The document discusses biostatistics and its importance in research and data analysis. It defines key biostatistics concepts like population and sample, parameter and statistic, and measures of central tendency and dispersion. It also discusses hypothesis testing and provides an example analyzing body mass index data from a student population to compare means between gender groups and examine sampling error.
This document provides an overview and objectives for Chapter 3 of the textbook "Statistical Techniques in Business and Economics" by Lind. The chapter covers describing data through numerical measures of central tendency (mean, median, mode) and dispersion (range, variance, standard deviation). It includes examples of computing various measures like the weighted mean, median, mode, and interpreting their relationships. The document also lists learning activities for students such as reading the chapter, watching video lectures, completing practice problems in the book, and participating in an online discussion forum.
This document provides an overview of univariate analysis. It defines key terms like variables, scales of measurement, and types of univariate analysis. It describes descriptive statistics like measures of central tendency (mean, median, mode) and dispersion (range, variance, standard deviation). It also discusses inferential univariate analysis and appropriate statistical tests for different variable types and research questions, including z-tests, t-tests, and chi-square tests. Examples are provided to illustrate calculating and interpreting these statistics.
This document provides an overview of central tendency measures that will be covered in Chapter 3-A, including the mean, mode, and median for both ungrouped and grouped data. It also includes examples of calculating the mean, weighted mean, and mode. The document reviews key concepts such as the difference between parameters and statistics. Overall, the document previews and reviews important concepts related to measures of central tendency that will be covered in the upcoming chapter.
This document provides a summary of key concepts from Chapter 3 of a statistics textbook, including:
- How to calculate measures of central tendency like the mean, median, mode, and weighted mean
- The characteristics and properties of each measure
- How the positions of the mean, median and mode relate to the shape of the distribution
- How to calculate the mean, median and mode for grouped data
- What the geometric mean represents and how it is calculated
The document provides examples to calculate and compare measures of central tendency (mean, median, mode) for data sets. It explains that the mean is the average value calculated by summing all values and dividing by the total number of values. The median is the middle value of a data set arranged in numerical order. The mode is the value that occurs most frequently in a data set. Calculating these measures helps analyze and describe the central or typical values in a data set.
The document contains sample questions about statistical concepts such as mean, median, mode, frequency, and formulas to calculate these measures of central tendency. It also includes examples of calculating the mean, median, and mode for various data sets, as well as the effect of outliers on changing the values of each measure. The questions cover key topics like defining statistical terminology, identifying appropriate formulas, and computing mean, median, and mode from raw data and grouped data.
Introduction to Statistics An Active Learning Approach 2nd Edition by Carlson...dolgtick
The document provides sample questions and answers about measures of central tendency from Chapter 2 of Carlson's textbook. It covers key concepts like the mean, median and mode, and when each should be used depending on the measurement scale and distribution shape. The questions test understanding of computing and interpreting these measures, including through SPSS.
The document discusses biostatistics and its importance in research and data analysis. It defines key biostatistics concepts like population and sample, parameter and statistic, and measures of central tendency and dispersion. It also discusses hypothesis testing and provides an example analyzing body mass index data from a student population to compare means between gender groups and examine sampling error.
This document provides an overview and objectives for Chapter 3 of the textbook "Statistical Techniques in Business and Economics" by Lind. The chapter covers describing data through numerical measures of central tendency (mean, median, mode) and dispersion (range, variance, standard deviation). It includes examples of computing various measures like the weighted mean, median, mode, and interpreting their relationships. The document also lists learning activities for students such as reading the chapter, watching video lectures, completing practice problems in the book, and participating in an online discussion forum.
This document provides an overview of univariate analysis. It defines key terms like variables, scales of measurement, and types of univariate analysis. It describes descriptive statistics like measures of central tendency (mean, median, mode) and dispersion (range, variance, standard deviation). It also discusses inferential univariate analysis and appropriate statistical tests for different variable types and research questions, including z-tests, t-tests, and chi-square tests. Examples are provided to illustrate calculating and interpreting these statistics.
This document provides an overview of central tendency measures that will be covered in Chapter 3-A, including the mean, mode, and median for both ungrouped and grouped data. It also includes examples of calculating the mean, weighted mean, and mode. The document reviews key concepts such as the difference between parameters and statistics. Overall, the document previews and reviews important concepts related to measures of central tendency that will be covered in the upcoming chapter.
This document provides a summary of key concepts from Chapter 3 of a statistics textbook, including:
- How to calculate measures of central tendency like the mean, median, mode, and weighted mean
- The characteristics and properties of each measure
- How the positions of the mean, median and mode relate to the shape of the distribution
- How to calculate the mean, median and mode for grouped data
- What the geometric mean represents and how it is calculated
The document provides examples to calculate and compare measures of central tendency (mean, median, mode) for data sets. It explains that the mean is the average value calculated by summing all values and dividing by the total number of values. The median is the middle value of a data set arranged in numerical order. The mode is the value that occurs most frequently in a data set. Calculating these measures helps analyze and describe the central or typical values in a data set.
The document contains sample questions about statistical concepts such as mean, median, mode, frequency, and formulas to calculate these measures of central tendency. It also includes examples of calculating the mean, median, and mode for various data sets, as well as the effect of outliers on changing the values of each measure. The questions cover key topics like defining statistical terminology, identifying appropriate formulas, and computing mean, median, and mode from raw data and grouped data.
Introduction to Statistics An Active Learning Approach 2nd Edition by Carlson...dolgtick
The document provides sample questions and answers about measures of central tendency from Chapter 2 of Carlson's textbook. It covers key concepts like the mean, median and mode, and when each should be used depending on the measurement scale and distribution shape. The questions test understanding of computing and interpreting these measures, including through SPSS.
This document provides an overview of key concepts in statistics including:
1. Statistics involves collecting, organizing, analyzing, and interpreting data to make decisions. Data comes from observations, counts, or measurements.
2. A population is the entire group being studied, while a sample is a subset of the population. Parameters describe populations, while statistics describe samples.
3. Descriptive statistics involve summarizing and displaying data, while inferential statistics use samples to draw conclusions about populations.
4. Data can be qualitative (attributes) or quantitative (numbers). It can also be measured at the nominal, ordinal, interval, or ratio level.
This document provides an overview of basic statistical concepts including descriptive and inferential statistics, variables and levels of measurement, and methods of data collection and presentation. Descriptive statistics summarize and organize data, while inferential statistics make conclusions about a population based on a sample. There are various methods used to collect both primary and secondary data, including observation, surveys, and existing records. Data is typically presented through tables, diagrams, and graphs. Frequency distributions group and summarize data into classes to aid in analysis and interpretation.
This document provides an overview of basic statistical concepts including descriptive and inferential statistics, variables and levels of measurement, and methods of data collection and presentation. Descriptive statistics summarize and organize data, while inferential statistics make conclusions about a population based on a sample. There are various methods used to collect both primary and secondary data, including observation, surveys, and existing records. Data is typically presented through tables, diagrams, and graphs. Frequency distributions group and summarize data into classes to aid in analysis and interpretation.
