• 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.

• #### Categorising Statistical Data 3 concepts

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

2. Classification of categorical data as either nominal or ordinal

3. Identify the target population - census or sample

• #### Histograms and Stem-and-Leaf Plots 6 concepts

1. Construct a frequency histogram and polygon for ungrouped data

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

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

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

5. Construct frequency histogram and polygon for grouped data

6. Construct Frequency Distribution Tables: Grouped Data

• #### Measures of Centre and Range 7 concepts

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

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

3. Construct Cumulative Frequency Histogram and Ogive

4. Finding the Median From a Frequency Distribution Table

5. Estimate the median From a cumulative frequency graph

6. Finding the Mean From a Frequency Distribution Table

7. Finding the Mode From a Frequency Distribution Table

• #### Five-number Summary and Box Plots 7 concepts

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

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

3. Communicate meaning of quartiles and interquartiles

4. Display data in two box-and-whisker plots drawn on the same scale

5. Calculate Interquartile Range

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

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

• #### Standard Deviation 7 concepts

1. Analyse and describe the standard deviation of data sets

2. Compare relative merits of the measures of spread

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

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

5. Finding the Standard Deviation on a Calculator

6. Finding the Mean on a Calculator

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

• #### Bivariate Data Analysis using Scatter Plots 4 concepts

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

2. Identify independent and dependent variables in bivariate data analysis

3. Construct scatterplots

4. Interpret scatterplots including direction, form and strength

• #### 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

### 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

### Ready to start this program?

Simply pick a time that works for you

We'll be in contact to match you with one of our top tutors and book your first session

Starting at

\$49(inc. GST)

per session

Fully flexible

PAYG and bundle plans

Use anytime