Each learning path is one chapter: a guided route through a topic, one small course at a time. Pick a class to see its chapters in order.
Thirty students write down how long their journey to school takes. A list of thirty numbers says very little. A picture of the list says a lot: where most values sit, how far they spread, and whether a few lie far away. In this chapter you draw histograms and box plots, read the shape of a distribution, find outliers with a clear rule, and measure spread with the standard deviation. You also learn to compare a value with its group through a z-score. Small Python programs do the counting, so you can spend your time on what the numbers mean.
How many brothers and sisters does a student picked at random have? How many seeds in a packet will grow? How tall is the next person through the door? Each answer is a number that changes by chance, and each follows a pattern that we can describe. This chapter turns chance into numbers. You will build a probability distribution, find its long-run mean and its spread, count successes with the binomial model, and work with the bell-shaped normal curve and its areas. Every idea is met first in a made-up data set or a simulation, and short Python programs check each result.
Sum up a set of data with one number, the mean, the median or the mode, and measure how far apart the values are.
Measure how likely things are, then carry out a whole data project on a month of weather.