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Statistics tutoring

From the Central Limit Theorem to Bayesian networks.

Statistics is math about uncertainty. We teach it the way it's used — with real data, real distributions, and enough theory that the intuition sticks.

Levels covered
  • AP Statistics
  • Introductory college stats
  • Probability theory
  • Bayesian & mathematical statistics
Topics we cover

The full statistics syllabus.

Probability
P(AB)=P(A)P(BA)P(A \cap B) = P(A) \cdot P(B \mid A)
Bayes' theorem
P(AB)=P(BA)P(A)P(B)P(A \mid B) = \frac{P(B \mid A) P(A)}{P(B)}
Distributions
XN(μ,σ2)X \sim \mathcal{N}(\mu, \sigma^2)
CLT
XˉndN ⁣(μ,σ2n)\bar{X}_n \xrightarrow{d} \mathcal{N}\!\left(\mu, \frac{\sigma^2}{n}\right)
Hypothesis testing
z=xˉμ0σ/nz = \frac{\bar{x} - \mu_0}{\sigma / \sqrt{n}}
Regression
β^=(XX)1Xy\hat{\beta} = (X^{\top}X)^{-1} X^{\top} y
Sample problem

The medical test paradox

P(sick+)=?P(\text{sick} \mid +) = ?

A test is 99% accurate; the disease affects 1 in 10,000. Given a positive test, what's the probability the patient is actually sick?

Exam preparation

We prep you for:

AP StatisticsIB Math Applications & InterpretationGRE QuantitativeActuarial P/1 prepUniversity intro stats finals
FAQ

Statistics tutoring — questions

Yes — one of the first things we clarify. Different philosophies, different tools; we cover both.

Statistics

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