Further MathsFurther Applied Mathematics
Further statistics
Chi-squared tests, central limits, estimators, rank methods, and transformations.
108 worksheets112 questions
Practise
Practice moves from direct fluency towards application, reasoning and synthesis.
- Intro
Distributions, density and summary measures
Step 1 · 11 worksheets · 11 questions
- Density GraphStatistics · 1 questionPractise in MathLab →
- Cdf Constants And QuartileStatistics · 1 questionPractise in MathLab →
- Battery Lifetime DensityStatistics · 1 questionPractise in MathLab →
- Cafe Waiting TimeStatistics · 1 questionPractise in MathLab →
- Cdf Expectation And ModeStatistics · 1 questionPractise in MathLab →
- Cdf With Unknown ConstantsStatistics · 1 questionPractise in MathLab →
- Continuous Uniform DistributionStatistics · 1 questionPractise in MathLab →
- Inverse Cdf DistributionStatistics · 1 questionPractise in MathLab →
- Median Mode And VarianceStatistics · 1 questionPractise in MathLab →
- Piecewise Probability DensityStatistics · 1 questionPractise in MathLab →
- Uniform Distributions And Rectangle SidesStatistics · 1 questionPractise in MathLab →
- Intro
Discrete distribution models
Step 2 · 10 worksheets · 10 questions
- Spinner ProbabilitiesProbability Distributions · 1 questionPractise in MathLab →
- Unknown Value In A DistributionProbability Distributions · 1 questionPractise in MathLab →
- Geometric Distribution And Expected ScoreProbability Distributions · 1 questionPractise in MathLab →
- Plumbing Call OutsProbability Distributions · 1 questionPractise in MathLab →
- Telephone Calls And Poisson ProbabilitiesProbability Distributions · 1 questionPractise in MathLab →
- Probability Generating FunctionProbability Distributions · 1 questionPractise in MathLab →
- Call Centre Wrong ConnectionsProbability Distributions · 1 questionPractise in MathLab →
- Chocolate TokensProbability Distributions · 1 questionPractise in MathLab →
- Negative Binomial DistributionProbability Distributions · 1 questionPractise in MathLab →
- Car Hire And DefectsProbability Distributions · 1 questionPractise in MathLab →
- IntroPractice
Combined distributions and normal approximations
Step 3 · 9 worksheets · 9 questions
- Combinations Of Pole LengthsProbability Distributions · 1 questionPractise in MathLab →
- Combinations Of Sugar Bag WeightsProbability Distributions · 1 questionPractise in MathLab →
- Combinations Of Toy WeightsProbability Distributions · 1 questionPractise in MathLab →
- Combinations Of Fruit WeightsProbability Distributions · 1 questionPractise in MathLab →
- Combining DistributionsProbability Distributions · 1 questionPractise in MathLab →
- Approximating A Distribution With A Normal DistributionProbability Distributions · 1 questionPractise in MathLab →
- Linear Combination Of Normal Random VariablesProbability Distributions · 1 questionPractise in MathLab →
- Normally Distributed Fence PanelsStatistics · 1 questionPractise in MathLab →
- Trigonometric Density And Normal ApproximationStatistics · 1 questionPractise in MathLab →
- Practice
Expectations and transformations
Step 4 · 7 worksheets · 7 questions
- Expected Rectangle PerimeterStatistics · 1 questionPractise in MathLab →
- Random Circle And Triangle AreasStatistics · 1 questionPractise in MathLab →
- Expectation Of Transformed VariablesStatistics · 1 questionPractise in MathLab →
- Linear Transformation Of A Uniform VariableStatistics · 1 questionPractise in MathLab →
- Reciprocal TransformationStatistics · 1 questionPractise in MathLab →
- Uniform Random Number TransformationsStatistics · 1 questionPractise in MathLab →
- Maximum Of Uniform VariablesStatistics · 1 questionPractise in MathLab →
- Practice
Estimation, the central limit theorem and confidence intervals
Step 5 · 10 worksheets · 12 questions
- Bias And Variance Of EstimatorsStatistics · 1 questionPractise in MathLab →
- Comparing EstimatorsStatistics · 1 questionPractise in MathLab →
- Unbiased Estimators And Minimum VarianceStatistics · 1 questionPractise in MathLab →
- Central Limit Theorem ProbabilityCentral Limit Theorem · 3 questionsPractise in MathLab →
- Confidence Interval For Mean Jam WeightStatistics · 1 questionPractise in MathLab →
- Confidence Interval For Bus Arrival TimeStatistics · 1 questionPractise in MathLab →
- Confidence Interval For Yoghurt Pot WeightsStatistics · 1 questionPractise in MathLab →
- Confidence Interval For Yoghurt WeightStatistics · 1 questionPractise in MathLab →
- Confidence Interval For Difference Between Two MeansStatistics · 1 questionPractise in MathLab →
- Cholesterol Mean And Variance Confidence IntervalsHypothesis Testing · 1 questionPractise in MathLab →
- Practice
Correlation and regression
Step 6 · 13 worksheets · 15 questions
- Residual PlotsStatistics · 3 questionsPractise in MathLab →
- Bream Length And WeightStatistics · 1 questionPractise in MathLab →
- Coded Blood MeasurementsStatistics · 1 questionPractise in MathLab →
