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Subject: Statistics I

Unit 1: Statistical Foundations

Week 1 syllabus map

  1. L1.1: Basic Definitions
  2. AQ1.1: Activity Questions 1
  3. L1.2: Introduction and Types of Data - Understanding Data
  4. AQ1.2: Activity Questions 2
  5. L1.3: Introduction and Types of Data - Classification of Data
  6. AQ1.3: Activity Questions 3
  7. L1.4: Introduction and Types of Data - Scales of Measurement

How to use this week

  • Read one lecture page at a time and solve the paired activity page immediately.
  • Maintain a small trap sheet for confusing pairs:
    • population vs sample
    • parameter vs statistic
    • categorical vs numerical
    • ordinal vs interval
    • cross-sectional vs time-series
  • When a question gives an example, classify it step by step:
    1. What are the cases?
    2. What is the variable?
    3. Is it categorical or numerical?
    4. If numerical, is it discrete or continuous?
    5. If asked, what is the scale of measurement?

Week 1 exam traps

  • A descriptive study can still use a sample.
  • Codes like 1, 2, 3 are not automatically numerical if they represent labels.
  • 0 as a number is not the same as “no data”.
  • Ordered categories do not automatically have equal gaps.
  • Celsius and Fahrenheit are interval scales, not ratio scales.
  • Ratio scale requires a meaningful true zero.

Final revision checklist

  • define statistics, data, population, sample, variable, case
  • distinguish descriptive from inferential statistics
  • classify variables correctly from examples
  • identify discrete vs continuous values
  • identify nominal, ordinal, interval, and ratio scales
  • explain why units and consistent recording matter