Practice
Practise until it sticks
Choose a topic, a skill or a difficulty. Calculation exercises have new versions with fresh numbers once you have solved them, so you can practise the method rather than memorise an answer.
1324 exercises (showing the first 200; narrow the filters).
- Descriptive or inferential?Statistical Thinking · What statistics is for · ●
- Which questions need statistics?Statistical Thinking · What statistics is for · ●
- The investigation cycleStatistical Thinking · What statistics is for · ●
- How much do waiting times vary?Statistical Thinking · What statistics is for · ● · new versions available
- Long commutesStatistical Thinking · What statistics is for · ●●
- A 4% dip in salesStatistical Thinking · What statistics is for · ●●
- “My commute proves the average is wrong”Statistical Thinking · What statistics is for · ●●
- Parameter or statistic?Statistical Thinking · Populations, samples, parameters and statistics · ●
- NotationStatistical Thinking · Populations, samples, parameters and statistics · ●
- From sample proportion to population estimateStatistical Thinking · Populations, samples, parameters and statistics · ● · new versions available
- Overall response rateStatistical Thinking · Populations, samples, parameters and statistics · ●●
- Identify the populationStatistical Thinking · Populations, samples, parameters and statistics · ●●
- The sample mean missedStatistical Thinking · Populations, samples, parameters and statistics · ●●
- Describe the studyStatistical Thinking · Populations, samples, parameters and statistics · ●●
- Classify the variablesStatistical Thinking · Variables and observations · ●
- What is one row?Statistical Thinking · Variables and observations · ●
- Digits that are not numbersStatistical Thinking · Variables and observations · ●
- Who was tutored?Statistical Thinking · Variables and observations · ●
- How many rows?Statistical Thinking · Variables and observations · ●● · new versions available
- The average departmentStatistical Thinking · Variables and observations · ●●
- Customers or transactions?Statistical Thinking · Variables and observations · ●●●
- Name the scaleStatistical Thinking · Measurement scales · ●
- Which statements make sense?Statistical Thinking · Measurement scales · ●●
- Levels of measurementStatistical Thinking · Measurement scales · ●
- The real temperature ratioStatistical Thinking · Measurement scales · ●● · new versions available
- Summarising a Likert itemStatistical Thinking · Measurement scales · ●●
- Pick a summaryStatistical Thinking · Measurement scales · ●●
- A rise in mean satisfactionStatistical Thinking · Measurement scales · ●●●
- Observational or experiment?Statistical Thinking · Observational studies and experiments · ●
- The language of experimentsStatistical Thinking · Observational studies and experiments · ●
- Change in each armStatistical Thinking · Observational studies and experiments · ●●
- An onboarding experimentStatistical Thinking · Observational studies and experiments · ● · new versions available
- Gym members and sick daysStatistical Thinking · Observational studies and experiments · ●●
- Designing an experimentStatistical Thinking · Observational studies and experiments · ●●
- Generalise or explain?Statistical Thinking · Observational studies and experiments · ●●●
- Why did the placebo arm improve?Statistical Thinking · Observational studies and experiments · ●●●
- Primary or secondary?Statistical Thinking · Where data come from · ●
- Name the sourceStatistical Thinking · Where data come from · ●
- Random or systematic error?Statistical Thinking · Where data come from · ●●
- Correcting a known biasStatistical Thinking · Where data come from · ● · new versions available
- Reliable, valid, both or neitherStatistical Thinking · Where data come from · ●●
- Check before you useStatistical Thinking · Where data come from · ●●
- Hospital records as a measure of illnessStatistical Thinking · Where data come from · ●●●
- Name the biasStatistical Thinking · Bias and representative samples · ●
- Who answered?Statistical Thinking · Bias and representative samples · ●
- Correcting for nonresponseStatistical Thinking · Bias and representative samples · ●●●
- 48,000 votes or 1,000 random adults?Statistical Thinking · Bias and representative samples · ●●
- How nonresponse distorts a resultStatistical Thinking · Bias and representative samples · ●● · new versions available
- Fix the questionStatistical Thinking · Bias and representative samples · ●
