Statistics Toolkit

A unified suite of tools for descriptive and inferential statistics.

Welcome to Your Statistics Toolkit

This application is a comprehensive suite of tools designed to assist with your introductory statistics coursework, from descriptive statistics to inference.

Learn & Review
  • AI Assistant: A conversational AI to help answer your statistics questions.
  • Chapter Resources: A hub for chapter summaries and practice exercises.
  • Glossary & Concepts: A searchable dictionary of key statistical terms.
Descriptive Statistics
  • Analysis Tool: The main hub for calculating means, medians, standard deviations, and generating charts like histograms, boxplots, and scatterplots.
  • Categorical Data Tools: Create bar and pie charts.
  • Calculators: Specialized tools for Z-Scores, Percentiles, the Empirical Rule, and Correlation.
Probability & Inference
  • Probability Tools: Explore normal distributions and calculate probabilities with contingency tables.
  • Sampling Distributions: Simulate and visualize the Central Limit Theorem.
  • Confidence Intervals: Estimate population parameters.
  • Hypothesis Tests: Test a claim about a population parameter.

How to Use This Tool

For detailed, step-by-step instructions on how to use each feature, please visit the Help section.

Help & Instructions

Glossary of Key Concepts

Chapters


Use this tool to paste data that is organized in rows (e.g., from a textbook). Each row should start with a title, followed by the numbers separated by commas or tabs.

Data Visualization & Correlation

Statistical Breakdowns

Analysis Summary

A summary of the selected analysis will appear here.

Categorical Data Tools

Enter categorical data (e.g., Red, Blue, Blue, Green) separated by commas or new lines to generate visualizations.

Visualization

Probability Calculator

Hypothetical 1000 Table Generator

Enter three known probabilities to generate a 2x2 contingency table and calculate related probabilities. For example, enter P(A), P(B), and P(A and B).


Generated Table

Your hypothetical 1000 table will appear here.

Calculated Probabilities

Calculated probabilities will appear here.

Raw Data Table Calculator

Load a categorical dataset from the Chapter 5 exercises to automatically generate a contingency table and calculate all related probabilities.

Contingency Table

Load a dataset to begin.

Calculated Probabilities

Calculated probabilities will appear here.

Z-Score Calculator

Calculate the z-score to see how many standard deviations a data point is from the mean.

Percentile Calculator

Enter a dataset to find key percentiles or the percentile rank of a specific value.

Empirical Rule (68-95-99.7) Calculator

For data that follows a bell-shaped, normal distribution, the Empirical Rule tells us how much data falls within a certain number of standard deviations from the mean.

Correlation from Summary Data

Use this tool when you don't have the raw data, but you have pre-calculated summary statistics (like in exercise 4.20). Enter the values below to calculate the correlation coefficient (r).

Normal Distribution Calculator

Probability:

0.0000

Sampling Distribution Simulator for Proportions (p̂)

Visualize how sample proportions (p̂) behave by drawing many random samples from a population.

Distribution of Sample Proportions

For a Population Proportion (p)

For a Population Mean (μ)

One-Sample Test for a Proportion (z-test)

1. State Hypotheses
H₀: p =
2. Enter Sample Data
3. Set Significance Level (α)

One-Sample Test for a Mean (t-test)

1. State Hypotheses
H₀: μ =
2. Enter Sample Data
3. Set Significance Level (α)