Statistics · 17 problems · 3 optional · 2 project ideas
Problem sheet
Beginner
Start with the essentials5 problemsMean 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
Connect the concepts6 problemsProbability 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
Stretch your understanding9 problemsSampling 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
Ungraded briefs to build on your own2 project ideasA/B Test Analyser
Project idea · a-b-testing · hypothesis-testing · confidence-intervals
Dice and Coin Simulator
Project idea · simulation · law-of-large-numbers · distributions