- Explain the engagement biasStatistical Thinking · Bias and representative samples · ●●●
- Find the confounderStatistical Thinking · Confounding and causation · ●
- Tutored vs untutoredStatistical Thinking · Confounding and causation · ●
- Did the groups start equal?Statistical Thinking · Confounding and causation · ●●
- What the tutoring data showStatistical Thinking · Confounding and causation · ●●
- Overall recovery ratesStatistical Thinking · Confounding and causation · ●●
- Two sales teamsStatistical Thinking · Confounding and causation · ●● · new versions available
- Is a causal claim justified?Statistical Thinking · Confounding and causation · ●●
- Explain the tutoring comparisonStatistical Thinking · Confounding and causation · ●●●
- Margin of error for a pollStatistical Thinking · Uncertainty and significance · ●● · new versions available
- Bigger sample, smaller marginStatistical Thinking · Uncertainty and significance · ●● · new versions available
- How many to survey?Statistical Thinking · Uncertainty and significance · ●● · new versions available
- Reading a pollStatistical Thinking · Uncertainty and significance · ●●
- Significant but smallStatistical Thinking · Uncertainty and significance · ●●
- Sound or unsound interpretation?Statistical Thinking · Uncertainty and significance · ●●●
- A permit-processing pilotStatistical Thinking · Uncertainty and significance · ●●●
- Spot the flawStatistical Thinking · Critiquing statistical claims · ●
- “Halves the risk”Statistical Thinking · Critiquing statistical claims · ●● · new versions available
- Counts or rates?Statistical Thinking · Critiquing statistical claims · ●● · new versions available
- Questions worth askingStatistical Thinking · Critiquing statistical claims · ●●
- Classify the weaknessStatistical Thinking · Critiquing statistical claims · ●●
- Which evidence is strongest?Statistical Thinking · Critiquing statistical claims · ●●
- Critique a press releaseStatistical Thinking · Critiquing statistical claims · ●●●
- Build a frequency tableDescribing Data · Frequency and relative frequency · ● · new versions available
- Reading a cumulative shareDescribing Data · Frequency and relative frequency · ● · new versions available
- Mobile wallet shareDescribing Data · Frequency and relative frequency · ●●
- Row percentage in a two-way tableDescribing Data · Frequency and relative frequency · ●●
- Which percentage is it?Describing Data · Frequency and relative frequency · ●●
- When does cumulative frequency make sense?Describing Data · Frequency and relative frequency · ●
- Steps to a frequency tableDescribing Data · Frequency and relative frequency · ●
- Comparing branches fairlyDescribing Data · Frequency and relative frequency · ●●
- Mean of a small sampleDescribing Data · Mean, median and mode · ● · new versions available
- Median with an even number of valuesDescribing Data · Mean, median and mode · ● · new versions available
- Centre of the company's commutesDescribing Data · Mean, median and mode · ●●
- Which number goes in the report?Describing Data · Mean, median and mode · ●●
- Choose the right measureDescribing Data · Mean, median and mode · ●
- One extreme valueDescribing Data · Mean, median and mode · ●● · new versions available
- Explain the gapDescribing Data · Mean, median and mode · ●●
- Mode of travelDescribing Data · Mean, median and mode · ●
- Weighted course gradeDescribing Data · Weighted and geometric means · ● · new versions available
- Average price paid per unitDescribing Data · Weighted and geometric means · ●● · new versions available
- Average annual growthDescribing Data · Weighted and geometric means · ●● · new versions available
- Build the growth-rate formulaDescribing Data · Weighted and geometric means · ●●
- Daily returns of the growth fundDescribing Data · Weighted and geometric means · ●●●
- Which mean?Describing Data · Weighted and geometric means · ●●
- The advertised average returnDescribing Data · Weighted and geometric means · ●●
- Positive average, negative resultDescribing Data · Weighted and geometric means · ●●●
- Sum of squares and varianceDescribing Data · Variance and standard deviation · ● · new versions available
- Sample standard deviationDescribing Data · Variance and standard deviation · ● · new versions available
- A whole populationDescribing Data · Variance and standard deviation · ●● · new versions available
- Variability before and after a routing changeDescribing Data · Variance and standard deviation · ●●
- Changing unitsDescribing Data · Variance and standard deviation · ●●● · new versions available
