Statistics: Sampling Methods and Measures of Central Tendency
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Statistics: Sampling Methods and Measures of Central Tendency

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Questions and Answers

Which measure of central tendency is most affected by extreme values?

  • Mode
  • Range
  • Median
  • Mean (correct)
  • How is the median determined when the dataset has an even number of values?

  • Select the lowest value
  • Use the mode to find the central value
  • Sum the values and divide by two
  • Take the average of the two middle values (correct)
  • Which of the following measures of central tendency can be used with nominal data?

  • Median
  • Mean
  • Mode (correct)
  • Geometric Mean
  • When comparing datasets, which measure would be least effective in skewed distributions?

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

    Which statement accurately describes the mode?

    <p>It identifies the most frequently occurring value</p> Signup and view all the answers

    What is true about the median compared to the mean?

    <p>The median is less affected by outliers</p> Signup and view all the answers

    Which of the following measures can summarize data from both interval and ratio types?

    <p>Mean and Median</p> Signup and view all the answers

    If a dataset is bimodal, what does this indicate?

    <p>There are two values that are equally frequent</p> Signup and view all the answers

    Which function involves analyzing collected data to produce meaningful statistics?

    <p>Statistical Analysis</p> Signup and view all the answers

    How often is the Census of Population and Housing (CPH) conducted?

    <p>Every ten years</p> Signup and view all the answers

    What is the primary goal of Statistical Advocacy as a function of the PSA?

    <p>To promote the importance of statistics</p> Signup and view all the answers

    Which survey is conducted every three years to collect data on income and expenditure patterns of households?

    <p>Family Income and Expenditure Survey (FIES)</p> Signup and view all the answers

    What does the PSA primarily coordinate among various government agencies?

    <p>Statistical frameworks and policies</p> Signup and view all the answers

    Which of the following is NOT a key survey or census conducted by the PSA?

    <p>Economic Activity Survey</p> Signup and view all the answers

    Why is the data collected by the PSA important for policy-making?

    <p>It informs government policies and programs</p> Signup and view all the answers

    What purpose does statistical dissemination serve?

    <p>Publishing statistical reports and materials</p> Signup and view all the answers

    What does a low P-value typically indicate regarding the null hypothesis?

    <p>Strong evidence against the null hypothesis</p> Signup and view all the answers

    What is the significance level (α) commonly set at in research?

    <p>0.05</p> Signup and view all the answers

    Which process follows after calculating the test statistic in hypothesis testing?

    <p>Finding the P-value and comparing it with α</p> Signup and view all the answers

    What type of error is made when the null hypothesis is rejected even though it is true?

    <p>Type I error</p> Signup and view all the answers

    Which of the following best defines a Type II error?

    <p>Failing to reject the null hypothesis when it is false</p> Signup and view all the answers

    If the P-value is greater than the significance level, what conclusion should be drawn?

    <p>Do not reject the null hypothesis</p> Signup and view all the answers

    Which of the following results would indicate that a test is statistically significant?

    <p>P-value &lt; 0.05</p> Signup and view all the answers

    What is the main purpose of setting a significance level in hypothesis testing?

    <p>To limit the chance of Type I errors</p> Signup and view all the answers

    What is the primary purpose of the Census of Population conducted by the PSA?

    <p>To provide comprehensive demographic data for planning</p> Signup and view all the answers

    How often is the Census of Population conducted in the Philippines?

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

    Which of the following technological advancements has the PSA adopted to improve data collection?

    <p>Utilization of mobile applications</p> Signup and view all the answers

    What are the key data points collected in the Census of Population?

    <p>Total population count, geographic distribution, and marital status</p> Signup and view all the answers

    What is one of the primary challenges faced by the PSA?

    <p>Ensuring data privacy and addressing data gaps</p> Signup and view all the answers

    What role does the PSA play in the development and well-being of the Filipino people?

    <p>Provides vital data that informs government policies</p> Signup and view all the answers

    Which of the following is NOT a type of survey conducted by the PSA?

    <p>National Health Survey</p> Signup and view all the answers

    What is one goal the PSA aims to achieve with its technological advancements?

    <p>To improve the efficiency and accessibility of data</p> Signup and view all the answers

    What is the primary purpose of the Labor Force Survey (LFS)?

    <p>To capture comprehensive data on the labor market.</p> Signup and view all the answers

    How often is the Family Income and Expenditure Survey (FIES) conducted?

    <p>Every three years</p> Signup and view all the answers

    Which of the following data is NOT collected in the Labor Force Survey?

    <p>Household savings levels</p> Signup and view all the answers

    What type of information does the FIES help to estimate?