The document discusses introductory statistics concepts including descriptive statistics, inferential statistics, types of variables, levels of measurement, frequency tables, histograms, and other methods for organizing and presenting data. Chapter 1 covers what statistics is, types of statistics, variables, and levels of measurement. Chapter 2 discusses describing data through frequency tables, bar charts, histograms, and other graphs. The learning goals are to understand descriptive vs inferential statistics and distinguish between different statistical concepts.
Statistical Techniques in Business and Economics 15th Edition Lind Test BankClaresaLan
Full download : http://alibabadownload.com/product/statistical-techniques-in-business-and-economics-15th-edition-lind-test-bank/ Statistical Techniques in Business and Economics 15th Edition Lind Test Bank
Statistics
Summer 2019
Name: Cindy Charles
Multiple choice section:
1. A researcher is interested in studying the eating behavior of a rats and selects a group of 25 rats to be tested in a research study. The group of 25 rates is an example of a
a. sample
.
b. statistic
c. population
d. parameter
2. A researcher uses an anonymous survey to investigate the study habits of the American college students. The entire group of American college students is an example of a
a. sample
.
b. statistic
c. population
d. parameter
3. A characteristic, usually a numerical value, that describes a sample is called a
a. sample
.
b. statistic
c. population
d. parameter
4. Determining the class standing for the graduating seniors at a high school would involve measurement on a(n) ____________ scale of measurement.
a. nominal
.
b. ordinal
c. interval
d. ratio
5. A researcher conducts a study to determine whether moderate doses of St. John’s Wort have any effect on memory in college students. For this study, with is the independent variable?
a. the amount of St. John’s Wort given to each participant.
b. the memory score for each participant
c. the group of college students
d. cannot answer without more information.
6. When we are interested in simply looking at the association or relationship between two contiguous variables as they exist naturally , the following research method is likely to be helpful:
a. correlational
b. experimental
c. quasi-experimental
d. non-parametric
7. In an experiment looking at the effect of eating varied levels of multiple portions of ice cream, daily, on blood serum cholesterol levels (HDL)
a. eating ice cream is the independent variable (IV) and HDL is the dependent variable (DV).
b. ice cream, the DV and HDL, the IV
c. neither, this is a correlational study
d. ice cream and HDL are both independent variables
8. “Girl, boy, girl, girl, boy, boy, boy, girl. So, there’s 4 girls and 4 boys.” Our enumerator is employing which of the following scales
a. ratio
b. sex differential
c. interval
d. nominal
9. “I came in first place in the “Best Statistics Professor” category. That clearly shows I am much better at this than most other professors on campus.”
a. This is a reasonable conclusion, since first place in Statistics must be a higher rating than, say, third place in Multicultural Education.
b. The speaker mistakenly attributes arithmetic characteristics to ordinal data.
c. The statement has absolutely no meaning, since we do not know the number of other professors on campus or teaching statistics. It represents an example of the absolute or ratio scale.
d. The interval scale applies here, because voters used a relative standar.
This document provides an overview of Chapter 3 from Bluman's statistics textbook. The chapter covers data description, including measures of central tendency (mean, median, mode, midrange), measures of variation (range, variance, standard deviation), and measures of position (percentiles, deciles, quartiles). It includes objectives, key concepts, examples, and properties for each measure. The chapter aims to help readers summarize, describe, and analyze data through various statistical techniques.
This document contains information about a student named Vinay Aradhya enrolled in an MBA program. It includes responses to four questions on statistics.
Q1 defines characteristics of statistics such as dealing with numerical data collection and analysis, and being affected by multiple causes. Q2 explains that statistical averages summarize data, facilitate comparison, and provide a basis for decision making. It lists requisites of a good average.
Q3 lists characteristics of the Chi-square test as being based on frequencies, non-parametric, and useful for testing independence between attributes. Q4 defines a cost of living index and discusses methods for its construction, including the aggregate expenditure and family budget methods with an example of each.
Qnt 351 final exam mcq`s correct answers 100%liamSali
This document contains 30 multiple choice questions about statistics concepts such as descriptive statistics, levels of measurement, measures of central tendency, probability, probability distributions, hypothesis testing, and correlation. It also provides brief feedback asking the user to leave an "A" rating if the questions helped and wishing them good luck on their exam.
(New) final exam for qnt 351 all correct answers 100%quikly11
This document contains 30 multiple choice questions about statistics concepts such as descriptive statistics, levels of measurement, measures of central tendency, probability, probability distributions, hypothesis testing, and correlation. It indicates that the questions will be chosen randomly from a large set for a final exam and requests an "A" feedback rating if the questions helped with exam preparation.
(New) final exam for qnt 351 qnt 351 all correct answers 100%ri0908O0o
This document contains 30 multiple choice questions about statistics concepts such as descriptive statistics, levels of measurement, measures of central tendency, probability, probability distributions, hypothesis testing, and correlation. It also provides brief feedback asking the user to leave an "A" rating if the questions helped and wishing them good luck on their exam.
Qnt 351 final exam mcq`s correct answers 100%Austing_3
This document contains 30 multiple choice questions about statistics concepts such as descriptive statistics, levels of measurement, measures of central tendency, probability, probability distributions, hypothesis testing, and correlation. It also provides brief feedback asking the user to leave an "A" rating if the questions helped and wishing them good luck on their exam.
This document provides an introduction to statistics and data visualization. It discusses key topics including descriptive and inferential statistics, variables and types of data, sampling techniques, organizing and graphing data, measures of central tendency and variation, and random variables. Specifically, it defines statistics as collecting, organizing, summarizing, analyzing and making decisions from data. It also outlines the main differences between descriptive statistics, which describes data, and inferential statistics, which uses samples to make estimations about populations.
QNT 351 Final Exam Answers 2015 versionvincenzwhaley
QNT 351 Final Exam Answers
1) The main purpose of descriptive statistics is to
A. summarize data in a useful and informative manner
B. make inferences about a population
C. determine if the data adequately represents the population
D. gather or collect data
2) The general process of gathering, organizing, summarizing, analyzing, and interpreting data is called
A. statistics
B. descriptive statistics
C. inferential statistics
D. levels of measurement
3) The performance of personal and business investments is measured as a percentage, return on investment. What type of variable is return on investment?
A. Qualitative
B. Continuous
C. Attribute
D. Discrete
4) What type of variable is the number of robberies reported in your city?
A. Attribute
B. Continuous
C. Discrete
D. Qualitative
5) What level of measurement is the number of auto accidents reported in a given month?
A. Nominal
B. Ordinal
C. Interval
D. Ratio
6) The names of
QNT 351 Final Exam Answers 2015 versioncelestiaorias
QNT 351 Final Exam Answers
1) The main purpose of descriptive statistics is to
A. summarize data in a useful and informative manner
B. make inferences about a population
C. determine if the data adequately represents the population
D. gather or collect data
2) The general process of gathering, organizing, summarizing, analyzing, and interpreting data is called
A. statistics
B. descriptive statistics
C. inferential statistics
D. levels of measurement
3) The performance of personal and business investments is measured as a percentage, return on investment. What type of variable is return on investment?
A. Qualitative
B. Continuous
C. Attribute
D. Discrete
4) What type of variable is the number of robberies reported in your city?
