Questions and Answers
What is statistics?
Statistics is the science of conducting studies to collect, organize, summarize, analyze, and draw conclusions from data.
Why are statistics important in our everyday lives?
To analyze the results of surveys to understand the terms and concepts.
A ____________ is a characteristic or attribute of a subject that can assume different values.
variable
What are variables with values that are determined by chance called?
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What is each value in a data set referred to as?
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If a weather center monitors tornadoes, what type of variable are they investigating?
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Inferential statistics is based on probability.
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How is a sample described in relation to a population?
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A ____________ consists of all subjects that are being studied.
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__________ is a decision-making process for evaluating claims about a population based on information obtained from samples.
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Which branch of statistics employs probability to predict driving distance?
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In which type of statistics would you study twenty-five cars until mechanical failure?
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Based on her electric bills, Miss Smith's expectation of $75 a month is an example of descriptive statistics.
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A ____________ variable assumes values that can be counted.
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Quantitative data can be further classified as continuous or nonsequential.
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What level of measurement is applied for surveying average American shoe sizes?
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What level of measurement classifies data into mutually exclusive categories?
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What level of measurement allows for ranking and has a true zero?
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Classifying fruits as apple, orange, or banana is an example of the ____________ level of measurement.
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Rating a restaurant with stars is an example of ordinal level of measurement.
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The ____________ level of measurement classifies data into categories that can be ranked.
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Determining the number of voters from Alaska for a Republican is an example of ____________ measurement.
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A person's hair color is an example of a quantitative variable.
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The variable of height is an example of a quantitative variable.
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The number of birds in a tree is an example of a continuous variable.
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What type of variable does the time needed to run a marathon represent?
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Which of the following describes quantitative data: The mass of a chemical sample?
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Determine which of the following describes quantitative data. (Select all that apply)
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Determine which of the following describes qualitative data. (Select all that apply)
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Determine which of the following describes nominal data. (Select all that apply)
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Which one of the following data are discrete? (Select all that apply)
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Which one of the following data are continuous? (Select all that apply)
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The four basic methods used to obtain samples are random, irregular, cluster, and stratified sampling.
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In a research study, it is always preferable for the researcher to carefully choose participants rather than randomly select them.
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____________ sampling is used when the population is large and spans a large geographic area.
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What type of sampling is used when samples are chosen from each economic class?
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Questioning every 14th customer leaving a theater is an example of systematic sampling.
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What sample type should you always regard as unreliable?
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What kind of sampling is used when a pollster samples different political affiliations?
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What type of sample is used when a student surveys adults at a function?
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By visiting homes door to door, what type of sample is being used?
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What type of sample is used when testing every 1000th cell phone?
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The professor selects random slips from a jar of students; what kind of sample is used?
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An independent variable can also be called?
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A dependent variable can also be referred to as an outcome variable.
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The group that is manipulated in an experimental study can be called the treatment group.
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If a researcher manipulates one variable to see its influence on others, what type of study are they conducting?
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Describe the relationship between confounding, dependent, and independent variables.
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In a true experimental study, what must be done with subjects?
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What is one advantage of an observational study?
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In an experimental study, what variable is studied to see if it leads to changes?
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How do you best describe a randomized experiment?
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If there are large differences in outcomes among treatment groups, what can be concluded?
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What is a double-blind experiment?
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What involves randomly assigning treatments after categorizing subjects by sex?
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What makes it difficult to determine if an experimental outcome is due to treatment?
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What is an example of changing the subject in data reporting?
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What is an example of detached statistics?
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What is an example of suspect samples?
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In a car advertisement, what is an example of detached statistics?
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Study Notes
Statistics Overview
- Statistics is the science of collecting, organizing, summarizing, analyzing, and drawing conclusions from data.
- Understanding statistics is essential for interpreting survey results and avoiding misrepresentation.
Variables
- A variable is a characteristic or attribute that can assume different values.
- Random variables have values determined by chance, while discrete variables are counted values.
Types of Statistics
- Inferential statistics involves making predictions or conclusions based on sample data and probability.
- Descriptive statistics summarize and describe characteristics of a data set.
Samples and Populations
- A sample is a subset of subjects selected from a larger group (population).
- Population includes all subjects being studied.
Measurement Levels
- Ratio level of measurement allows ranking, precise differences, and includes a true zero.
- Interval measurement classifies data with meaningful differences but no true zero.
- Ordinal measurement ranks data without precise differences between ranks.
- Nominal measurement classifies data into categories without ranking.
Data Classification
- Quantitative data can be continuous or discrete; qualitative data includes categories that do not represent numbers.
- Height is a quantitative variable, while hair color is qualitative.
Sampling Methods
- Common sampling methods include random, stratified, and cluster sampling.
- Systematic sampling selects subjects at regular intervals from a larger group.
- Convenience samples are considered unreliable due to a biased selection process.
Experimental Studies
- In experimental studies, an independent variable is manipulated to observe effects on a dependent variable.
- Control for confounding variables is crucial, as they may influence results without being explicitly separated from independent variables.
- Randomization helps ensure treatment groups are comparable.
Confounding Variables and Study Design
- A confounding variable affects the dependent variable but is intertwined with the independent variable.
- Quasi-experimental studies utilize intact groups when random assignment is not feasible.
Experiment Types
- Randomized experiments randomly assign treatments to experimental units to draw valid conclusions about treatment effects.
- Double-blind experiments keep investigators and subjects unaware of treatment assignments to reduce bias.
Data Misuse
- Statistical data can be misrepresented through suspect samples, detached statistics, or misleading conclusions.
- Detached statistics are data presented without context, which can mislead interpretation.
Conclusion
- A strong understanding of statistics aids critical thinking, enhances interpretation of data, and supports informed decision-making.
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Description
This quiz delves into the fundamentals of statistics, covering key definitions and concepts. Gain insights into how statistics play a crucial role in analyzing data and making informed decisions in everyday life.