• 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.

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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.

Topics & Concepts We Cover

This learning program is made up of the following 7 topics, broken down into 59 concepts.

  • Normal Distribution 2 concepts

    1. use calculated z-scores to compare scores from different data sets

    2. using the z-score to calculate proportion of scores distributed one, two or three standard deviations away from the mean

  • Sampling and Population 4 concepts

    1. apply counting techniques to list all possible samples of varying sizes from a known small population

    2. verify that the mean of the distribution of all possible sample means is equal to the population mean for populations

    3. use the capture/recapture technique for estimating the size of populations

    4. recognise the effect of sample size in estimating the nature of a population

  • Summary Statistics 16 concepts

    1. Estimate the median of a data set from a cumulative frequency polygon for grouped data

    2. Estimate the upper and lower quartiles of a data set from a cumulative frequency polygon for grouped data

    3. Determine the five-number summary from a stem-and-leaf plot

    4. compare summary statistics, including mean, mode, median, and population standard deviation, for two sets of data

    5. Establish a five-number summary for a data set

    6. Calculate the range of ungrouped data sets

    7. Calculate Interquartile Range

    8. Construct a box plot using the five-number summary

    9. Identify outliers and describe the impact on the measures of centre and spread

    10. Finding the Mode From a Frequency Distribution Table

    11. Finding the Mean From a Frequency Distribution Table

    12. Estimate the median From a cumulative frequency graph

    13. select and use the appropriate statistic (mean, median or mode) to describe features of a data set

    14. Compare summary statistics from a variety of contexts including measures of centre and measures of spread

    15. Finding the Standard Deviation on a Calculator

    16. Finding the Mean on a Calculator

  • Interpreting multiple sets of data 7 concepts

    1. determine the percentages of data between any two quartiles on a box-and-whisker plot

    2. display two sets of data on a radar chart

    3. prepare an area chart to illustrate and compare different sets of data over time

    4. Use two-way tables to calculate probabilities

    5. display data in two box-and-whisker plots drawn on the same scale

    6. Describe the shape of a distribution including skewness and modes

    7. display data in double (back-to-back) stem-and-leaf plots

  • Displaying and Interpreting single data sets 14 concepts

    1. Divide large sets of data into quartiles

    2. Divide large sets of data into percentiles

    3. Analyse a variety of data displays

    4. Identify and analyse misleading graphs

    5. Identify and explain which graph types are suitable for the type of data being considered

    6. Construct frequency tables for grouped data from cumulative frequency graphs

    7. Construct frequency histogram and polygon for grouped data

    8. Construct Frequency Distribution Tables: Grouped Data

    9. Construct a radar chart

    10. Interpret a radar chart

    11. Read deciles from graphs

    12. Read quartiles from graphs

    13. Read percentiles from graphs

    14. Divide large sets of data into deciles

  • Bivariate Data 10 concepts

    1. Find the least-squares line of best fit equation given a value for r (correlation coefficient)

    2. Construct the least-squares line of best fit

    3. Use a least-squares line of best fit to make predictions of data sets

    4. Identify causality

    5. Classify the correlation coefficient from a scatterplot or given a value for r

    6. Use a line of best fit to make predictions of data sets

    7. Find the equation of a line of best fit

    8. Draw a line of best fit on a scatterplot

    9. Construct scatterplots

    10. Interpret scatterplots including direction, form and strength

  • Data Collection and Sampling 6 concepts

    1. Creating and evaluating questions as part of the statistical inquiry

    2. Identify and select different sampling techniques - simple random, systematic and stratified

    3. Calculate proportions from a stratified sample

    4. Calculate how to obtain a systematic sample

    5. Describe the process of a statistical investigation

    6. Identify the target population - census or sample

What you'll get

Learning Content

  • A customised learning plan to suit your needs, adapting to your pace as you learn, progress and achieve mastery
  • All the content required to help you master the syllabus, including theory, worked examples, exam preparation and practice questions

An Expert Tutor

  • We match you to a private, expert tutor who is right for your needs and goals
  • Our tutors are talented, tested, top ATAR achievers and subject experts
  • During each session, your tutor guides you through your learning program, providing real-time, live expert tutoring in Data and Statistics


  • Access information at every stage showing what's been mastered, what areas need to be worked on and what's next
  • You and your parents receive a comprehensive feedback report after every session
  • Every session is recorded and available for you to watch at any time, allowing you to review what was covered

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Starting at

$49(inc. GST)

per session

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