Basic Concepts in Statistics
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Questions and Answers

Which type of data results from a process of counting and takes on whole, distinct values?

  • Interval data
  • Continuous data
  • Discrete data (correct)
  • Ratio data

Continuous data, such as age and height, are never given discrete values.

False (B)

A measurement scale is a scheme for numerical representation of the values of the ________.

variables

A variable with categories that can be ranked or ordered, but the differences between categories are not equal is measured on a(n) ________ scale.

<p>ordinal</p> Signup and view all the answers

Which of the following scales has a true zero point, indicating the absence of the characteristic under consideration?

<p>Ratio (A)</p> Signup and view all the answers

Which type of variable consists of two or more categories with no intrinsic ordering?

<p>Categorical Variable (D)</p> Signup and view all the answers

Match the following variables with their appropriate measurement scale:

<p>Temperature in Celsius = Interval Customer Satisfaction Rating (e.g., Very Unsatisfied, Unsatisfied, Neutral, Satisfied, Very Satisfied) = Ordinal Department Names (e.g., Marketing, Sales, IT) = Nominal Time spent on a task in seconds = Ratio</p> Signup and view all the answers

Provide an example of discrete data.

<p>Number of students in a class</p> Signup and view all the answers

Which scale of measurement includes categories with order, but no uniform difference between them?

<p>Ordinal (C)</p> Signup and view all the answers

Interval scales have a true zero point.

<p>False (B)</p> Signup and view all the answers

What type of variable cannot be directly measured and is inferred from the data?

<p>Latent variable</p> Signup and view all the answers

A variable that can be directly measured using only one equation is a ______ variable.

<p>manifest</p> Signup and view all the answers

Which of the following is an example of a manifest variable?

<p>Advertising Budget (A)</p> Signup and view all the answers

Match each variable type with its description:

<p>Exogenous Variable = Causes fluctuation in other variables Endogenous Variable = Influenced by other variables in the model Latent Variable = Cannot be directly measured Manifest Variable = Can be directly measured</p> Signup and view all the answers

Which variable is similar to a dependent variable?

<p>Endogenous Variable (A)</p> Signup and view all the answers

Name one example of a ratio scale measurement.

<p>Attendance</p> Signup and view all the answers

Which type of data is most suitable for analyzing trends in stock prices over the last decade?

<p>Time series data (B)</p> Signup and view all the answers

Cross-sectional data is primarily used to analyze changes in a variable over a period of time.

<p>False (B)</p> Signup and view all the answers

A company wants to understand the current market share of different brands of smartphones. Which type of data should they collect?

<p>Cross-sectional data</p> Signup and view all the answers

To forecast sales for the next quarter based on the past three years of sales data, a retail company should use ______ data.

<p>time series</p> Signup and view all the answers

Match the following data types with their primary purpose:

<p>Time Series Data = Analyzing trends over time Cross-Sectional Data = Comparing different entities at one point in time</p> Signup and view all the answers

A researcher aims to study the relationship between income level and spending habits of individuals in a city during the current year. Which type of data is most appropriate for this study?

<p>Cross-sectional data (C)</p> Signup and view all the answers

Tracking the daily temperature of a city over a month would be considered cross-sectional data.

<p>False (B)</p> Signup and view all the answers

What is the most appropriate type of data to use when trying to analyze the impact of a new marketing campaign on sales?

<p>Time series data</p> Signup and view all the answers

Which of the following best describes 'ungrouped data'?

<p>Raw data without any specific order or arrangement. (A)</p> Signup and view all the answers

Grouped data is the initial form of data collected, which has not been sorted or categorized

<p>False (B)</p> Signup and view all the answers

In a frequency distribution table, the categories into which data is organized are called ______.

<p>class intervals</p> Signup and view all the answers

Based on the profile of respondents for gender, what can be concluded?

<p>There are more female students in the 1st year than the 4th year. (A)</p> Signup and view all the answers

In the Hudson Auto Repair example, why does the manager examine customer invoices?

<p>to better understand the cost of parts used in engine tune-ups</p> Signup and view all the answers

Based on the provided data, which range of parts costs has the highest frequency?

<p>$70 to $79 (A)</p> Signup and view all the answers

The provided data represents the parts cost for 100 tune-ups.

<p>False (B)</p> Signup and view all the answers

What percentage of tune-ups had parts costs between $60 and $69?

<p>26%</p> Signup and view all the answers

The parts cost range of $100 to $109 accounts for ____% of the total tune-ups.

<p>10</p> Signup and view all the answers

If Hudson Auto aims to reduce parts costs, which cost range should they focus on first based on frequency?

