Unit 5 - Statistics and Probability

Unit Objectives
Prior Knowledge:

Calculate probabilities of single and double events.
Construct and use tree diagrams and Venn diagrams
Know formulae for probability with equally likely outcomes and for the complement of an event.

By the end of this unit students should be able to:

Understand concepts of population, sample, random sample and frequency distribution of discrete and continuous data.
Calculate and interpret mean, variance and standard deviation
Use grouped data, mid-interval values, interval width, upper and lower interval boundaries.
Construct and interpret statistical diagrams, including: Histogram, Cumulative Frequency graph, box plot.
Understand concepts of trial, outcome, equally likely outcomes, sample space and event
Use of tree and Venn diagrams, counting principles and tables to solve problems of probability
Solve problems of combined events
Understand the concepts of mutually exclusivity and independence and solve problems involving them
Solve problems of conditional probability
Use Bayes Theorem