202021 As Statistics Jyothi

This class meets 3 times a week and will cover Statistics 1 and then some of Statistics 2.

The textbooks are Probability and Statistics 1 by Dean Chalmers and Probability and Statistics 2 by Jayne Kranat; both published by the Cambridge University Press

June

Representation of data

(Chapter 1, one week)

  • Introduce working with data and discuss why representation matters
  • Work on some real data and solve some problems to see why the benefits of various representations

Measures of Central tendency

(Chapter 2, one week)

  • Why do we need a single measure of location, when are they helpful
  • Mean, median, mode
  • Idea of an expectation and introduce sigma notation

Measures of variation

(Chapter 3, two weeks)

  • Why do we need measures of location, when are they helpful
  • variance and standard deviation
  • Problems involving grouped data

July

Probability

(Chapter 4, two weeks)

  • Mutually exclusive vs independent events
  • Conditional probabilities
  • Solve problems

Probability distributions

(Chapter 6, two weeks)

  • The idea of a random variable
  • Using permutation and combination
  • Expectation and variance of a discrete RV

August

Binomial and geometric distributions

(Chapter 7, three weeks)

  • What is a binomial distribution and where is it useful?
  • Expectation and variance of a binomial distribution
  • Problems
  • What is a geometric distribution and where is it useful?
  • Expectation and variance of a geometric distribution
  • Problems

September

The normal distribution (Chapter 8, three weeks)

  • Introduction to the normal distribution
  • Problems
  • Standard normal
  • Relationship between Normal and Binomial distributions

(Stat 1 portion ends here)

Hypothesis testing

(Stat. 2, Chapter 1, two weeks)

  • Introduction
  • One and two tailed tests
  • Types of errors

October

Sampling

(Stat 2, Chap 5, 1 week)

  • Introduction
  • Distribution of sample means

Estimation

(Stat 2, Chapter 6, 3 weeks)

November

Some computer based projects

December

Review and problem solving

January

Timed tests, exam papers, mock exams

February

Final Exams

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