- 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.
approx. 15 hrs
8 topics
41 concepts
Enhance your statistical skills covering Univariate and Bivariate Data and achieve success in your exams.
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.
This learning program is made up of the following 8 topics, broken down into 41 concepts.
Recognise variables as categorical or numerical (discrete or continuous)
Classification of categorical data as either nominal or ordinal
Identify the target population - census or sample
Construct a frequency histogram and polygon for ungrouped data
Use a tally to organise data into a frequency distribution table
Display data in double (back-to-back) stem-and-leaf plots
Describe the shape of a distribution including skewness and modes
Construct frequency histogram and polygon for grouped data
Construct Frequency Distribution Tables: Grouped Data
Compare two displays of data using measures of centre and range
Calculating summary statistics from a stem-and-leaf plot
Construct Cumulative Frequency Histogram and Ogive
Finding the Median From a Frequency Distribution Table
Estimate the median From a cumulative frequency graph
Finding the Mean From a Frequency Distribution Table
Finding the Mode From a Frequency Distribution Table
Compare shapes of box plots to corresponding histograms and dot plots
Compare parallel box plots with reference to the five-number summary
Communicate meaning of quartiles and interquartiles
Display data in two box-and-whisker plots drawn on the same scale
Calculate Interquartile Range
Establish a five-number summary for a data set
Construct a box plot using the five-number summary
Analyse and describe the standard deviation of data sets
Compare relative merits of the measures of spread
Calculate standard deviation step-by-step using the formula
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
Identify outliers and describe the impact on the measures of centre and spread
Graph bivariate data analysis where the independent variable is time
Identify independent and dependent variables in bivariate data analysis
Construct scatterplots
Interpret scatterplots including direction, form and strength
Interpolation and Extrapolation
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
Evaluate statistical reports in the media, misleading data
Describe how statistics shapes decisions made by governments and organisations
Identify and analyse misleading graphs
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