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E-TRADE TOGETHER GLOBAL ACADEMY

Statistics

Level 3 · Probability, Statistics & Data · Prerequisite: Course 3.1

ACADEMICALLY APPROVED · DESKTOP RUNTIME VERIFIED · MOBILE QA ENVIRONMENT BLOCKED

9 canonical classes · 4 laboratories · 4 module assessments · problem sets · project · final

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MODULE 1

Data, Sampling & Descriptive Statistics

Describe data honestly and connect a sample to its target population through a defensible design.

3.2.1

Descriptive statistics

Learning objectives

  • Identify population, sample, parameter, and statistic
  • compute center and spread
  • choose a resistant summary
  • interpret a distribution's shape.

Worked examples

Worked example 1

Data 2,4,4,6: x̄=4; squared deviations 4+0+0+4=8; s²=8/3 and s≈1.633. Median=4.

Worked example 2

Data 2,4,4,20: x̄=7.5 while median=4; the outlier shifts the mean, so median better represents a typical value.

Guided practice

  • For 1,3,5 find x̄=3 and median=3.
  • For 1,2,3,4,100 choose median/IQR and explain resistance.

Independent practice

  • Compute range of 3,7,8,12 (=9).
  • Compute x̄ of 4,5,6,9 (=6).
  • Explain why s uses n−1 in the sample-variance estimator.
  • Label a city-wide mean as parameter and a surveyed mean as statistic.

Knowledge check and mastery evidence

M1 population≠sample; M2 parameter≠statistic; M3 variance≠SD; M4 compute the first example. Answers: full group versus observed subset; fixed population quantity versus sample function; square-root/unit difference; x̄=4,s²=8/3. Criterion: 4/4 with M1–M3 mandatory.

Related laboratory

Data Exploration.

Next lesson

sampling.