Statistics — Organizing Data

About this lesson

This unit teaches students how to organize and represent statistical data. It begins by distinguishing between statistical and non-statistical questions, then covers collecting data through methods like observation and surveys. Students learn to create frequency tables, including tables with equal intervals for larger datasets, and to represent data using dot plots, bar graphs, histograms, stem-and-leaf plots, and box plots. The unit also explains how to find the mode, median, first quartile, and third quartile from a stem-and-leaf plot, and how to construct a box plot from these values. Finally, it warns about misleading graphs, specifically those where the vertical axis does not start at zero or uses an unequal scale. Examples and exercises use real-world contexts such as football goals, student quiz marks, judo player weights, internet usage hours, city temperatures, post office counts, and savings data. By the end, students should be able to organize raw data into frequency tables and various graphical forms, interpret these representations to answer questions, and identify potentially misleading graphs.