Probability and statistics

Here is a list of all of the skills that cover Probability and statistics! These skills are organised by year, and you can move your mouse over any skill name to preview the skill. To start practising, just click on any link. BSM will track your score, and the questions will automatically increase in difficulty as you improve!

Counting Addition Subtraction Multiplication Division Patterns Comparing Fractions and rational numbers Decimal numbers and decimal fractions Estimation and rounding Geometry Algebra Place values Measurement Mixed operations Time Number sequences Number theory Money and consumer maths Percents Ratios and proportions Probability and statistics Graphs Integers Equations and inequations Word problems Trigonometry Exponents,indices and roots Functions Coordinate geometry Absolute value Properties Differential Complex Numbers Inverse And Joint Variation Sequences and Series Vectors
reception
Year 1
Year 2
Year 3
Year 4
Year 5
Year 6
  • Calculate mean
  • Mean: Finding the missing number
  • Interpret charts to find mean, median, mode and range
  • Random Samples and Biased Samples
  • Understanding probability
  • Find the probability
  • Make predictions
  • Combinations
  • Find the mode
  • Find the mean
  • Find the median.
  • Find the range
  • Mode: find the missing number
  • Calculate median
  • Range: find the missing number
  • Median : Finding the missing number
  • Mean: word problems
  • Median: word problems
Year 7
Year 8
Year 9
  • Calculate mean, median, mode and range
  • Interpret charts to find mean, median, mode and range
  • Mean, median, mode and range: find the missing number
  • Changes in mean, median, mode and range
  • Quartiles
  • Identify representative, random and biased samples
  • Probability of simple events
  • Probability of opposite, mutually exclusive and overlapping events
  • Experimental probability
  • Make predictions
  • Compound events: find the number of outcomes
  • Identify independent and dependent events
  • Probability of independent and dependent events
  • Counting principle
Year 10
  • Illustrates FPC
  • Computes FPC
  • Solves problems involving FPC
  • Illustrates permutation
  • Computes for permutations of n objects taken r at a time
  • Solves problems involving permutation
  • Illustrates combination
  • Differentiates permutation from combination
  • Computes for combinations of n objects taken r at a time
  • Solves Problems Involving Combination
  • Illustrating Probability
  • Determining Experiment
  • Determining Outcome
  • Determining Sample Space
  • Determining Event
  • Identifying Theories of Probability
  • Computing probability
  • Illustrates probability using Venn Diagrams
  • Interprets Venn Diagrams
  • Solves probabilities using Venn Diagrams
  • Illustrates union of events using Venn Diagram
  • Illustrates intersection of events using Venn Diagram
  • Illustrates mutually exclusive events
  • Illustrates complementary events
  • Solves problems involving mutually exclusive events
  • Solves problems involving complementary events
  • Interprets Venn Diagrams
  • Illustrating Propositions
  • Identifying Simple Propositions
  • Identifying Compound Propositions
  • Translating Mathematical Sentences into Propositions
  • Identifying logical operators
  • Identifying truth values of propositions
  • Identifying types of conditional propositions
  • Determining converse of a conditional statement
  • Determining contrapositive of a conditional statement
  • Identifying basic equivalences
  • Defining Random Variables
  • Identifying Discrete Random Variables
  • Dentifying Continuous Random Variables
  • Defining Random Probability Distribution
  • Illustrating Random Probability Distribution Using Equations
  • Illustrating Random Probability Distribution Using Tables
  • Illustrating Random Probability Distribution Using Graphs
  • Properties Of A Random Probability Distribution
  • Defining Population
  • Defining Sample
  • Defining Sample Distribution Of The Sample Means
  • Computing The Mean Of Sample Distribution Of The Sample Means
  • Computing The Variance Of Sample Distribution Of The Sample Means
  • Computing The Standard Deviation Of Sample Distribution Of The Sample Means
  • Solving Problems Involving Sample Distribution Of The Sample Means
