Statistics · 17 problems · 3 optional · 2 project ideas

Problem sheet

Beginner

5 problems

Mean and Variance (Population vs Sample)

descriptive-statistics · variance · bessel-correction

Median and Mode

descriptive-statistics · median · mode

Percentiles by Linear Interpolation

percentiles · quantiles · iqr

Histogram with Equal-Width Bins

histograms · binning · distributions

Standardize to z-scores

standardization · z-score · outliers

Intermediate

6 problems

Probability by Counting Outcomes

probability · sample-space · events

Conditional Probability and Bayes' Rule

conditional-probability · bayes-rule · base-rate

Binomial Probabilities

probability · binomial-distribution · bernoulli-trials

The Normal Distribution

normal-distribution · pdf · cdf

Dice Simulation and the Law of Large Numbers

simulation · monte-carlo · law-of-large-numbers

Covariance and Pearson Correlation

covariance · correlation · association

Advanced

9 problems

Sampling Distributions and Standard Error

sampling-distribution · standard-error · central-limit-theorem

Bootstrap Confidence Interval

bootstrap · confidence-interval · resampling

Introducing scipy.stats

scipy · distributions · normal

Chi-Square Test with SciPy

scipy · hypothesis-testing · chi-square

Chi-Square Goodness of Fit by HandOptional

hypothesis-testing · chi-square · categorical-data

Welch's t-test with SciPy

scipy · hypothesis-testing · t-test

Welch's t-statistic by HandOptional

hypothesis-testing · t-test · two-sample

Permutation Test with SciPy

scipy · hypothesis-testing · permutation-test

Permutation Test for a Mean Difference by HandOptional

hypothesis-testing · permutation-test · p-value

Project ideas

2 project ideas

A/B Test Analyser

Project idea · a-b-testing · hypothesis-testing · confidence-intervals

Dice and Coin Simulator

Project idea · simulation · law-of-large-numbers · distributions