A. Attribute
B. Continuous
C. Discrete
D. Qualitative
5) What level of measurement is the number of auto accidents reported in a given month?
A. Nominal
B. Ordinal
C. Interval
D. Ratio
6) The names of
QNT 351 Final Exam Answers 2015 versioncelestiaorias
QNT 351 Final Exam Answers
1) The main purpose of descriptive statistics is to
A. summarize data in a useful and informative manner
B. make inferences about a population
C. determine if the data adequately represents the population
D. gather or collect data
2) The general process of gathering, organizing, summarizing, analyzing, and interpreting data is called
A. statistics
B. descriptive statistics
C. inferential statistics
D. levels of measurement
3) The performance of personal and business investments is measured as a percentage, return on investment. What type of variable is return on investment?
A. Qualitative
B. Continuous
C. Attribute
D. Discrete
4) What type of variable is the number of robberies reported in your city?
A. Attribute
B. Continuous
C. Discrete
D. Qualitative
5) What level of measurement is the number of auto accidents reported in a given month?
A. Nominal
B. Ordinal
C. Interval
D. Ratio
6) The names of
QNT 351 Final Exam Answers 2015 versioncelestiaorias
QNT 351 Final Exam Answers
1) The main purpose of descriptive statistics is to
A. summarize data in a useful and informative manner
B. make inferences about a population
C. determine if the data adequately represents the population
D. gather or collect data
2) The general process of gathering, organizing, summarizing, analyzing, and interpreting data is called
A. statistics
B. descriptive statistics
C. inferential statistics
D. levels of measurement
3) The performance of personal and business investments is measured as a percentage, return on investment. What type of variable is return on investment?
A. Qualitative
B. Continuous
C. Attribute
D. Discrete
4) What type of variable is the number of robberies reported in your city?
A. Attribute
B. Continuous
C. Discrete
D. Qualitative
5) What level of measurement is the number of auto accidents reported in a given month?
A. Nominal
B. Ordinal
C. Interval
D. Ratio
6) The names of
QNT 351 Final Exam Answers 2015 versioncelestiaorias
QNT 351 Final Exam Answers
1) The main purpose of descriptive statistics is to
A. summarize data in a useful and informative manner
B. make inferences about a population
C. determine if the data adequately represents the population
D. gather or collect data
2) The general process of gathering, organizing, summarizing, analyzing, and interpreting data is called
A. statistics
B. descriptive statistics
C. inferential statistics
D. levels of measurement
3) The performance of personal and business investments is measured as a percentage, return on investment. What type of variable is return on investment?
A. Qualitative
B. Continuous
C. Attribute
D. Discrete
4) What type of variable is the number of robberies reported in your city?
A. Attribute
B. Continuous
C. Discrete
D. Qualitative
5) What level of measurement is the number of auto accidents reported in a given month?
A. Nominal
B. Ordinal
C. Interval
D. Ratio
6) The names of
QNT 351 Final Exam Answers 2015 versionmahallbethena
QNT 351 Final Exam Answers
1) The main purpose of descriptive statistics is to
A. summarize data in a useful and informative manner
B. make inferences about a population
C. determine if the data adequately represents the population
D. gather or collect data
2) The general process of gathering, organizing, summarizing, analyzing, and interpreting data is called
A. statistics
B. descriptive statistics
C. inferential statistics
D. levels of measurement
3) The performance of personal and business investments is measured as a percentage, return on investment. What type of variable is return on investment?
A. Qualitative
B. Continuous
C. Attribute
D. Discrete
4) What type of variable is the number of robberies reported in your city?
A. Attribute
B. Continuous
C. Discrete
D. Qualitative
5) What level of measurement is the number of auto accidents reported in a given month?
A. Nominal
B. Ordinal
C. Interval
D. Ratio
6) The names of
QNT 351 Final Exam Answers 2015 versioncelestiaorias
This document contains 30 multiple choice questions from the QNT 351 Final Exam along with the answers. The questions cover topics in descriptive statistics including levels of measurement, measures of central tendency, probability distributions, hypothesis testing, and correlation. This exam tests students' understanding of foundational quantitative analysis concepts and techniques.
The document provides an overview of topics to be covered in Chapter 16 on time series and forecasting, including using trend equations to forecast future periods and develop seasonally adjusted forecasts, determining and interpreting seasonal indexes, and deseasonalizing data using a seasonal index. It also includes examples of calculating seasonal indices and adjusting sales data to remove seasonal variation. The document is a lecture outline and review for a class on international business taught by Dr. Ning Ding at Hanze University of Applied Sciences Groningen.
This document provides an overview of key concepts in statistics including:
1. Statistics involves collecting, organizing, analyzing, and interpreting data to make decisions. Data comes from observations, counts, or measurements.
2. A population is the entire group being studied, while a sample is a subset of the population. Parameters describe populations, while statistics describe samples.
3. Descriptive statistics involve summarizing and displaying data, while inferential statistics use samples to draw conclusions about populations.
4. Data can be qualitative (attributes) or quantitative (numbers). It can also be measured at the nominal, ordinal, interval, or ratio level.
This document provides an overview of basic statistical concepts including descriptive and inferential statistics, variables and levels of measurement, and methods of data collection and presentation. Descriptive statistics summarize and organize data, while inferential statistics make conclusions about a population based on a sample. There are various methods used to collect both primary and secondary data, including observation, surveys, and existing records. Data is typically presented through tables, diagrams, and graphs. Frequency distributions group and summarize data into classes to aid in analysis and interpretation.
This document provides an overview of basic statistical concepts including descriptive and inferential statistics, variables and levels of measurement, and methods of data collection and presentation. Descriptive statistics summarize and organize data, while inferential statistics make conclusions about a population based on a sample. There are various methods used to collect both primary and secondary data, including observation, surveys, and existing records. Data is typically presented through tables, diagrams, and graphs. Frequency distributions group and summarize data into classes to aid in analysis and interpretation.
The document discusses introductory statistics concepts including descriptive statistics, inferential statistics, types of variables, levels of measurement, frequency tables, histograms, and other methods for organizing and presenting data. Chapter 1 covers what statistics is, types of statistics, variables, and levels of measurement. Chapter 2 discusses describing data through frequency tables, bar charts, histograms, and other graphs. The learning goals are to understand descriptive vs inferential statistics and distinguish between different statistical concepts.
Statistical Techniques in Business and Economics 15th Edition Lind Test BankClaresaLan
Full download : http://alibabadownload.com/product/statistical-techniques-in-business-and-economics-15th-edition-lind-test-bank/ Statistical Techniques in Business and Economics 15th Edition Lind Test Bank
Statistics
Summer 2019
Name: Cindy Charles
Multiple choice section:
1. A researcher is interested in studying the eating behavior of a rats and selects a group of 25 rats to be tested in a research study. The group of 25 rates is an example of a
a. sample
.
b. statistic
c. population
d. parameter
2. A researcher uses an anonymous survey to investigate the study habits of the American college students. The entire group of American college students is an example of a
a. sample
.
b. statistic
c. population
d. parameter
3. A characteristic, usually a numerical value, that describes a sample is called a
a. sample
.
b. statistic
c. population
d. parameter
4. Determining the class standing for the graduating seniors at a high school would involve measurement on a(n) ____________ scale of measurement.
a. nominal
.
b. ordinal
c. interval
d. ratio
5. A researcher conducts a study to determine whether moderate doses of St. John’s Wort have any effect on memory in college students. For this study, with is the independent variable?
a. the amount of St. John’s Wort given to each participant.
b. the memory score for each participant
c. the group of college students
d. cannot answer without more information.
