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Statistics Grades 10–12

AP Statistics Mission

Cover the full AP Statistics curriculum — distributions, sampling, confidence intervals, hypothesis testing, regression, and inference.

10 activities · Work through in order for a complete lesson arc

1

Normal Distribution & Z-Score Explorer

Interactive bell curve with shaded probability regions. Convert between raw scores and Z-scores with numerical integration.

Start with the normal distribution — central to all inference.

2

Confidence Interval Calculator

Calculate confidence intervals for means (z and t) and proportions. See margin of error, critical values, number line visualization, and sample size calculations.

3

Hypothesis Testing Calculator

Run z-tests, t-tests, two-sample t-tests, and chi-square goodness-of-fit tests. See test statistics, p-values, critical values, and step-by-step breakdowns.

4

Chi-Square Test

Test independence with contingency tables up to 4x4. Chi-square statistic, p-value, Cramer's V, and grouped bar chart.

5

Linear Regression Calculator

Find the best-fit line for paired data. See slope, intercept, correlation, R-squared, scatter plot, and residual analysis.

6

ANOVA Calculator

One-way ANOVA for comparing 2-6 group means. F-statistic, p-value, effect size, summary table, and side-by-side box plots.

7

Sampling & Randomization Lab

Compare SRS, stratified, cluster, systematic, and convenience sampling on a population grid. Detect bias, build sampling distributions, and watch standard error decrease with sample size

8

Bootstrap & Confidence Interval Lab

Draw bootstrap resamples to build confidence intervals using percentile, normal, and BCa methods. Run coverage simulations to verify that 95% CIs capture the true parameter 95% of the time

9

Hypothesis Testing Lab

Set up a one-sample z-test. Enter population mean, sample mean, standard deviation, and sample size. Compute the z-statistic, p-value, and decision to reject or fail to reject the null hypothesis.

10

Regression & Residual Diagnostics Lab

Fit linear, quadratic, and exponential models then diagnose fit with residual plots, leverage, Cook's distance, and Q-Q plots. Explore Anscombe's Quartet to see why R² alone is not enough

Capstone — diagnose and interpret regression models.