- n or n − 1?Describing Data · Variance and standard deviation · ●●
- What does s = 8.6 minutes mean?Describing Data · Variance and standard deviation · ●●
- Explain n − 1Describing Data · Variance and standard deviation · ●●●
- First quartile by interpolationDescribing Data · Quartiles and percentiles · ● · new versions available
- Quartiles and IQRDescribing Data · Quartiles and percentiles · ●● · new versions available
- The 90th percentileDescribing Data · Quartiles and percentiles · ●● · new versions available
- The salary distribution in percentilesDescribing Data · Quartiles and percentiles · ●●
- Percentile rankDescribing Data · Quartiles and percentiles · ●● · new versions available
- Two answers for the same quartileDescribing Data · Quartiles and percentiles · ●●
- Percentile vocabularyDescribing Data · Quartiles and percentiles · ●
- Explaining a pay percentileDescribing Data · Quartiles and percentiles · ●●
- Five-number summaryDescribing Data · Five-number summary and outliers · ● · new versions available
- Compute the fencesDescribing Data · Five-number summary and outliers · ● · new versions available
- How many outliers?Describing Data · Five-number summary and outliers · ●● · new versions available
- Flagged commutesDescribing Data · Five-number summary and outliers · ●●
- Flagged flight delaysDescribing Data · Five-number summary and outliers · ●●
- What should happen to this value?Describing Data · Five-number summary and outliers · ●●
- What a box plot cannot showDescribing Data · Five-number summary and outliers · ●●
- Building a box plotDescribing Data · Five-number summary and outliers · ●
- Standardise a blood pressure readingDescribing Data · z-scores and relative standing · ● · new versions available
- From z back to the original unitsDescribing Data · z-scores and relative standing · ● · new versions available
- Who did relatively better?Describing Data · z-scores and relative standing · ●● · new versions available
- A negative z for a race timeDescribing Data · z-scores and relative standing · ●
- Standing among female runnersDescribing Data · z-scores and relative standing · ●●
- Does the empirical rule hold?Describing Data · z-scores and relative standing · ●●
- Write the conversion formulaDescribing Data · z-scores and relative standing · ●
- Interpret a z-score in contextDescribing Data · z-scores and relative standing · ●●
- Name the shapeDescribing Data · Shape: skewness and kurtosis · ●
- A quick skewness indexDescribing Data · Shape: skewness and kurtosis · ● · new versions available
- Moment skewness by handDescribing Data · Shape: skewness and kurtosis · ●●● · new versions available
- Kurtosis or excess kurtosis?Describing Data · Shape: skewness and kurtosis · ● · new versions available
- The shape of claim sizesDescribing Data · Shape: skewness and kurtosis · ●●
- Reading the mean–median gapDescribing Data · Shape: skewness and kurtosis · ●
- Fat tails in fund returnsDescribing Data · Shape: skewness and kurtosis · ●●
- Describe claim sizes for a managerDescribing Data · Shape: skewness and kurtosis · ●●
- Median absolute deviationDescribing Data · Robust summaries and relative spread · ● · new versions available
- A 10% trimmed meanDescribing Data · Robust summaries and relative spread · ●● · new versions available
- A 10% winsorized meanDescribing Data · Robust summaries and relative spread · ●● · new versions available
- Coefficient of variationDescribing Data · Robust summaries and relative spread · ● · new versions available
- Relative pay dispersion by departmentDescribing Data · Robust summaries and relative spread · ●●
- Is the CV meaningful?Describing Data · Robust summaries and relative spread · ●●
- Robust salary summariesDescribing Data · Robust summaries and relative spread · ●●
- Comparing fund volatilityDescribing Data · Robust summaries and relative spread · ●●
- Estimate a mean from a grouped tableDescribing Data · Grouped data · ● · new versions available
- Estimate a standard deviationDescribing Data · Grouped data · ●● · new versions available
- Grouped medianDescribing Data · Grouped data · ●● · new versions available
- How good is the grouped estimate?Describing Data · Grouped data · ●●
- Exact or estimated?Describing Data · Grouped data · ●
- An open-ended top classDescribing Data · Grouped data · ●●
- Steps for a grouped medianDescribing Data · Grouped data · ●
- Match the summary to the variableDescribing Data · Choosing and reporting summaries · ●
- A two-part summary of bonusesDescribing Data · Choosing and reporting summaries · ●●