- Coded Sales And TemperatureStatistics · 1 questionPractise in MathLab →
- Test Scores And RegressionStatistics · 1 questionPractise in MathLab →
- Fertiliser And Wheat YieldStatistics · 1 questionPractise in MathLab →
- Temperature And Energy ConsumptionStatistics · 1 questionPractise in MathLab →
- Temperature And Tea YieldStatistics · 1 questionPractise in MathLab →
- Correlation And RegressionStatistics · 1 questionPractise in MathLab →
- Linear Regression For PigletsStatistics · 1 questionPractise in MathLab →
- Wire Diameter And Failure WeightStatistics · 1 questionPractise in MathLab →
- Wire Strength RegressionStatistics · 1 questionPractise in MathLab →
- Testing A Correlation CoefficientStatistics · 1 questionPractise in MathLab →
- Practice
Rank correlation and agreement
Step 7 · 8 worksheets · 8 questions
- Cake Judges And Rank CorrelationStatistics · 1 questionPractise in MathLab →
- Tied RanksStatistics · 1 questionPractise in MathLab →
- Agreement Between JudgesStatistics · 1 questionPractise in MathLab →
- Athletes RankingsStatistics · 1 questionPractise in MathLab →
- Film RankingsStatistics · 1 questionPractise in MathLab →
- High Jump And Long Jump RanksStatistics · 1 questionPractise in MathLab →
- Judges RankingsStatistics · 1 questionPractise in MathLab →
- Judges Scores And RanksStatistics · 1 questionPractise in MathLab →
- PracticeChallenge
Hypothesis tests, test quality and paired methods
Step 8 · 26 worksheets · 26 questions
- One Tailed Poisson Test For AccidentsQuality Of Tests · 1 questionPractise in MathLab →
- Paired T Test For Resting Heart RatesStatistics · 1 questionPractise in MathLab →
- River Depth And DistanceStatistics · 1 questionPractise in MathLab →
- Testing A Standard Deviation And Confidence IntervalStatistics · 1 questionPractise in MathLab →
- Tests Comparing Running TimesStatistics · 1 questionPractise in MathLab →
- Tests Comparing Swimming TimesStatistics · 1 questionPractise in MathLab →
- Compare Two Tests For A SpinnerQuality Of Tests · 1 questionPractise in MathLab →
- Poisson Hypothesis Test For Customer RateQuality Of Tests · 1 questionPractise in MathLab →
- Quality Of A Poisson TestQuality Of Tests · 1 questionPractise in MathLab →
- Air Pollutant Variance Tests And Confidence IntervalHypothesis Testing · 1 questionPractise in MathLab →
- Bacteria Pollution TestHypothesis Testing · 1 questionPractise in MathLab →
- Company Telephone CallsHypothesis Testing · 1 questionPractise in MathLab →
- Cycle Path CyclistsHypothesis Testing · 1 questionPractise in MathLab →
- Heaters Hypothesis TestHypothesis Testing · 1 questionPractise in MathLab →
- Hypothesis Test For Bolt DiametersStatistics · 1 questionPractise in MathLab →
- One Tailed Test Of Bolt DiameterStatistics · 1 questionPractise in MathLab →
- Potato Yield Variance TestHypothesis Testing · 1 questionPractise in MathLab →
- Check In AssistantsHypothesis Testing · 1 questionPractise in MathLab →
- Garage Telephone CallsHypothesis Testing · 1 questionPractise in MathLab →
- Mountain Rescue CallsHypothesis Testing · 1 questionPractise in MathLab →
- Red CountersHypothesis Testing · 1 questionPractise in MathLab →
- Secretary ErrorsHypothesis Testing · 1 questionPractise in MathLab →
- Supermarket CustomersHypothesis Testing · 1 questionPractise in MathLab →
- Swimming Gala Variance And Mean TestsHypothesis Testing · 1 questionPractise in MathLab →
- Normal Test And Type Ii ErrorQuality Of Tests · 1 questionPractise in MathLab →
- Paired Test Comparing Examination PapersStatistics · 1 questionPractise in MathLab →
- Challenge
Chi-squared tests and fitted models
Step 9 · 14 worksheets · 14 questions
- Treatment And Years Disease FreeChi Squared Tests · 1 questionPractise in MathLab →
- Activity Choice And Age AssociationChi Squared Tests · 1 questionPractise in MathLab →
- Association Between Age And InvestmentChi Squared Tests · 1 questionPractise in MathLab →
- Goodness Of Fit Test For SpinnerChi Squared Tests · 1 questionPractise in MathLab →
- Language Choice And Gender AssociationChi Squared Tests · 1 questionPractise in MathLab →
- Plant Treatment And Survival AssociationChi Squared Tests · 1 questionPractise in MathLab →
- Body Weight And Gender Chi Squared TestsChi Squared Tests · 1 questionPractise in MathLab →
- Chi Squared Tests For Coin FlipsChi Squared Tests · 1 questionPractise in MathLab →
- Binomial Model For Defective PinsChi Squared Tests · 1 questionPractise in MathLab →
- Binomial Model For Fake CoinsChi Squared Tests · 1 questionPractise in MathLab →
- Chi Squared Test For Spun Coin ModelChi Squared Tests · 1 questionPractise in MathLab →
- Models For Oak Tree DistributionChi Squared Tests · 1 questionPractise in MathLab →
- Poisson Model For Orchid CountsChi Squared Tests · 1 questionPractise in MathLab →
- Poisson Mortgage Approvals ModelChi Squared Tests · 1 questionPractise in MathLab →
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