations about the mean always equals_____.
 3.2.2: The standard deviation is used in conjunction with the to numerical...
 3.2.2E: The standard deviation is used in conjunction with the____ to numer...
 3.2.3: True or False: When comparing two populations, the larger the stand...
 3.2.3E: True or False: When comparing two populations, the larger the stand...
 3.2.4: True or False: Chebyshevs Inequality applies to all distributions r...
 3.2.4E: True or False: Chebyshev’s Inequality applies to all distributions ...
 3.2.5: In 510, by hand, find the population variance and standard deviatio...
 3.2.5E: Find the population variance and standard deviation or the sample v...
 3.2.6: In 510, by hand, find the population variance and standard deviatio...
 3.2.6E: Find the population variance and standard deviation or the sample v...
 3.2.7: In 510, by hand, find the population variance and standard deviatio...
 3.2.7E: Find the population variance and standard deviation or the sample v...
 3.2.8: In 510, by hand, find the population variance and standard deviatio...
 3.2.8E: Find the population variance and standard deviation or the sample v...
 3.2.9: In 510, by hand, find the population variance and standard deviatio...
 3.2.9E: Find the population variance and standard deviation or the sample v...
 3.2.10: In 510, by hand, find the population variance and standard deviatio...
 3.2.10E: Find the population variance and standard deviation or the sample v...
 3.2.11: Crash Test Results The Insurance Institute for Highway Safety crash...
 3.2.11E: Crash Test Results The Insurance Institute for Highway Safety crash...
 3.2.12: Cell Phone Use The following data represent the monthly cell phone ...
 3.2.12E: Cell Phone Use The following data represent the monthly cell phone ...
 3.2.13: Concrete Mix A certain type of concrete mix is designed to withstan...
 3.2.13E: Concrete Mix A certain type of concrete mix is designed to withstan...
 3.2.14: Flight Time The following data represent the flight time (in minute...
 3.2.14E: Flight Time The following data represent the flight time (in minute...
 3.2.15: Which histogram depicts a higher standard deviation? Justify your a...
 3.2.15E: Which histogram depicts a higher standard deviation? Justify your a...
 3.2.16: Match the histograms on the following page to the summary statistic...
 3.2.16E: Match the histograms on the following page to the summary statistic...
 3.2.17: pH in Water The acidity or alkalinity of a solution is measured usi...
 3.2.17E: pH in Water The acidity or alkalinity of a solution is measured usi...
 3.2.18: Reaction Time In an experiment conducted online at the University o...
 3.2.18E: Reaction Time In an experiment conducted online at the University o...
 3.2.19: Pulse Rates The following data represent the pulse rates (beats per...
 3.2.19E: Pulse Rates The following data represent the pulse rates (beats per...
 3.2.20: Travel Time The following data represent the travel time (in minute...
 3.2.20E: Travel Time The following data represent the travel time (in minute...
 3.2.21: A Fish Story Ethan and Drew went on a 10day fishing trip. The numb...
 3.2.21E: A Fish Story Ethan and Drew went on a 10day fishing trip. The numb...
 3.2.22: Soybean Yield The following data represent the number of pods on a ...
 3.2.22E: Soybean Yield The following data represent the number of pods on a ...
 3.2.23: The Empirical Rule The following data represent the weights (in gra...
 3.2.23E: The Empirical Rule The following data represent the weights (in gra...
 3.2.24: The Empirical Rule The following data represent the length of erupt...
 3.2.24E: The Empirical Rule The following data represent the length of erupt...
 3.2.25: Which Car Would You Buy? Suppose that you are in the market to purc...
 3.2.25E: Which Car Would You Buy? Suppose that you are in the market to purc...
 3.2.26: Which Investment Is Better? You have received a yearend bonus of $5...
 3.2.26E: Which Investment Is Better? You have received a yearend bonus of $5...
 3.2.27: Rates of Return of Stocks Stocks may be categorized by industry. Th...
 3.2.27E: Rates of Return of Stocks Stocks may be categorized by industry. Th...
 3.2.28: Temperatures It is well known that San Diego has milder weather tha...
 3.2.28E: Temperatures It is well known that San Diego has milder weather tha...
 3.2.29: The Empirical Rule The weight, in grams, of the pair of kidneys in ...
 3.2.29E: The Empirical Rule One measure of intelligence is the Stanford–Bine...
 3.2.30: The Empirical Rule SAT Math scores have a bellshaped distribution ...
 3.2.30E: The Empirical Rule SAT Math scores have a bellshaped distribution ...
 3.2.31: The Empirical Rule The weight, in grams, of the pair of kidneys in ...
 3.2.31E: The Empirical Rule The weight, in grams, of the pair of kidneys in ...
 3.2.32: The Empirical Rule The distribution of the length of bolts has a be...
