Statistics

**S1** infer properties of populations or distributions from a sample, while knowing the limitations of sampling **S2** interpret and construct tables, charts and diagrams, including frequency tables, bar charts, pie charts and pictograms for categorical data, vertical line charts for ungrouped discrete numerical data, tables and line graphs for time series data and know their appropriate use **S3** construct and interpret diagrams for grouped discrete data and continuous data, i.e. histograms with equal and unequal class intervals and cumulative frequency graphs, and know their appropriate use **S4** interpret, analyse and compare the distributions of data sets from univariate empirical distributions through: ● appropriate graphical representation involving discrete, continuous and grouped data, including box plots ● appropriate measures of central tendency (median, mean, mode and modal class) and spread (range, including consideration of outliers, quartiles and inter-quartile range) **S5** apply statistics to describe a population **S6** use and interpret scatter graphs of bivariate data; recognise correlation and know that it does not indicate causation; draw estimated lines of best fit; make predictions; interpolate and extrapolate apparent trends while knowing the dangers of so doing ==== Sampling and Bias ==== ==== Sampling Methods ==== ==== Collecting Data ==== ==== Mean, Median, Mode and Range ==== ==== Averages and Spread ==== ==== Frequency Tables — Finding Averages ==== ==== Grouped Frequency Tables ==== ==== Cumulative Frequency ==== ==== Histograms and Frequency Density ==== ==== Other Graphs and Charts ==== ==== Scatter Graphs ==== ==== Probability Basics ==== ==== Listing Outcomes and Expected Frequency ==== ==== The AND / OR Rules ==== ==== Tree Diagrams ==== ==== Relative Frequency ==== ==== Revision Questions for Section Six ====