<p>$70 to $79 (C)</p> Signup and view all the answers

What is the combined percentage of tune-ups with parts costs in the $80-$89 and $90-$99 ranges?

<p>28% (A)</p> Signup and view all the answers

More than half of the tune-ups had parts costs between $50 and $69.

<p>False (B)</p> Signup and view all the answers

Which of the following statements can be directly inferred from the tabular summary of Hudson Auto Repair's tune-up parts costs?

<p>Most tune-ups had parts costs near $70. (A)</p> Signup and view all the answers

Which of the following best describes the relationship between advertising spending and sales revenue, as described in the content?

<p>Advertising spending is an exogenous variable affecting sales revenue. (C)</p> Signup and view all the answers

According to the content, intent to leave is an exogenous variable that influences job-skill mismatch.

<p>False (B)</p> Signup and view all the answers

In the context of research variables, what is another term used for an 'endogenous' variable?

<p>dependent</p> Signup and view all the answers

In research methodology, data collected directly by the researcher for a specific purpose is known as ______ data.

<p>primary</p> Signup and view all the answers

A company analyzing industry trends and market conditions using published market research reports is using what type of data?

<p>Secondary data (D)</p> Signup and view all the answers

Match the data collection scenario with the appropriate type of data required:

<p>Assessing customer satisfaction with a product = Primary Data Analyzing market size and growth trends = Secondary Data Experimenting with different marketing strategies = Primary Data</p> Signup and view all the answers

Which of the following characteristics is typically associated with primary data collection methods?

<p>Highly specific to the business's needs (D)</p> Signup and view all the answers

What is a key difference between primary and secondary data in terms of time and cost?

<p>Primary data collection is generally more time-consuming and expensive than obtaining secondary data. (C)</p> Signup and view all the answers

Flashcards

Ungrouped Data

Raw data without any specific order or arrangement.

Grouped Data

Organized set of data that is arranged and tabulated.

Frequency Distribution

Representation of data showing the number of occurrences in specified intervals.

Class Interval

A range of values in frequency distribution used to group data.

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Raw Data

Data that has not been processed or analyzed.

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Nominal Variable

Categories without order, such as gender or school type.

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Ordinal Variable

Categories with order but no uniform difference, like class rankings or ratings.

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Interval Variable

Equal intervals between values, no true zero; examples include test scores and temperatures.

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Ratio Variable

Equal intervals with a true zero, like attendance or study time.

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Manifest Variable

A variable that can be directly measured using one question or several indicators.

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Latent Variable

Variables that cannot be measured directly but are inferred from data.

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Exogenous Variable

Variables that influence other variables, similar to independent variables.

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Endogenous Variable

Dependent variables influenced by exogenous variables, either directly or indirectly.

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Independent Variables

Variables that are manipulated to observe their effect on dependent variables.

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Dependent Variables

Variables that are measured to see if they are affected by independent variables.

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Primary Data

Data collected directly for a specific purpose by the researcher or business.

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Secondary Data

Data that has been previously collected and published by others for a different purpose.

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Customer Satisfaction Surveys

Surveys conducted to gather direct feedback from customers about their experiences with a product or service.

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Industry Reports

Published analyses of market conditions and trends to help businesses strategize without gathering new data.

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Discrete Data

Data resulting from counting that takes distinct whole values.

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Continuous Data

Data that can take any value within a range; typically measurements.

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Nominal Scale

Categorical variable with no intrinsic ordering among categories.

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Ordinal Scale

Categorical variable with a clear ranking but unequal intervals.

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Interval Scale

Numerical scale with arbitrary zero; differences can be measured.

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Ratio Scale

Numerical scale with a true zero point; ratios make sense.

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Categorical Variable

Variable measured in different categories without numerical comparison.

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Quantitative Variable

Variable measured numerically and can represent measurements.

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Cross-Sectional Data

Data collected at the same or approximately the same point in time.

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Time Series Data

Data collected over several time periods.

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Example of Cross-Sectional Data

Data about different countries at the same time (e.g., GDP, Fitch ratings).

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Example of Time Series Data

Average price of gasoline recorded over several years.

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Purpose of Time Series Data

Analyze trends, patterns and make forecasts based on historical data.

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Purpose of Cross-Sectional Data

Compare different entities or characteristics at one point in time.

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Data Source for Time Series

Includes sales data, stock prices, production levels collected periodically.

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Data Source for Cross-Sectional

Includes survey data, financial reports analyzed at one time.

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Parts Cost Data

The costs associated with parts for 50 tune-ups at Hudson Auto Repair.

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Percent Frequency

The percentage of the total that a specific frequency represents.

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Cost Range 50-59

The range of parts costs that includes values from $50 to $59.

