Statistics Practice App

You're Betterat StatisticsThan You Think.

Prove it in 10 questions.

2,400+ students practiced this week

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The Learning Loop

How learning actually happens inside Sigma.

Four steps. One loop. You'll feel the rhythm by the second question.

01
The Question Appears

A real problem — no hand-holding yet.

Each session opens with a question drawn from your current difficulty tier. You see the full problem, nothing more.

Chi-Square TestQuestion 3 of 5

A researcher observes the following counts in four categories: 18, 22, 24, 16. Under the null hypothesis of equal proportions, what is the expected count per cell?

16.0
20.0
22.5
18.5
02
Open the Hint Drawer

The reasoning, before the answer.

One tap opens a plain-language explanation of the concept — with a hand-drawn diagram. You learn the why first.

Chi-Square Test

Under the null hypothesis of equal proportions, what is the expected count per cell?

The idea: If all categories are equally likely, you'd split the total evenly. Total = 18 + 22 + 24 + 16 = 80. Divided by 4 cells = 20.0 per cell.

μμ+σμ-σ

Expected = Total ÷ Number of categories

03
Submit & See Your Streak

Immediate feedback. No shame.

Submit your answer and watch your streak counter tick. Every concept you touch gets tagged and logged to your map.

Answer Submitted

Correct! Expected = 20.0
6
streak

Concepts Logged Today

Expected ValuesChi-SquareNull HypothesisEqual Proportions
04
Your Weekly Progress Map

Watch mastery fill in.

Topics start as sage outlines. As you practice, they fill to deep fern green. Your gaps become visible — and shrinkable.

Weekly Progress Map

Feb 17 – Feb 23

34

questions

Descriptive Stats85%
Probability72%
Normal Distribution60%
Hypothesis Testing44%
Chi-Square Tests30%
Regression10%
Mastered
In Progress
Curriculum

Everything you need — from first week to quals.

540+ scaffolded questions across 18 topics, organized by the difficulty tiers your coursework actually uses.

Introductory
238 questions
Mean, Median, Mode48
Standard Deviation42
Variance & Range36
Frequency Distributions30
Percentiles & Quartiles28
Basic Probability Rules54
Intermediate
287 questions
Normal Distribution60
Sampling Distributions45
Confidence Intervals52
One-Sample t-Tests48
Two-Sample t-Tests44
Conditional Probability38
Advanced
271 questions
Chi-Square Tests56
ANOVA40
Linear Regression62
Multiple Regression48
Bayesian Inference35
Power & Effect Size30
540+
Scaffolded Questions
18
Topics Covered
5
Questions Per Session
Diagnostic Quiz

Start your diagnostic.

10 questions across descriptive stats, probability, and inference. No sign-up required. See where you stand in under 8 minutes.

Question 1 of 10
IntroDescriptive Stats

A dataset has values: 4, 7, 7, 9, 13. What is the median?

Hint: The median is the middle value when data is sorted in order. With 5 values, the 3rd value is the middle.