- Mathematics General
- Year 12
Data and Statistics
approx. 25 hrs
7 topics
59 concepts
Develop strong mathematical skills in Data and Statistics to approach your examinations with confidence.
approx. 25 hrs
7 topics
59 concepts
Develop strong mathematical skills in Data and Statistics to approach your examinations with confidence.
Data and Statistics is a learning program that covers the outcomes from the Statistics and Probability components of Year 12 General Mathematics, as defined in the NSW Senior Mathematics syllabus. In this program, we help students understand statistical processes and inquiry in society, acquire skills in statistical techniques to display and interpret small and large data sets, and apply reasoning when evaluating and constructing arguments when interpreting models based on statistical concepts.
This learning program is made up of the following 7 topics, broken down into 59 concepts.
use calculated z-scores to compare scores from different data sets
using the z-score to calculate proportion of scores distributed one, two or three standard deviations away from the mean
apply counting techniques to list all possible samples of varying sizes from a known small population
verify that the mean of the distribution of all possible sample means is equal to the population mean for populations
use the capture/recapture technique for estimating the size of populations
recognise the effect of sample size in estimating the nature of a population
Estimate the median of a data set from a cumulative frequency polygon for grouped data
Estimate the upper and lower quartiles of a data set from a cumulative frequency polygon for grouped data
Determine the five-number summary from a stem-and-leaf plot
compare summary statistics, including mean, mode, median, and population standard deviation, for two sets of data
Establish a five-number summary for a data set
Calculate the range of ungrouped data sets
Calculate Interquartile Range
Construct a box plot using the five-number summary
Identify outliers and describe the impact on the measures of centre and spread
Finding the Mode From a Frequency Distribution Table
Finding the Mean From a Frequency Distribution Table
Estimate the median From a cumulative frequency graph
select and use the appropriate statistic (mean, median or mode) to describe features of a data set
Compare summary statistics from a variety of contexts including measures of centre and measures of spread
Finding the Standard Deviation on a Calculator
Finding the Mean on a Calculator
determine the percentages of data between any two quartiles on a box-and-whisker plot
display two sets of data on a radar chart
prepare an area chart to illustrate and compare different sets of data over time
Use two-way tables to calculate probabilities
display data in two box-and-whisker plots drawn on the same scale
Describe the shape of a distribution including skewness and modes
display data in double (back-to-back) stem-and-leaf plots
Divide large sets of data into quartiles
Divide large sets of data into percentiles
Analyse a variety of data displays
Identify and analyse misleading graphs
Identify and explain which graph types are suitable for the type of data being considered
Construct frequency tables for grouped data from cumulative frequency graphs
Construct frequency histogram and polygon for grouped data
Construct Frequency Distribution Tables: Grouped Data
Construct a radar chart
Interpret a radar chart
Read deciles from graphs
Read quartiles from graphs
Read percentiles from graphs
Divide large sets of data into deciles
Find the least-squares line of best fit equation given a value for r (correlation coefficient)
Construct the least-squares line of best fit
Use a least-squares line of best fit to make predictions of data sets
Identify causality
Classify the correlation coefficient from a scatterplot or given a value for r
Use a line of best fit to make predictions of data sets
Find the equation of a line of best fit
Draw a line of best fit on a scatterplot
Construct scatterplots
Interpret scatterplots including direction, form and strength
Creating and evaluating questions as part of the statistical inquiry
Identify and select different sampling techniques - simple random, systematic and stratified
Calculate proportions from a stratified sample
Calculate how to obtain a systematic sample
Describe the process of a statistical investigation
Identify the target population - census or sample
Learning Content
An Expert Tutor
Reporting
Simply pick a time that works for you
Add your payment details securely online
We'll book in your first session and match you to an expert tutor
Starting at
per session
Fully flexible
PAYG and bundle plans
Use anytime
Access to practice questions