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Inferential Statistics — Syllabus

CBSE · Class 12 · Applied Mathematics

What Inferential Statistics covers in CBSE Class 12 Applied Mathematics: 4 topics, for the 2026-27 session. Topics include Population, Sample.

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4 Topics · CBSE Class 12 Applied Mathematics · 2026-27

Topics in Inferential Statistics

1

Population, Sample, and Sampling Methods

  • Population is the complete group of individuals or objects we want to study
  • Sample is a subset of the population used to make inferences about the entire population
  • Sample size (n) is always smaller than population size (N)
2

Parameters vs Statistics and Central Limit Theorem

  • Parameters describe populations (denoted by Greek letters)
  • Statistics describe samples (denoted by English letters)
  • Central Limit Theorem states that sampling distribution approaches normal distribution as sample size increases
3

Hypothesis Testing Framework

  • Null Hypothesis (H₀) assumes no difference or no effect
  • Alternative Hypothesis (H₁) states there is a difference or effect
  • H₀ uses equality signs (=, ≥, ≤)
4

One Sample t-Test

  • Used when comparing sample mean to known population mean
  • Requires normally distributed population with unknown variance
  • Test statistic follows t-distribution

Key Concepts

Population refers to the entire groupParameters are numerical values describing populationsA systematic method to test claimsStates that as sample size increasesMeasures how much sample means vary

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Frequently Asked Questions

What are the important topics in Inferential Statistics for CBSE Class 12 Applied Mathematics?
Key topics in Inferential Statistics include Population, Sample, and Sampling Methods, Parameters vs Statistics and Central Limit Theorem, Hypothesis Testing Framework, One Sample t-Test. Study these first, then practise questions on each for the CBSE Class 12 board exam.
How should I revise Inferential Statistics for the CBSE Class 12 board exam?
Learn the core ideas first, then work through the 48 practice questions on Inferential Statistics. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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All CBSE Class 12 Applied Mathematics Syllabus

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