Statistics skills
Year 2
Skills
Year 3
Skills
- Level 1: Understand tabular data
- Level 2: Understand tabular dataPremium
- Level 3: Understand tabular dataPremium
- Tally charts
- Level 1: Picture graphs
- Level 2: Picture graphs
- Bar charts
- Dot plots
- Line plots
Year 4
Skills
- Level 1: Understand tabular data
- Level 2: Understand tabular data
- Tally charts
- Level 1: Picture graphs
- Level 2: Picture graphs
- Bar charts
- Dot plots
- Line plots
Year 5
Skills
- Level 1: Understand tabular data
- Level 2: Understand tabular data
- Tally chartsPremium
- Picture graphs
- Level 1: Dot charts
- Level 2: Dot charts
- Data summaryPremium
- Box plotsPremium
Year 6
Skills
- Understanding bar charts
- Compare two bar charts
- Understanding dot charts
- Understanding pie charts
- Mean, median, maximum, minimum and range of data
- Understanding box plots
Year 7
Skills
- Understanding bar charts
- Compare two bar charts
- Understanding dot charts
- Understanding histograms
- Understanding pie charts
- Mean, median, maximum, minimum and range of data
Year 8
Skills
- Classify data collection methods
- Understanding bar charts
- Compare two bar charts
- Understanding dot charts
- Histograms
- Understanding pie charts
- Mean, median, maximum, minimum and range of data
Year 9
Skills
- Understanding frequency tables
- Understanding bar charts
- Understanding stem-and-leaf plots
- Stem-and-leaf plots of decimal dataPremium
- The range of a data set
- Quartiles
- Interquartile range
- Summary and spread of data
- Level 1: Understanding box plots
- Level 2: Understanding box plotsPremium
- Understanding histograms
- Skewness of the stem-and-leaf plotPremium
- Skewness of histogramsPremium
- Interpreting measures of spreadPremium
Year 10
Skills
- Understanding frequency tables
- Understanding bar charts
- Understanding stem-and-leaf plots
- Stem-and-leaf plots of decimal dataPremium
- Skewness of the stem-and-leaf plotPremium
- Understanding histograms
- Summary and spread of data
- Understanding pie charts
- Standard deviation of a small data set
- Comparing standard deviations
- Effect of a shift or scale on the mean and standard deviationPremium
- Level 1: Understanding box plots
- Level 2: Understanding box plotsPremium
- Understanding scatter plots
- CorrelationPremium
- Line of best fitPremium
- Interpolation and extrapolationPremium
- Components of a time seriesPremium
- Moving averages and trendPremium
Year 11
Skills
- Classify categorical variables - ordinal or nominal
- Classify numerical variables - discrete or continuous
- Understanding frequency tables
- Understanding bar charts
- Understanding stem-and-leaf plots
- Understanding histograms
- Summary and spread of data
- Box plot outlier fences
- Understanding scatter plots
- Population and simple random samples
- Mean and variance of the sample mean
- Distribution of the sample mean from a normal population
- Central Limit Theorem for sample means
- Unbiased estimates from sample summaries
- Hypothesis testing concepts and terminology
- Formulating hypotheses and choosing tails
- One-tailed z-tests for a population mean
- Two-tailed z-tests for a population mean
- Interpreting hypothesis test conclusions
Year 12
Skills
- Understanding frequency tables
- Understanding stem-and-leaf plots
- Understanding histograms
- Summary and spread of data
- Understanding box plots
- Understanding scatter plots
- Association and causation
- Least-squares regression lines
- Coefficient of determination
- Residuals, interpolation and extrapolation
- Time series plots and patterns
- Moving averages and smoothing
- Seasonal indices and time series models
- The concept of a random sample
- Sources of bias and ensuring randomness
- Sample proportion - mean and standard deviation
- Approximate normality of the sample proportion
- Simulated sampling distribution of the sample proportion
- Confidence interval and margin of error for a proportion
- Coverage of repeated confidence intervals
- Hypothesis testing concepts and terminology
- Formulating hypotheses and choosing tails
- One-tailed z-tests for a population mean
- Two-tailed z-tests for a population mean
- Interpreting hypothesis test conclusions