- Mathematics
- Year 9
Probability and Statistics
approx. 13 hrs
6 topics
33 concepts
Learn the fundamentals of Probability and Statistics, a key part of the Year 9 syllabus.
approx. 13 hrs
6 topics
33 concepts
Learn the fundamentals of Probability and Statistics, a key part of the Year 9 syllabus.
Probability and Statistics in Year 9 is an important component of the Statistics and Probability strand for the NSW Mathematics K-10 syllabus. In this program, students are taught the concepts of theoretical probability and experimental probability, and how to represent the data gathered in Venn diagrams, tree diagrams, and two way tables. Other concepts that are covered include constructing and interpreting stem and leaf plots, frequency distribution tables and histograms, as well as calculating and comparing five number summaries for box and whisker plots.
This learning program is made up of the following 6 topics, broken down into 33 concepts.
Using tree diagrams for two-step experiments with replacement
Using arrays for two-step experiments with replacement
Using tree diagrams for two-step experiments without replacement
Using arrays for two-step experiments without replacement
Calculate probabilities of simple and compound events in two-step chance experiments, with and without replacement
Construct Venn diagrams
Compare Venn diagrams with two-way tables
Construct two-way tables
Use Venn diagrams to calculate probabilities
Use two-way tables to calculate probabilities
Calculate the expected frequency of an event
Calculate relative frequency from an experiment
Describe the mean, median and mode as 'measures of location' or 'measures of centre', and the range as a 'measure of spread'
Identify any clusters, gaps and outliers in sets of data
Construct stem-and-leaf plots
Calculate the mean of ungrouped data sets
Identify the mode of ungrouped data sets
Calculate the median of ungrouped data sets
Calculate the range of ungrouped data sets
Compare data displayed on a back-to-back stem-and-leaf plot
Construct stem-and-leaf plots
Interpret stem-and-leaf plots
Display data in double (back-to-back) stem-and-leaf plots
Analyse frequency histograms
Construct a frequency histogram and polygon for ungrouped data
Describe the shape of a distribution including skewness and modes
Construct frequency histogram and polygon for grouped data
Construct Frequency Distribution Tables: Grouped Data
Compare parallel box plots with reference to the five-number summary
Communicate meaning of quartiles and interquartiles
Calculate Interquartile Range
Establish a five-number summary for a data set
Construct a box plot using the five-number summary
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