• 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.

Available in
NSW

Overview

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.

  • Data Collection and Sampling 6 concepts

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

    2. Calculate proportions from a stratified sample

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

    4. Calculate how to obtain a systematic sample

    5. Identify the target population - census or sample

    6. Describe the process of a statistical investigation

  • Displaying and Interpreting single data sets 14 concepts

    1. Analyse a variety of data displays

    2. Divide large sets of data into quartiles

    3. Divide large sets of data into percentiles

    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 Distribution Tables: Grouped Data

    8. Construct frequency histogram and polygon for grouped data

    9. Read deciles from graphs

    10. Read percentiles from graphs

    11. Construct a radar chart

    12. Read quartiles from graphs

    13. Interpret a radar chart

    14. Divide large sets of data into deciles

  • Bivariate Data 10 concepts

    1. Construct the least-squares line of best fit

    2. Demonstrate understanding of correlation and causation

    3. Find the equation of the least-squares line of best fit

    4. Interpret the slope and intercept of a regression line

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

    6. Find the equation of a line of best fit

    7. Draw a line of best fit on a scatterplot

    8. Construct scatterplots

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

    10. Interpret scatterplots including direction, form and strength

  • Summary Statistics 16 concepts

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

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

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

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

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

    11. Estimate the median From a cumulative frequency graph

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

    13. Finding the Mean on a Calculator

    14. Finding the Standard Deviation on a Calculator

    15. Finding the Mode From a Frequency Distribution Table

    16. Finding the Mean From a Frequency Distribution Table

  • 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. Display data in double (back-to-back) stem-and-leaf plots

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

  • Normal Distribution 2 concepts

    1. Calculate the standardised value, called the z-score, of a normal distribution

    2. Use calculated z-scores to compare scores from different data sets

  • Sampling and Population 4 concepts

    1. Recognise the effect of sample size in estimating the nature of a 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. Apply counting techniques to list all possible samples of varying sizes from a known small population

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

Reporting

  • 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

Fully flexible

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Access to practice questions

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