 3.2.32E: The Empirical Rule The distribution of the length of bolts has a be...
 3.2.33: Which Professor? Suppose Professor Alpha and Professor Omega each t...
 3.2.33E: Which Professor? Suppose Professor Alpha and Professor Omega each t...
 3.2.34: Larry Summers Lawrence Summers (former secretary of the treasury an...
 3.2.34E: Larry Summers Lawrence Summers (former secretary of the treasury an...
 3.2.35: Chebyshevs Inequality In December 2010, the average price of regula...
 3.2.35E: Chebyshev’s Inequality In December 2010, the average price of regul...
 3.2.36: Chebyshevs Inequality According to the U.S. Census Bureau, the mean...
 3.2.36E: Chebyshev’s Inequality According to the U.S. Census Bureau, the mea...
 3.2.37: Comparing Standard Deviations The standard deviation of batting ave...
 3.2.37E: Comparing Standard Deviations The standard deviation of batting ave...
 3.2.38: Linear Transformations Benjamin owns a small Internet business. Bes...
 3.2.38E: Linear Transformations Benjamin owns a small Internet business.Besi...
 3.2.39: Resistance and Sample Size Each of the following three data sets re...
 3.2.39E: Resistance and Sample Size Each of the following three data sets re...
 3.2.40: Identical Values Compute the sample standard deviation of the follo...
 3.2.40E: Identical Values Compute the sample standard deviation of the follo...
 3.2.41: Blocking and Variability Recall that blocking refers to the idea th...
 3.2.41E: Blocking and Variability Recall that blocking refers to the idea th...
 3.2.42: Mean Absolute Deviation Another measure of variation is the mean ab...
 3.2.42E: Mean Absolute Deviation Another measure of variation is the mean ab...
 3.2.43: Coefficient of Skewness Karl Pearson developed a measure that descr...
 3.2.43E: Coefficient of Skewness Karl Pearson developed a measure that descr...
 3.2.44: Coefficient of Skewness Karl Pearson developed a measure that descr...
 3.2.44E: Diversification A popular theory in investment states that you shou...
 3.2.45: More Spread? The data set on the left represents the annual rate of...
 3.2.45E: More Spread? The data set on the left represents the annual rate of...
 3.2.46: Sullivan Survey Choose any two quantitative variables from the Sull...
 3.2.46E: Sullivan Survey Choose any two quantitative variables from the Sull...
 3.2.47: Sullivan Survey Choose any quantitative variable from the Sullivan ...
 3.2.47E: Sullivan Survey Choose any quantitative variable from the Sullivan ...
 3.2.48: Would it be appropriate to say that a distribution with a standard ...
 3.2.48E: Would it be appropriate to say that a distribution with a standard ...
 3.2.49: What is meant by the phrase degrees of freedom as it pertains to th...
 3.2.49E: What is meant by the phrase degrees of freedom as it pertains to th...
 3.2.50: Are any of the measures of dispersion mentioned in this section res...
 3.2.50E: Are any of the measures of dispersion mentioned in this section res...
 3.2.51: What does it mean when a statistic is biased?
 3.2.51E: What does it mean when a statistic is biased?
 3.2.52: What makes the range less desirable than the standard deviation as ...
 3.2.52E: What makes the range less desirable than the standard deviation as ...
 3.2.53: In one of Sullivans statistics sections, the standard deviation of ...
 3.2.53E: In one of Sullivan’s statistics sections, the standard deviation of...
 3.2.54: Explain how standard deviation measures spread. In your explanation...
 3.2.54E: Explain how standard deviation measures spread. In your explanation...
 3.2.55: Which of the following would have a higher standard deviation? (a) ...
 3.2.55E: Which of the following would have a higher standard deviation? (a) ...
 3.2.56: Develop a sample of size n = 8 such that x = 15 and s = 0
 3.2.56E: Develop a sample of size n = 8 such that x = 15 and s = 0.
 3.2.57: Draw two histograms with different standard deviations and label th...
 3.2.57E: Draw two histograms with different standard deviations and label th...
 3.2.58: Fast Pass In 2000, the Walt Disney Company created the fast pass. A...
 3.2.58E: Fast Pass In 2000, the Walt Disney Company created the “fast pass.”...
Solutions for Chapter 3.2: MEASURES OF DISPERSION
Full solutions for Statistics: Informed Decisions Using Data  4th Edition
ISBN: 9780321757272
Solutions for Chapter 3.2: MEASURES OF DISPERSION
Get Full SolutionsSince 116 problems in chapter 3.2: MEASURES OF DISPERSION have been answered, more than 162013 students have viewed full stepbystep solutions from this chapter. Chapter 3.2: MEASURES OF DISPERSION includes 116 full stepbystep solutions. This textbook survival guide was created for the textbook: Statistics: Informed Decisions Using Data , edition: 4. This expansive textbook survival guide covers the following chapters and their solutions. Statistics: Informed Decisions Using Data was written by and is associated to the ISBN: 9780321757272.