6. When we are interested in simply looking at the association or relationship between two contiguous variables as they exist naturally , the following research method is likely to be helpful:
a. correlational
b. experimental
c. quasi-experimental
d. non-parametric
7. In an experiment looking at the effect of eating varied levels of multiple portions of ice cream, daily, on blood serum cholesterol levels (HDL)
a. eating ice cream is the independent variable (IV) and HDL is the dependent variable (DV).
b. ice cream, the DV and HDL, the IV
c. neither, this is a correlational study
d. ice cream and HDL are both independent variables
8. “Girl, boy, girl, girl, boy, boy, boy, girl. So, there’s 4 girls and 4 boys.” Our enumerator is employing which of the following scales
a. ratio
b. sex differential
c. interval
d. nominal
9. “I came in first place in the “Best Statistics Professor” category. That clearly shows I am much better at this than most other professors on campus.”
a. This is a reasonable conclusion, since first place in Statistics must be a higher rating than, say, third place in Multicultural Education.
b. The speaker mistakenly attributes arithmetic characteristics to ordinal data.
c. The statement has absolutely no meaning, since we do not know the number of other professors on campus or teaching statistics. It represents an example of the absolute or ratio scale.
d. The interval scale applies here, because voters used a relative standar.
This document provides an overview of Chapter 3 from Bluman's statistics textbook. The chapter covers data description, including measures of central tendency (mean, median, mode, midrange), measures of variation (range, variance, standard deviation), and measures of position (percentiles, deciles, quartiles). It includes objectives, key concepts, examples, and properties for each measure. The chapter aims to help readers summarize, describe, and analyze data through various statistical techniques.
This document contains information about a student named Vinay Aradhya enrolled in an MBA program. It includes responses to four questions on statistics.
Q1 defines characteristics of statistics such as dealing with numerical data collection and analysis, and being affected by multiple causes. Q2 explains that statistical averages summarize data, facilitate comparison, and provide a basis for decision making. It lists requisites of a good average.
Q3 lists characteristics of the Chi-square test as being based on frequencies, non-parametric, and useful for testing independence between attributes. Q4 defines a cost of living index and discusses methods for its construction, including the aggregate expenditure and family budget methods with an example of each.
Qnt 351 final exam mcq`s correct answers 100%liamSali
This document contains 30 multiple choice questions about statistics concepts such as descriptive statistics, levels of measurement, measures of central tendency, probability, probability distributions, hypothesis testing, and correlation. It also provides brief feedback asking the user to leave an "A" rating if the questions helped and wishing them good luck on their exam.
(New) final exam for qnt 351 all correct answers 100%quikly11
This document contains 30 multiple choice questions about statistics concepts such as descriptive statistics, levels of measurement, measures of central tendency, probability, probability distributions, hypothesis testing, and correlation. It indicates that the questions will be chosen randomly from a large set for a final exam and requests an "A" feedback rating if the questions helped with exam preparation.
(New) final exam for qnt 351 qnt 351 all correct answers 100%ri0908O0o
This document contains 30 multiple choice questions about statistics concepts such as descriptive statistics, levels of measurement, measures of central tendency, probability, probability distributions, hypothesis testing, and correlation. It also provides brief feedback asking the user to leave an "A" rating if the questions helped and wishing them good luck on their exam.
Qnt 351 final exam mcq`s correct answers 100%Austing_3
This document contains 30 multiple choice questions about statistics concepts such as descriptive statistics, levels of measurement, measures of central tendency, probability, probability distributions, hypothesis testing, and correlation. It also provides brief feedback asking the user to leave an "A" rating if the questions helped and wishing them good luck on their exam.
This document provides an introduction to statistics and data visualization. It discusses key topics including descriptive and inferential statistics, variables and types of data, sampling techniques, organizing and graphing data, measures of central tendency and variation, and random variables. Specifically, it defines statistics as collecting, organizing, summarizing, analyzing and making decisions from data. It also outlines the main differences between descriptive statistics, which describes data, and inferential statistics, which uses samples to make estimations about populations.
QNT 351 Final Exam Answers 2015 versionvincenzwhaley
QNT 351 Final Exam Answers
1) The main purpose of descriptive statistics is to
A. summarize data in a useful and informative manner
B. make inferences about a population
C. determine if the data adequately represents the population
D. gather or collect data
2) The general process of gathering, organizing, summarizing, analyzing, and interpreting data is called
A. statistics
B. descriptive statistics
C. inferential statistics
D. levels of measurement
3) The performance of personal and business investments is measured as a percentage, return on investment. What type of variable is return on investment?
A. Qualitative
B. Continuous
C. Attribute
D. Discrete
4) What type of variable is the number of robberies reported in your city?
A. Attribute
B. Continuous
C. Discrete
D. Qualitative
5) What level of measurement is the number of auto accidents reported in a given month?
A. Nominal
B. Ordinal
C. Interval
D. Ratio
6) The names of
QNT 351 Final Exam Answers 2015 versioncelestiaorias
QNT 351 Final Exam Answers
1) The main purpose of descriptive statistics is to
A. summarize data in a useful and informative manner
B. make inferences about a population
C. determine if the data adequately represents the population
D. gather or collect data
2) The general process of gathering, organizing, summarizing, analyzing, and interpreting data is called
A. statistics
B. descriptive statistics
C. inferential statistics
D. levels of measurement
3) The performance of personal and business investments is measured as a percentage, return on investment. What type of variable is return on investment?
A. Qualitative
B. Continuous
C. Attribute
D. Discrete
4) What type of variable is the number of robberies reported in your city?
A. Attribute
B. Continuous
C. Discrete
D. Qualitative
5) What level of measurement is the number of auto accidents reported in a given month?
A. Nominal
B. Ordinal
C. Interval
D. Ratio
6) The names of
QNT 351 Final Exam Answers 2015 versioncelestiaorias
QNT 351 Final Exam Answers
1) The main purpose of descriptive statistics is to
A. summarize data in a useful and informative manner
B. make inferences about a population
C. determine if the data adequately represents the population
D. gather or collect data
2) The general process of gathering, organizing, summarizing, analyzing, and interpreting data is called
A. statistics
B. descriptive statistics
C. inferential statistics
D. levels of measurement
3) The performance of personal and business investments is measured as a percentage, return on investment. What type of variable is return on investment?
A. Qualitative
B. Continuous
C. Attribute
D. Discrete
4) What type of variable is the number of robberies reported in your city?
A. Attribute
B. Continuous
C. Discrete
D. Qualitative
5) What level of measurement is the number of auto accidents reported in a given month?
