statisticsandprobability core

📖 Prior Knowledge

ContentPrior knowledgeUsed for
Data Classification and Visualisation- interpreting graphs- finding 5-number summary from graphs
Data Analysis- summary statistics- standard deviation and IQR as measures of spread
- 5-number summary

Examine standard deviation as a measure of spread.pdf

  • Identify standard deviation as a measure of spread
  • Calculate the standard deviation of a small dataset using digital tools
  • Compare small datasets using standard deviation

Determine quartiles and interquartile range.pdf

  • Determine the 5-number summary for sets of numerical data
  • Determine the 5-number summary from graphical representations
  • Determine the interquartile range (IQR) for datasets
  • Compare and explain the relative merits of range and IQR as measures of spread

Represent datasets using box plots and use them to compare datasets.pdf

  • Represent numerical datasets using a box plot to display the median, upper and lower quartiles, and maximum and minimum values
  • Compare 2 or more numerical datasets using parallel box plots drawn on the same scale
  • Compare and contrast the centres, spreads and shapes of 2 or more numerical datasets, using box plots and numerical statistics, including the 5-number summary
  • Determine quartiles from datasets displayed in histograms and dot plots, and represent these as a box plot
  • Identify and describe skewness or symmetry of datasets displayed in histograms, dot plots and box plots
  • Interpret box plots to draw conclusions and make inferences about the dataset