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Cost Range 60-69

The range of parts costs that includes values from $60 to $69.

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Cost Range 70-79

The range of parts costs that includes values from $70 to $79.

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Bar Chart

A graphical representation of data where different costs are shown with bars.

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Total Frequency

The sum of all frequencies in the distribution, which equals 50 in this case.

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Study Notes

Course Information

  • Course Title: Business Statistics (COM 508)
  • Term: Second Term, AY 2024-2025
  • Instructor: Prof. Belinda V. de Castro, Ph.D.
  • Department: UST College of Commerce and Business Administration
  • Research Center: Research Center for Social Sciences and Education
  • Email: [email protected]

Basic Concepts in Statistics

  • The process of collecting, organizing, describing, analyzing, and interpreting data is called statistics.
  • Statistics uses mathematics, probability, and statistical inference to draw conclusions from the data.

Steps in Statistical Inquiry

  • Problem identification and hypothesis formulation
  • Research design formulation
  • Data collection
  • Data processing and analysis
  • Results interpretation and drawing conclusions
  • Data coding

Data and Data Sets

  • Data are facts and figures used for presentation and interpretation.
  • A data set contains all the data collected during a study.

Elements, Variables, and Observations

  • Elements are entities on which data are collected.
  • A variable is a characteristic of interest for elements
  • An observation is a set of measurements taken from a particular element
  • A data set with n elements contains n observations.

Types of Data According to Nature

  • Quantitative data: Measured in numbers (e.g., height, weight).
  • Qualitative data: Categorical labels (e.g., sex, color).

Types of Variables

  • Categorical/Qualitative Variable: Represents categories or characteristics.
    • Discrete: Numerical values arising from counting (e.g., number of children).
    • Continuous: Numerical responses from a measuring process (e.g., time, distance).
  • Numerical/Quantitative Variable: Represents quantities.
    • Discrete: Numerical values arising from counting (e.g., number of products sold).
    • Continuous: Numerical responses from a measuring process (e.g., daily revenue).

Types of Data According to Measurement

  • Continuous data: Takes on any value within a continuum.
    • Examples: passing rate, percentage of retention, time, distance, speed
  • Discrete data: Results from a process of counting, takes on whole, distinct values
    • Examples: number of children, amount of tuition (rounded to nearest peso), number of students in the class

Measurement Scales

  • Nominal: Categories without order (e.g., gender, school type).
  • Ordinal: Categories with order but no uniform difference (e.g., class rankings, letter grades / ratings).
  • Interval: Equal intervals but no true zero (e.g., temperature, IQ scores).
  • Ratio: Equal intervals with a true zero (e.g., weight, age, total revenue earned).

Primary Considerations in Selecting Appropriate Statistical Techniques

  • Choose a scheme for numerical representation of variables' values

Variable Typologies

  • Manifest variable: Directly measurable (e.g., age, GPA).
  • Latent variable: Not directly measurable, inferred from data (e.g., job satisfaction, statistics anxiety).

Other Classifications of Variables

  • Exogenous variable: Similar to Independent variable, causes fluctuation in other variables.
  • Endogenous variable: Similar to Dependent variable, influenced by exogenous variables.

Data Classification According to Source

  • Primary data: Collected directly for a specific purpose (e.g., surveys, interviews, observations).
  • Secondary data: Collected and processed previously (e.g., reports, government publications).

Data Acquisition Considerations

  • Time requirement: Data may no longer be useful when collected.
  • Cost of acquisition: Related costs to acquiring data
  • Data errors: Misleading information

Descriptive Statistics

  • Summaries of data (tabular, graphical, numerical).
  • Helps understand past events and patterns.
  • Summarize findings and present data simply.

Data Classification According to Arrangement

  • Ungrouped Data: Raw data without specific order or arrangement.
  • Grouped Data: Organized set of data, typically sorted.

Cross-Sectional Data

  • Collected at the same or approximately same point in time
  • Data detailing different variables (status, per capita GDP, Fitch rating for different WTO nations)
  • Snapshot of current situation.

Time Series Data

  • Collected over several time periods
  • Useful for identifying trends, patterns, projecting future values.

Analytical Techniques

  • Descriptive Analysis: Describes past events and trends using existing data.
  • Predictive Analysis: Forecasts future trends and outcomes based on past data to predict, identify variables that cause impact.
  • Prescriptive Analysis: Identifies the best course of action based on past data.

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Chapter 1 Basic Concepts PDF

Description

Explore the fundamentals of statistics, including collecting, organizing, and analyzing data. Learn about the steps in statistical inquiry, from problem identification to results interpretation. Understand data sets, elements, variables, and observations in statistical studies.

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