A. Nominal
B. Ordinal
C. Interval
D. Ratio
6) The names of
QNT 351 Final Exam Answers 2015 versioncelestiaorias
QNT 351 Final Exam Answers
1) The main purpose of descriptive statistics is to
A. summarize data in a useful and informative manner
B. make inferences about a population
C. determine if the data adequately represents the population
D. gather or collect data
2) The general process of gathering, organizing, summarizing, analyzing, and interpreting data is called
A. statistics
B. descriptive statistics
C. inferential statistics
D. levels of measurement
3) The performance of personal and business investments is measured as a percentage, return on investment. What type of variable is return on investment?
A. Qualitative
B. Continuous
C. Attribute
D. Discrete
4) What type of variable is the number of robberies reported in your city?
A. Attribute
B. Continuous
C. Discrete
D. Qualitative
5) What level of measurement is the number of auto accidents reported in a given month?
A. Nominal
B. Ordinal
C. Interval
D. Ratio
6) The names of
QNT 351 Final Exam Answers 2015 versioncelestiaorias
QNT 351 Final Exam Answers
1) The main purpose of descriptive statistics is to
A. summarize data in a useful and informative manner
B. make inferences about a population
C. determine if the data adequately represents the population
D. gather or collect data
2) The general process of gathering, organizing, summarizing, analyzing, and interpreting data is called
A. statistics
B. descriptive statistics
C. inferential statistics
D. levels of measurement
3) The performance of personal and business investments is measured as a percentage, return on investment. What type of variable is return on investment?
A. Qualitative
B. Continuous
C. Attribute
D. Discrete
4) What type of variable is the number of robberies reported in your city?
A. Attribute
B. Continuous
C. Discrete
D. Qualitative
5) What level of measurement is the number of auto accidents reported in a given month?
A. Nominal
B. Ordinal
C. Interval
D. Ratio
6) The names of
QNT 351 Final Exam Answers 2015 versionmahallbethena
QNT 351 Final Exam Answers
1) The main purpose of descriptive statistics is to
A. summarize data in a useful and informative manner
B. make inferences about a population
C. determine if the data adequately represents the population
D. gather or collect data
2) The general process of gathering, organizing, summarizing, analyzing, and interpreting data is called
A. statistics
B. descriptive statistics
C. inferential statistics
D. levels of measurement
3) The performance of personal and business investments is measured as a percentage, return on investment. What type of variable is return on investment?
A. Qualitative
B. Continuous
C. Attribute
D. Discrete
4) What type of variable is the number of robberies reported in your city?
A. Attribute
B. Continuous
C. Discrete
D. Qualitative
5) What level of measurement is the number of auto accidents reported in a given month?
A. Nominal
B. Ordinal
C. Interval
D. Ratio
6) The names of
QNT 351 Final Exam Answers 2015 versioncelestiaorias
This document contains 30 multiple choice questions from the QNT 351 Final Exam along with the answers. The questions cover topics in descriptive statistics including levels of measurement, measures of central tendency, probability distributions, hypothesis testing, and correlation. This exam tests students' understanding of foundational quantitative analysis concepts and techniques.
The document provides an overview of topics to be covered in Chapter 16 on time series and forecasting, including using trend equations to forecast future periods and develop seasonally adjusted forecasts, determining and interpreting seasonal indexes, and deseasonalizing data using a seasonal index. It also includes examples of calculating seasonal indices and adjusting sales data to remove seasonal variation. The document is a lecture outline and review for a class on international business taught by Dr. Ning Ding at Hanze University of Applied Sciences Groningen.
Here are the steps to solve this problem:
1) Code the year as t = 1 for 1999, t = 2 for 2000, etc.
2) Calculate the sums: Σt = 15, ΣY = 211.9, Σt2 = 30, ΣtY = 332.5
3) b = (ΣtY - ΣtΣY/n) / (Σt2 - Σt2/n) = 6.55
4) a = Y - bX = 29.4 - 6.55(1) = 22.85
5) Ŷ = 22.85 + 6.55t
To estimate vending sales
This document provides an overview of simple linear regression and correlation. It discusses key concepts such as dependent and independent variables, scatter diagrams, regression analysis, the least-squares estimating equation, and the coefficients of determination and correlation. Scatter diagrams are used to determine the nature and strength of relationships between variables. Regression analysis finds relationships of association but not necessarily of cause and effect. The least-squares estimating equation models the dependent variable as a function of the independent variable.
Lesson 06 chapter 9 two samples test and Chapter 11 chi square testNing Ding
This document is a PowerPoint presentation about hypothesis testing for two samples and chi-square tests. It covers topics like independent and dependent sample tests, testing differences between proportions, one-tailed and two-tailed tests. Examples are provided to demonstrate how to perform two-sample t-tests, tests of proportions, and chi-square tests using contingency tables with 2 rows and 3 rows. Step-by-step instructions and formulas are given. Key chapters from the textbook are reviewed.
This document provides an outline and overview of topics covered in a course on inductive statistics, including probability distributions, sampling distributions, estimation, and hypothesis testing. Key topics discussed include interval estimation for means and proportions, using t-distributions when sample sizes are small and variances are unknown, and the basics of hypothesis testing such as null and alternative hypotheses. Examples are provided to illustrate concepts like confidence intervals for means, proportions, and hypothesis testing.
This document contains a PowerPoint presentation on inductive statistics covering topics like probability distributions, sampling distributions, estimation, hypothesis testing for means and proportions, and two-sample hypothesis tests. It provides an overview of the chapters that will be covered, examples of hypothesis tests for means and proportions when the population standard deviation is known and unknown, and examples of independent and dependent two-sample hypothesis tests for differences in means and proportions with both large and small sample sizes. Step-by-step explanations are given for conducting hypothesis tests.
The document summarizes key concepts from chapters 6 and 7 of a statistics textbook. Chapter 6 discusses sampling and calculating standard error for infinite and finite populations. Chapter 7 introduces estimation, including interval estimates and point estimates. It provides examples of calculating standard error and confidence intervals. The document also lists SPSS tips for t-tests.
This document provides an overview and summary of topics covered in a research methods course. It discusses reviewing concepts from prior lectures, including different types of research and variables. Today's lecture will cover instrumentation, validity and reliability, and threats to internal validity. Instrumentation discusses how to collect and measure data. Validity and reliability refer to the accuracy and consistency of measurements. Threats to internal validity could interfere with determining the true effect of independent variables on dependent variables.
This document provides an overview of content covered in Statistics 2, including a review of chapter 5 on sampling distributions. It includes examples of questions from quizzes on topics like the normal distribution and binomial approximation. The document also provides tips on using SPSS for descriptive statistics, such as inputting and defining variable data, and analyzing frequencies.
This document summarizes a course on research methods and techniques. It outlines the structure and requirements of the course, including reading a textbook and attending lectures. It discusses different types of research and variables. The document covers defining research problems, formulating hypotheses, research ethics, and instrumentation. Self-check exercises are provided to help students understand key concepts.
Andreas Schleicher presents PISA 2022 Volume III - Creative Thinking - 18 Jun...EduSkills OECD
Andreas Schleicher, Director of Education and Skills at the OECD presents at the launch of PISA 2022 Volume III - Creative Minds, Creative Schools on 18 June 2024.
