• Mathematics Advanced
  • Year 10

Univariate and Bivariate Data

approx. 15 hrs

8 topics

41 concepts

Enhance your statistical skills covering Univariate and Bivariate Data and achieve success in your exams.

Available in
ACT NSW NT QLD SA TAS VIC WA

Overview

Year 10 Univariate and Bivariate Data program is aligned with the Statistics and Data strand of the Australian curriculum.  In Year 10 Univariate and Bivariate Data, students are required to demonstrate a range of statistical skills to measure, display, interpret and evaluate data sets in their raw state. In addition, they learn to communicate and provide reasoning when conducting analysis of given data within a practical context.

Topics & Concepts We Cover

This learning program is made up of the following 8 topics, broken down into 41 concepts.

  • Line of Best Fit 4 concepts

    1. Interpolation and Extrapolation

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

    3. Find the equation of a line of best fit

    4. Draw a line of best fit on a scatterplot

  • Evaluate Statistical Reports 3 concepts

    1. Evaluate statistical reports in the media, misleading data

    2. Describe how statistics shapes decisions made by governments and organisations

    3. Identify and analyse misleading graphs

  • Standard Deviation 7 concepts

    1. Calculate standard deviation step-by-step using the formula

    2. Analyse and describe the standard deviation of data sets

    3. Compare relative merits of the measures of spread

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

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

    6. Finding the Standard Deviation on a Calculator

    7. Finding the Mean on a Calculator

  • Bivariate Data Analysis using Scatter Plots 4 concepts

    1. Identify independent and dependent variables in bivariate data analysis

    2. Graph bivariate data analysis where the independent variable is time

    3. Construct scatterplots

    4. Interpret scatterplots including direction, form and strength

  • Histograms and Stem-and-Leaf Plots 6 concepts

    1. Use a tally to organise data into a frequency distribution table

    2. Construct a frequency histogram and polygon for ungrouped data

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

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

    5. Construct frequency histogram and polygon for grouped data

    6. Construct Frequency Distribution Tables: Grouped Data

  • Measures of Centre and Range 7 concepts

    1. Calculating summary statistics from a stem-and-leaf plot

    2. Compare two displays of data using measures of centre and range

    3. Construct Cumulative Frequency Histogram and Ogive

    4. Finding the Median From a Frequency Distribution Table

    5. Finding the Mode From a Frequency Distribution Table

    6. Finding the Mean From a Frequency Distribution Table

    7. Estimate the median From a cumulative frequency graph

  • Five-number Summary and Box Plots 7 concepts

    1. Compare shapes of box plots to corresponding histograms and dot plots

    2. Communicate meaning of quartiles and interquartiles

    3. Compare parallel box plots with reference to the five-number summary

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

    5. Calculate Interquartile Range

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

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

  • Categorising Statistical Data 3 concepts

    1. Classification of categorical data as either nominal or ordinal

    2. Recognise variables as categorical or numerical (discrete or continuous)

    3. 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 Univariate and Bivariate Data

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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