2 k factorial experiment.
A full factorial experiment with k factors and all factors tested at only two levels (settings) each.

Addition rule
A formula used to determine the probability of the union of two (or more) events from the probabilities of the events and their intersection(s).

Bayes’ theorem
An equation for a conditional probability such as PA B (  ) in terms of the reverse conditional probability PB A (  ).

Bimodal distribution.
A distribution with two modes

Box plot (or box and whisker plot)
A graphical display of data in which the box contains the middle 50% of the data (the interquartile range) with the median dividing it, and the whiskers extend to the smallest and largest values (or some deined lower and upper limits).

Central tendency
The tendency of data to cluster around some value. Central tendency is usually expressed by a measure of location such as the mean, median, or mode.

Chance cause
The portion of the variability in a set of observations that is due to only random forces and which cannot be traced to speciic sources, such as operators, materials, or equipment. Also called a common cause.

Combination.
A subset selected without replacement from a set used to determine the number of outcomes in events and sample spaces.

Correlation matrix
A square matrix that contains the correlations among a set of random variables, say, XX X 1 2 k , ,…, . The main diagonal elements of the matrix are unity and the offdiagonal elements rij are the correlations between Xi and Xj .

Counting techniques
Formulas used to determine the number of elements in sample spaces and events.

Cumulative normal distribution function
The cumulative distribution of the standard normal distribution, often denoted as ?( ) x and tabulated in Appendix Table II.

Deining relation
A subset of effects in a fractional factorial design that deine the aliases in the design.

Dependent variable
The response variable in regression or a designed experiment.

Design matrix
A matrix that provides the tests that are to be conducted in an experiment.

Discrete distribution
A probability distribution for a discrete random variable

Erlang random variable
A continuous random variable that is the sum of a ixed number of independent, exponential random variables.

Forward selection
A method of variable selection in regression, where variables are inserted one at a time into the model until no other variables that contribute signiicantly to the model can be found.

Gamma function
A function used in the probability density function of a gamma random variable that can be considered to extend factorials

Harmonic mean
The harmonic mean of a set of data values is the reciprocal of the arithmetic mean of the reciprocals of the data values; that is, h n x i n i = ? ? ? ? ? = ? ? 1 1 1 1 g .

Hat matrix.
In multiple regression, the matrix H XXX X = ( ) ? ? 1 . This a projection matrix that maps the vector of observed response values into a vector of itted values by yˆ = = X X X X y Hy ( ) ? ? ?1 .