This document provides an overview of wound healing, its functions, stages, mechanisms, factors affecting it, and complications.
A wound is a break in the integrity of the skin or tissues, which may be associated with disruption of the structure and function.
Healing is the body’s response to injury in an attempt to restore normal structure and functions.
Healing can occur in two ways: Regeneration and Repair
There are 4 phases of wound healing: hemostasis, inflammation, proliferation, and remodeling. This document also describes the mechanism of wound healing. Factors that affect healing include infection, uncontrolled diabetes, poor nutrition, age, anemia, the presence of foreign bodies, etc.
Complications of wound healing like infection, hyperpigmentation of scar, contractures, and keloid formation.
Elevate Your Nonprofit's Online Presence_ A Guide to Effective SEO Strategies...TechSoup
Whether you're new to SEO or looking to refine your existing strategies, this webinar will provide you with actionable insights and practical tips to elevate your nonprofit's online presence.
Gender and Mental Health - Counselling and Family Therapy Applications and In...PsychoTech Services
A proprietary approach developed by bringing together the best of learning theories from Psychology, design principles from the world of visualization, and pedagogical methods from over a decade of training experience, that enables you to: Learn better, faster!
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إضغ بين إيديكم من أقوى الملازم التي صممتها
ملزمة تشريح الجهاز الهيكلي (نظري 3)
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تتميز هذهِ الملزمة بعِدة مُميزات :
1- مُترجمة ترجمة تُناسب جميع المستويات
2- تحتوي على 78 رسم توضيحي لكل كلمة موجودة بالملزمة (لكل كلمة !!!!)
#فهم_ماكو_درخ
3- دقة الكتابة والصور عالية جداً جداً جداً
4- هُنالك بعض المعلومات تم توضيحها بشكل تفصيلي جداً (تُعتبر لدى الطالب أو الطالبة بإنها معلومات مُبهمة ومع ذلك تم توضيح هذهِ المعلومات المُبهمة بشكل تفصيلي جداً
5- الملزمة تشرح نفسها ب نفسها بس تكلك تعال اقراني
6- تحتوي الملزمة في اول سلايد على خارطة تتضمن جميع تفرُعات معلومات الجهاز الهيكلي المذكورة في هذهِ الملزمة
واخيراً هذهِ الملزمة حلالٌ عليكم وإتمنى منكم إن تدعولي بالخير والصحة والعافية فقط
كل التوفيق زملائي وزميلاتي ، زميلكم محمد الذهبي 💊💊
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A Visual Guide to 1 Samuel | A Tale of Two HeartsSteve Thomason
These slides walk through the story of 1 Samuel. Samuel is the last judge of Israel. The people reject God and want a king. Saul is anointed as the first king, but he is not a good king. David, the shepherd boy is anointed and Saul is envious of him. David shows honor while Saul continues to self destruct.
This presentation was provided by Rebecca Benner, Ph.D., of the American Society of Anesthesiologists, for the second session of NISO's 2024 Training Series "DEIA in the Scholarly Landscape." Session Two: 'Expanding Pathways to Publishing Careers,' was held June 13, 2024.
2. What we are going to learn? Review Chapter 3-A: Central Tendency A. Ungrouped Data a. Mean b. Mode c. Median B. Grouped Data a. Mean b. Mode c. Median
3. Review Review Chapter 3-A: Central Tendency A. Ungrouped Data a. Mean b. Mode c. Median B. GroupedData a. Mean b. Mode c. Median Ratio Nominal Ordinal Interval What is the level of measurement for these items related to the newspaper business? The number of papers sold each Sunday during 2006. The departments, such as editorial, advertising , sports, etc. A summary of the number of papers sold by county. The number of years with the paper for each employee. Ratio Nominal Ratio Ratio P14. N.2 Ch.1
4. Review Review Chapter 3-A: Central Tendency A. Ungrouped Data a. Mean b. Mode c. Median B. GroupedData a. Mean b. Mode c. Median Sample Population For the follow questions, would you collect information using a sample or a population? Statistics 201 is a course taught at a university. Professor A has taught nearly 1,500 students in the course over the past 5 years. You would like to know the average grade for the course You are looking forward to graduation project and your first job as a salesperson for one of five large corporations. Planning for your interviews, you will need to know about each company’s mission, profitability, products, and markets. Sample Population P16. N.8 Ch.1
5. Review-Qualitative Data Review Chapter 3-A: Central Tendency A. Ungrouped Data a. Mean b. Mode c. Median B. GroupedData a. Mean b. Mode c. Median Pie Chart Bar Chart
6. Review-Quantitative Data Review Chapter 3-A: Central Tendency A. Ungrouped Data a. Mean b. Mode c. Median B. GroupedData a. Mean b. Mode c. Median Cumulative Frequency Distribution Histogram Polygon
7. Review-Quantitative Data Review Chapter 3-A: Central Tendency A. Ungrouped Data a. Mean b. Mode c. Median B.GroupedData a. Mean b. Mode c. Median A Cumulative Frequency Distribution A (21, 30) Around 43% of the vehicleswereseldbelow $21,000.
8. Review Review Chapter 3-A: Central Tendency A. Ungrouped Data a. Mean b. Mode c. Median B. GroupedData a. Mean b. Mode c. Median A set of data contains53observations. The lowestvalue is 43 and the largest is 129. The data are to beorganizedinto a frequency distribution. a. Howmanyclasseswouldyousuggest? 130 - 43 6 i > ≈ 15 25 = 32, 26 = 64, suggests 6 classes b. Whatwouldyousuggest as class interval & the lower limit of the firstclass? Use interval of 15 And start first class at 40 P34. N.10 Ch.2
9. Central Tendency Review Chapter 3-A: Central Tendency A. Ungrouped Data a. Mean b. Mode c. Median B. GroupedData a. Mean b. Mode c. Median Parameter: a numerical characteristic of a population. Example:The fraction of U. S. voters who support Sen. McCain for President is a parameter. Statistic: A statistic is a numerical characteristic of a sample. Example: If we select a simple random sample of n = 1067 voters from the population of all U. S. voters, the fraction of people in the sample who support Sen. McCain is a statistic.
10. Central Tendency Parameter & Statistics Review Chapter 3-A: Central Tendency A. Grouped Data a. Mean b. Mode c. Median B. Ungrouped Data a. Mean b. Mode c. Median
11. Central Tendency: Mean Sum of all the values in the population Population mean = Number of values in the population Review Chapter 3-A: Central Tendency A. Ungrouped Data a. Mean b. Mode c. Median B. GroupedData a. Mean b. Mode c. Median Example:
12. Central Tendency: Mean Sum of all the values in the sample Sample mean = Number of values in the sample Review Chapter 3-A: Central Tendency A. Ungrouped Data a. Mean b. Mode c. Median B. GroupedData a. Mean b. Mode c. Median
13. Central Tendency: Mean Review Chapter 3-A: Central Tendency A. Ungrouped Data a. Mean b. Mode c. Median B. GroupedData a. Mean b. Mode c. Median Example: A sample of five executives received the following bonus last year ($000): 14.0, 15.0, 17.0, 16.0, 15.0 $ 15,400 Every set of interval- or ratio-level data has a mean All the values are included in computing the mean The mean is unique.