    <p>Poverty levels</p> Signup and view all the answers

    Which demographic characteristic is collected in the Labor Force Survey?

    <p>Educational attainment</p> Signup and view all the answers

    What is one key reason for the importance of the FIES in policy-making?

    <p>It informs economic planning and social programs.</p> Signup and view all the answers

    What does the Philippine Statistics Authority (PSA) contribute to governance and development?

    <p>It provides reliable data for evidence-based decision-making.</p> Signup and view all the answers

    Which of the following is a key data point collected by the FIES?

    <p>Sources of household income</p> Signup and view all the answers

    Study Notes

    Sampling Methods

    • Each sampling method has strengths and weaknesses.
    • The choice of method depends on the objectives of the research, population characteristics, available resources, and desired level of precision.
    • It's crucial to carefully consider these factors to ensure valid and reliable data.

    Measures of Central Tendency

    • Measures of central tendency are statistical metrics summarizing a dataset by identifying the center point or typical value.
    • They provide a way to represent data with a single value, useful for comparing datasets or understanding distribution.

    Mean

    • The mean is the average of all values in a dataset.
    • It's calculated by summing all values and dividing by the total number of values.
    • Sensitive to outliers.
    • Used for interval and ratio data.

    Median

    • The median is the middle value of a dataset arranged in ascending order.
    • If an even number of values exist, the median is the average of the two middle values.
    • Less sensitive to outliers compared to the mean.
    • Used for ordinal, interval, and ratio data.

    Mode

    • The mode is the value appearing most frequently in a dataset.
    • A dataset may have one mode, multiple modes, or no mode at all.
    • Can be used with nominal data (categorical data).
    • Useful for understanding the most common item in a dataset.

    P-values

    • The P-value is the probability of observing the sample data or something more extreme, assuming the null hypothesis is true.
    • A low P-value (typically ≤ α) indicates strong evidence against the null hypothesis, leading to its rejection.
    • A high P-value suggests insufficient evidence to reject the null hypothesis.

    Significance Levels

    • The significance level (α) is a predetermined threshold set by the researcher.
    • It defines the likelihood of rejecting the null hypothesis when it is actually true (Type I error).
    • Common significance levels:
      • α = 0.05 (5% chance of a Type I error)
      • α = 0.01 (1% chance of a Type I error)

    Types of Errors: Type I and Type II

    • Understanding these errors is crucial for interpreting hypothesis test results and making informed decisions.

    Type I Error (False Positive)

    • Occurs when the null hypothesis is rejected when it is actually true.
    • Concludes there is an effect or difference when there is none.
    • The probability of making a Type I error is denoted by α (significance level).

    Type II Error (False Negative)

    • Occurs when the null hypothesis is not rejected when it is actually false.
    • Fails to detect a true effect or difference.

    Philippine Statistics Authority (PSA)

    • The PSA has a broad mandate encompassing various functions:
      • Data Collection
      • Statistical Analysis
      • Statistical Dissemination
      • Coordination
      • Statistical Advocacy

    Key Surveys and Censuses

    • The PSA conducts several major surveys and censuses:
      • Census of Population and Housing (CPH)
      • Labor Force Survey (LFS)
      • Family Income and Expenditure Survey (FIES)
      • Annual Survey of Philippine Business and Industry (ASPBI)

    Census of Population

    • Gathers comprehensive demographic data.
    • Conducted every 10 years.
    • Key data collected: total population count, age and sex distribution, geographic distribution, marital status, household composition, educational attainment.

    Labor Force Survey (LFS)

    • Provides a comprehensive picture of the Philippine labor market.
    • Conducted quarterly.
    • Key data collected: employment status (employed, unemployed, underemployed), industry and occupation of employed individuals, demographic characteristics of the labor force, reasons for unemployment.

    Family Income and Expenditure Survey (FIES)

    • Gathers data on income and expenditures of Filipino households.
    • Used for estimating poverty levels and understanding economic behavior of families.
    • Conducted every three years.
    • Key data collected: sources and amounts of household income, household expenditures, savings and debt levels.

    Importance of Statistics in Policy-Making and Development Planning

    • The PSA provides reliable statistical data essential for informed decision-making.
    • It supports national development goals such as the Sustainable Development Goals (SDGs).
    • It fosters public awareness and understanding of key socio-economic issues and trends in the country.

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    Description

    This quiz explores various sampling methods and measures of central tendency, including mean and median. Understand the strengths and weaknesses of each sampling method, as well as how to calculate and interpret mean and median values in a dataset. Test your knowledge on key statistical concepts essential for data analysis.

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