Statistics

15 interactive Mathematics simulations on statistics.

Grouped frequency table and relative frequency chart Mathematics · Statistics A data sample (student height, weight, or daily self-study time) is grouped into classes of a chosen width. The... Ages 14–15
Data charts – bar, line, and pie from the same table Mathematics · Statistics A single data table (monthly temperatures, top students per class, quarterly revenue…) is drawn as a bar chart, a... Ages 12–13
Choosing chart types – misleading graphs Mathematics · Statistics The same dataset is drawn as a bar chart, grouped bar chart, line graph, and pie chart. Students switch chart types,... Ages 13–14
Scatter plots, correlation and least-squares regression Mathematics · Statistics Drag, add or delete points, or paste a table of bivariate data, and see Pearson's r, Spearman's rank coefficient,... Ages 15–16
Variance, standard deviation, and IQR of grouped data Mathematics · Statistics Two samples with the same mean but different spread are grouped and plotted overlapping each other. Drag each... Ages 17–18
Mean, median and mode of grouped data Mathematics · Statistics Generate a sample of test scores out of 100 and group them into a frequency chart. Change the class width or the... Ages 16–17
Confidence intervals – repeated samples, confidence level and margin of error Mathematics · Statistics Draw hundreds of random samples from a population whose parameter is known and see whether each confidence interval... Ages 17–18
Hypothesis testing – p-values, critical regions and Type I and II errors Mathematics · Statistics Set the null hypothesis H₀, a one- or two-tailed alternative H₁ and the significance level α for an exact binomial... Ages 17–18
Chi-square tests – goodness of fit, independence and homogeneity Mathematics · Statistics Roll a fair or loaded die, open bags of coloured sweets or type your own counts, and test them against stated... Ages 17–18
Sampling distribution of a sample proportion – repeated samples and the normal approximation Mathematics · Statistics Set the population proportion p and the sample size n, draw thousands of random samples and build the histogram of... Ages 17–18
Projectile data lab – measures of grouped data Mathematics · Statistics Fire hundreds of projectiles from a cannon with randomly varying angle and speed to build a data set of ranges, then... Ages 16–17
Sampling methods – bias and variability of estimates Mathematics · Statistics Sample a school of 400 students by census, simple random, systematic, stratified, cluster, quota, convenience or... Ages 13–14
Summary statistics of a data set – dragging data points Mathematics · Statistics A data sample is shown as a dot plot on a number line. Drag any point (or click 'Random') and watch the mean,... Ages 15–16
Arithmetic mean – sharing equally and balancing Mathematics · Statistics Four screens explore the arithmetic mean. Level Out: pour water between connected cups and watch the water level... Ages 15–16
Center and spread – kicking a ball in the schoolyard Mathematics · Statistics Four screens use ball kicks in the schoolyard to explore the mean, the median and measures of spread of a data set.... Ages 15–16