14. Central Tendency: Mean Review Chapter 3-A: Central Tendency A. Ungrouped Data a. Mean b. Mode c. Median B. GroupedData a. Mean b. Mode c. Median Example: Consider the set of values: 3, 8, and 4. The mean is 5. 4. The sum of the deviations of each value from the mean is zero.
15. Central Tendency: WeightedMean Review Chapter 3-A: Central Tendency A. Ungrouped Data a. Mean b. Mode c. Median B. GroupedData a. Mean b. Mode c. Median Weighted Mean: a set of numbers X1, X2, ..., Xn, with corresponding weights w1, w2, ...,wn, is computed from the following formula:
16. Central Tendency: WeightedMean Review Chapter 3-A: Central Tendency A. Ungrouped Data a. Mean b. Mode c. Median B. GroupedData a. Mean b. Mode c. Median Weighted Mean: Example: During a one hour period on a hot Saturday afternoon, Julie served fifty lemon drinks. She sold five drinks for $0.50, fifteen for $0.75, fifteen for $0.90, and fifteen for $1.10. Compute the weighted mean of the price of the drinks.
17. Exercise Review Chapter 3-A: Central Tendency A. Ungrouped Data a. Mean b. Mode c. Median B. GroupedData a. Mean b. Mode c. Median The Bookstallsoldbooks via internet. Paperbacks are $1.00 each, and hardcover books are $3.50. Of the 50 bookssoldon last Tuesday, 40 were paperback and the rest were hardcover. What was the weightedmeanprice of a book? 40 paperback $1.00 10 hardcover $3.50 P62. N.14 Ch.3
18. Central Tendency: Mode Review Chapter 3-A: Central Tendency A. Ungrouped Data a. Mean b. Mode c. Median B. GroupedData a. Mean b. Mode c. Median Mode: There is one situation in which the mode is the only measure of central tendency that can be used – when we have categorical, or non-numeric data. In this situation, we cannot calculate a mean or a median. The mode is the most typical value of the categorical data. Example: Suppose I have collected data on religious affiliation of citizens of the U.S. The modal, or most Typical value, is Roman Catholic, since The Roman Catholic Church is the largest religious organization in the U.S.
19. Central Tendency: Mode Review Chapter 3-A: Central Tendency A. Ungrouped Data a. Mean b. Mode c. Median B. GroupedData a. Mean b. Mode c. Median Mode: The value of the observation that appears most frequently.
20. Central Tendency: Mode Review Chapter 3-A: Central Tendency A. Ungrouped Data a. Mean b. Mode c. Median B. GroupedData a. Mean b. Mode c. Median Mode: The value of the observation that appears most frequently. Example: The exam scores for ten students are: 81, 93, 84, 75, 68, 87, 81, 75, 81, 87. Because the score of 81 occurs the most often, it is the mode.
21. Central Tendency: Median Review Chapter 3-A: Central Tendency A. Ungrouped Data a. Mean b. Mode c. Median B. GroupedData a. Mean b. Mode c. Median Median: the midpoint of the values after they have been ordered from the smallest to the largest. Example: The ages for a sample of five college students are: 21, 25, 19, 20, 22 Arranging the data in ascending order gives: 19, 20, 21, 22, 25. Thus the median is21.
22. Central Tendency: Median Review Chapter 3-A: Central Tendency A. Ungrouped Data a. Mean b. Mode c. Median B. GroupedData a. Mean b. Mode c. Median For an even set of values, the median will be the arithmetic average of the two middle numbers. Example: The heights of four basketball players, in inches, are: 76, 73, 80, 75 Arranging the data in ascending order gives: 73, 75, 76, 80. Thus the median is 75.5
23. Central Tendency: Median Review Chapter 3-A: Central Tendency A. Ungrouped Data a. Mean b. Mode c. Median B. GroupedData a. Mean b. Mode c. Median Example: Finding the median 72 68 65 70 75 79 73 65 68 70 72 73 75 79 65 68 70 72 73 75 79 79 72.5 65 68 70 72 73 75 79 79,000 72.5 Median is notinfluencedby the extreme value.
24. Central Tendency: Review Chapter 3-A: Central Tendency A. Ungrouped Data a. Mean b. Mode c. Median B. GroupedData a. Mean b. Mode c. Median List below are the total automobile sales (in millions of dollars) for the last 14 years. What was the mediannumber of automobiles sold? What is the mode? 41 15 39 54 31 15 33 Mean= 32.57; Median=33; Mode=15 P65. N.22 Ch.3
25. Central Tendency: Review Chapter 3-A: Central Tendency A. Grouped Data a. Mean b. Mode c. Median B. Ungrouped Data a. Mean b. Mode c. Median Central Tendency Mean, Mode, Median P69. N.26 Ch.3
26. Central Tendency: Mean Review Chapter 3-A: Central Tendency A. Grouped Data a. Mean b. Mode c. Median B. Ungrouped Data a. Mean b. Mode c. Median
27. Central Tendency: Mean Review Chapter 3-A: Central Tendency A. Ungrouped Data a. Mean b. Mode c. Median B. GroupedData a. Mean b. Mode c. Median
28. Central Tendency: Mean Review Chapter 3-A: Central Tendency A. Ungrouped Data a. Mean b. Mode c. Median B. GroupedData a. Mean b. Mode c. Median Determine the mean of the followingfrequency distribution. X=380/30=12.67 P87. N.58 Ch.3
29. Central Tendency: Mode Review Chapter 3-A: Central Tendency A. Ungrouped Data a. Mean b. Mode c. Median B. GroupedData a. Mean b. Mode c. Median Example: Finding the mode forgrouped data Step 2: Step 1: Midpoint of the modal class is the mode Modal class with the highest frequency 19.5
30. Central Tendency: Median Review Chapter 3-A: Central Tendency A. Ungrouped Data a. Mean b. Mode c. Median B. GroupedData a. Mean b. Mode c. Median Example: Finding the medianforgrouped data CumulativeFrequency Distribution Step 1:
31. Central Tendency: Median Review Chapter 3-A: Central Tendency A. Ungrouped Data a. Mean b. Mode c. Median B. GroupedData a. Mean b. Mode c. Median Determine the position of the median and the medianclass Step 2:
32. Central Tendency: Median Review Chapter 3-A: Central Tendency A. Ungrouped Data a. Mean b. Mode c. Median B. GroupedData a. Mean b. Mode c. Median Draw twolines (value & position) Step 3: A Value: 100 Median 150 B Position: 201 300.5 388 Median – 100 150 - 100 300.5 – 201 388 - 201 300.5 – 201 388 - 201 = Median = * 50 + 100 = 126.60 (dollars)
33. Exercise Review Chapter 3-A: Central Tendency A. Ungrouped Data a. Mean b. Mode c. Median B. GroupedData a. Mean b. Mode c. Median SCCoast, an Internet provider in the Southeast, developed the following frequency distribution on the age of Internet users. Describe the central tendency: X = 2410 / 60 = 40.17 (years) Mode = 45 (years) Median = ? (years) P87 N.60 Ch.3
34. Exercise Value:40 50 Location: 28 48 Review Chapter 3-A: Central Tendency A. Ungrouped Data a. Mean b. Mode c. Median B. GroupedData a. Mean b. Mode c. Median Step 1: Define the location of the median Step 2: Calculate the median M Lm=(60+1)/2=30.5 30.5-28 48-28 M-40 50-40 30.5 = Median= 41.25 years P87 N.60 Ch.3
35.