- One row of a summary tableDescribing Data · Choosing and reporting summaries · ●●
- How many decimals?Describing Data · Choosing and reporting summaries · ●
- Spot the reporting flawDescribing Data · Choosing and reporting summaries · ●●
- A summarising workflowDescribing Data · Choosing and reporting summaries · ●
- Write the summary sentenceDescribing Data · Choosing and reporting summaries · ●●
- Averaging ratingsDescribing Data · Choosing and reporting summaries · ●●
- From question to chartVisualising and Exploring Data · Choosing the right chart · ●
- Match the variables to a chartVisualising and Exploring Data · Choosing the right chart · ●
- Read the department bar chartVisualising and Exploring Data · Choosing the right chart · ●
- Read a median off the box plotsVisualising and Exploring Data · Choosing the right chart · ●●
- A pie of averagesVisualising and Exploring Data · Choosing the right chart · ●●
- Charts that can compare distributionsVisualising and Exploring Data · Choosing the right chart · ●●
- Steps in choosing a chartVisualising and Exploring Data · Choosing the right chart · ●
- How many employees in the biggest group?Visualising and Exploring Data · Choosing the right chart · ● · new versions available
- Justify your chartVisualising and Exploring Data · Choosing the right chart · ●●
- Card share — which total?Visualising and Exploring Data · Bar charts for categories · ●Members
- Sort the barsVisualising and Exploring Data · Bar charts for categories · ●Members
- Row or column percentage?Visualising and Exploring Data · Bar charts for categories · ●●Members
- Read a 100% stacked barVisualising and Exploring Data · Bar charts for categories · ●● · new versions availableMembers
- Which bar design?Visualising and Exploring Data · Bar charts for categories · ●●Members
- Purchases per 100 clicksVisualising and Exploring Data · Bar charts for categories · ●●Members
- The biggest bar is not the best channelVisualising and Exploring Data · Bar charts for categories · ●●Members
- Explain the stacked-bar choiceVisualising and Exploring Data · Bar charts for categories · ●●●Members
- Freedman–Diaconis bin widthVisualising and Exploring Data · Histograms · ● · new versions availableMembers
- Read the tallest barVisualising and Exploring Data · Histograms · ●●Members
- Which values fall in the bin?Visualising and Exploring Data · Histograms · ●● · new versions availableMembers
- Describe the commute histogramVisualising and Exploring Data · Histograms · ●Members
- Name the shapeVisualising and Exploring Data · Histograms · ●Members
- Height of a wide barVisualising and Exploring Data · Histograms · ●●● · new versions availableMembers
- Too few binsVisualising and Exploring Data · Histograms · ●●Members
- Write the descriptionVisualising and Exploring Data · Histograms · ●●Members
- Quartiles for a box plotVisualising and Exploring Data · Box plots and dot plots · ● · new versions availableMembers
- Fences, whisker and outliersVisualising and Exploring Data · Box plots and dot plots · ●● · new versions availableMembers
- Read Cobalt Wings' boxVisualising and Exploring Data · Box plots and dot plots · ●●Members
- Most unpredictable airlineVisualising and Exploring Data · Box plots and dot plots · ●●Members
- What can a box plot tell you?Visualising and Exploring Data · Box plots and dot plots · ●●Members
- Identical boxesVisualising and Exploring Data · Box plots and dot plots · ●●Members
- How many flights are outliers?Visualising and Exploring Data · Box plots and dot plots · ●●●Members
- Compare two airlinesVisualising and Exploring Data · Box plots and dot plots · ●●Members
- Density at a pointVisualising and Exploring Data · Density curves and violin plots · ●● · new versions availableMembers
- Scott's bandwidth for experienceVisualising and Exploring Data · Density curves and violin plots · ●●Members
- From height to proportionVisualising and Exploring Data · Density curves and violin plots · ●● · new versions availableMembers
- Too narrow or too wide?Visualising and Exploring Data · Density curves and violin plots · ●●Members
- The spike at zeroVisualising and Exploring Data · Density curves and violin plots · ●●●Members
- What does the height mean?Visualising and Exploring Data · Density curves and violin plots · ●●Members
- Violin or box?Visualising and Exploring Data · Density curves and violin plots · ●●Members
- Critique a smooth curveVisualising and Exploring Data · Density curves and violin plots · ●●●Members