Representation and Summary of Data
Representation and Summary of Data — Edexcel International A-Level Mathematics (Unit 8 / Statistics 1 (S1)). Covers: Diagrams for Data (stem-and-leaf, histograms with unequal class widths, cumulative frequency, box plots; outliers via 1.5 × IQR; skewness from diagrams); Measures of Location and Spread (mean, median, mode, range, IQR, variance, standard deviation for raw and grouped data).
Diagrams for DataSign up
be able to construct and interpret stem-and-leaf diagrams and histograms (including histograms with unequal class widths, using frequency density = frequency / class width) · be able to construct and interpret cumulative-frequency diagrams and box plots, identify outliers using the 1.5 × IQR rule, and comment on skewness from a diagram
Measures of Location and SpreadSign up
be able to calculate the mean, median, mode, range, and interquartile range (IQR) for raw and grouped data, and choose an appropriate measure of location and spread · be able to calculate the variance and standard deviation of raw and grouped data using Σ(x − x̄)²/n = Σx²/n − x̄²; understand coding (linear transformation) and its effect on mean and standard deviation