36. Chapter 3-A: Central Tendency A. Ungrouped Data a. Mean b. Mode c. Median B. Grouped Data a. Mean b. Mode c. Median
37. Chapter 3: Describing Data 8. The Relative Positions of the Mean, Median, and Mode skewed
38. Chapter 3: Describing Data 8. The Relative Positions of the Mean, Median, and Mode Zero skewness mode=median=mean
39. Chapter 3: Describing Data 7. The Relative Positions of the Mean, Median, and Mode positive skewness Mode median mean < <
40. Chapter 3: Describing Data 8. The Relative Positions of the Mean, Median, and Mode negative skewness Mode median mean > >
42. Chapter 3: Describing Data 9. The GeometricMean Geometric mean (GM) : a set of n numbers is defined as the nth root of the product of the n numbers. The formula is: The geometric mean is used to average percents, indexes, and relatives. The geometric mean is not applicable when some numbers are negative.
43. Chapter 3: Describing Data 9. The GeometricMean Example: Suppose you receive a 5 percent increase in salary this year and a 15 percent increase next year. The average annual percent increase is 9.886, not 10.0. Why is this so? We begin by calculating the geometric mean. Not understand percentage? Click here
44. Chapter 3: Describing Data 9. The GeometricMean Example: The return on investment earned by Atkins construction Company for four successive years was: 30 percent, 20 percent, -40 percent, and 200 percent. What is the geometric mean rate of return on investment?
45. Chapter 3: Describing Data 9. The GeometricMean Geometric mean (GM) : Another use of the geometric mean is to determine the percent increase in sales, production or other business or economic series from one time period to another.
46. Chapter 3: Describing Data 9. The GeometricMean Example: The total number of females enrolled in American colleges increased from 755,000 in 1992 to 835,000 in 2000. That is, the geometric mean rate of increase is1.27%.
47. Chapter 3: Describing Data 9. The GeometricMean Example: A banker wants to get an annual return of 100% on its loan in credit card business. What monthly interest rate should he charge? A monthly interest rate of 5.9%.
48. Chapter 3: Describing Data 9. The GeometricMean Example: The Chinese government claimed in 1990 that their GDP will double in 20 years. What must the annual GDP growth rate be for this dream to come true? A annual GDP growth of 3.5%.
49. Chapter 3: Describing Data 9. The GeometricMean Example: The 2006 population size of Duval County was 837,964. The population grew by 7.6% between 2000 and 2006. We want to project the size of the population in 2030, assuming that the growth rate remains the same; i.e., 7.6% every 6 years. The Projected population size in 2030 is (1.0764 X 837,964) = 1123245. The average growth rate over the 24 years is found by calculating the geometric mean: The average growth rate is just what we expect.
50. Exercise Chapter 3: Describing Data In 1976 the nationwide average price of a gallon of unleaded gasoline at a self-serve pump was $0.605. By 2005 the average price had increased to $2.57. What was the geometric mean annual increase for the period? 5.11% found by -1 2.57 0.605 29 P71. N.32 Ch.3
51. Chapter 2: Describing Data Review Qualitative Data Two thousand frequent mIdwestern business travelers are asked which Midwest city they prefer: Indianapolis, Saint Louis, Chicago, or Milwaukee. The results were 100 liked Indianapolisbest, 450 liked Saint Louis, 1,300 liked Chicago, and the remainder preferred Milwaukee. Develop a frequency table and a relative frequency table to summarize this information. P27. N.4 Ch.2
52. Chapter 2: Describing Data Review 99 - 51 5 The daily number of oil changes at the Oak Streek outlet in the past 20 days are: The data are to be organzied into a frequency distribution. a. How many classes would you recommend? i > ≈ 10 24 = 16, 25 = 32, suggests 5 classes b. What class interval would you suggest? Use interval of 10 P34. N.12 Ch.2
53. Chapter 2: Describing Data Review The daily number of oil changes at the Oak Streek outlet in the past 20 days are: The data are to be organzied into a frequency distribution. c. What lower limit would you recommend for the first class? start first class at 50 P34. N.12 Ch.2
54. Chapter 2: Describing Data Review The daily number of oil changes at the Oak Streek outlet in the past 20 days are: d. Organize the number of oil changes into a frequency distribution. P34. N.12 Ch.2
55. Chapter 2: Describing Data Review The daily number of oil changes at the Oak Streek outlet in the past 20 days are: e. Comment on the shape of the frequency distribution. Also determine the relative frequency distribution. The fewest number is about 50, the highest about 100. The greatest concentration is in classes 60 up to 70 and 70 up to 80. P34. N.12 Ch.2
57. Chapter 3: Describing Data Exercise a. Compute the mean of the following population values: 7, 5, 7, 3, 7, 4 μ = 5.5 found by (7+5+7+3+7+4)/6 P60. N.2 Ch.3
58. Chapter 3: Describing Data Exercise Compute the mean of the following sample values: 1.3 7.0 3.6 4.1 5.0 b. Show that Σ(X - X)=0 X = 4.2 found by 21/5 (1.3-4.2)+(7.0-4.2)+(3.6-4.2)+(4.1-4.2)+(5.0-4.2)=0 P60. N.4 Ch.3
59. More Information Source: Keller, Statistics for Management and Economics, 2005
60. More Information Percentage We added memory to our computer system. We had 96 MB of main memory and now with our new addition, we have 256 MB of main memory. I would like to figure out what percent increase this represents. If you go from 100 MB of memory to 200 MB then you've increased it by 100 percent, because the amount of the increase (100 MB) is 100% of the original amount (100 MB). That is... if you double your memory then you've increased it by 100 percent. If you add another 100 MB, you're adding another 100% of the original amount, so you have a 200% increase, from 100 MB to 300 MB. In this case, you have gone from about 100 to about 250. Since 250 is halfway between 200 MB and 300 MB, you could guess that the answer is about 150 percent. Does this make sense? Now let's find the actual value. I'm going to do a simple example first so you see how percentages work. If I go from 100 MB to 105 MB, what is the percent increase? In this case, the numbers are straightforward: the increase (5 MB) is 5 percent of the original amount (100 MB). But we can use a method that will work even when the numbers aren't this tidy: I ask: 100 times what number will give me 105? 100 * x = 105 x = 105 / 100 x = 1.05 Then I ask: What increase is that over 100%? x - 1 = 1.05 - 1 = 0.05 = 5/100 = 5% So I have an increase of 5%. Now let's do the same thing with your numbers: 1) 96 * x = 256 x = 256 / 96 x = 2.67 2) x - 1 = 2.67 - 1 = 1.67 = 167/100 = 167% which is pretty close to the original estimate of 150%. That gives us some confidence that we have the right answer.