  • Computing Point Of Estimate Of A Population Mean
  • Computing Interval Estimate Of A Population Mean
  • Defining Central Limit Theorem
  • Computing For A Sample Mean Given Population Mean And Standard Deviation
  • Computing For A Sample Standard Deviation Given Population Mean And Standard Deviation
  • Making Inferences From A Population
  • Computing For Confidence Level
  • Computing For Sample Size
  • Defining Point Of Estimate
  • Computing For A Sample Mean Given Population Mean And Standard Deviation
  • Defining Quantitative And Qualitative Data
  • Defining Relative Frequency
  • Defining Cumulative Frequency
  • Defining The Mean
  • Calculating The Mean
  • Defining The Median
  • Calculating The Mean
  • Defining The Mode
  • Identifying Outliers
  • Solving Problems Involving Mean
  • Solving Problems Involving Median
  • Solving Problems Involving Mode
  • Defining The Mode
  • Organizing Data Using Tables
  • Organizing Data Using Graphs
  • Interpreting Data Using Tables
  • Interpreting Data Using Graphs
  • Defining The Range
  • Calculating The Range
  • Defining Percentiles
  • Calculating Percentiles
  • Defining Quartiles
  • Calculating Quartiles
  • Defining Standard Deviation
  • Calculating Standard Deviation
  • Defining Variance
  • Calculating Variance
  • Solving Problems Involving Percentiles
  • Solving Problems Involving Quartiles
  • Illustrating Simple Interest
  • Finding Value Of F
  • Finding The Value Of I
  • Finding The Value Of P
  • Finding Value Of R
  • Finding The Value Of T
  • Solving Problems Involving Simple Interest
  • Illustrating Compound Interest
  • Finding The Value Of T
  • Solving Problems Involving Compound Interest
  • Finding The Value Of I
  • Finding The Value Of P
  • Finding Value Of R
  • Finding Value Of F
Year 11
  • Constant Of Variation
  • Use Inverse Variation To Write The Reciprocal Function
  • Use Inverse Variation To Graph The Reciprocal Function
  • Use Joint Variation To Write Mathematical Models
  • Qualitative And Quantitative Data Type (Nominal, Ordinal, Discrete And Continuous): Mixed Review
  • Find Quartiles
  • Lower And Upper Quartile
  • Quartile Deviation
  • Find Quartile Deviation
  • Quartiles And Interquartile Range
  • Quartile Deviation
  • Visualizing Quartiles With Boxplots
  • Interpreting Quartiles
  • Variance And Standard Deviation Formula
  • Calculate Variance And Standard Deviation
  • Properties Of Variance And Standard Deviation
  • Standard Deviation Of Ungrouped Data
  • Standard Deviation By The Actual Mean Method
  • Standard Deviation By Assumed Mean Method
  • Standard Deviation Of Grouped Data
  • Standard Deviation Of Grouped Discrete Frequency Distribution
  • Standard Deviation Of Grouped Continuous Frequency Distribution
  • Measures Of Variability Range, Variance, Quartile And Standard Deviation
  • Measures Of Central Tendency Mean, Median And Mode
  • Understand The Empirical Rule And How It Relates To The Normal Distribution
  • Features Of Normal Distribution
  • Use The Empirical Rule To Solve Problems
  • Summary Statistics
  • Visualizing Quartiles With Boxplots
  • Understand the Empirical Rule and how it relates to the normal distribution
  • Basic Terms Of Probability (Sample Space, Events, Elementary Event, Experiment)
  • Theoretical Probability
  • Experimental Probability
  • Make Predictions
  • Create Two-Way Frequency Tables
  • Use Two-Way Frequency Tables To Determine If Events Are Independent
  • Understand The Fundamental Counting Principle
  • Develop A Theoretical Probability Distribution
  • Recognize A Uniform Probability Distribution
  • Develop An Experimental Probability Distribution
  • Recognize Situations That Are Binomial Experiments
  • Use The Binomial Probability Formula To Find Probabilities
  • Use Binomial Probability To Find Expected Value
  • Understand The Fundamental Counting Principle
  • Develop An Experimental Probability Distribution
  • Use The Binomial Probability Formula To Find Probabilities
  • Recognize Problems Requiring Expected Value To Be Computed
  • Use Expected Value To Find Expected Payoffs
  • Use Expected Values To Evaluate Strategies
  • Use Probability To Determine Whether Games And Strategies Are Fair Or Unfair
  • Identify Independent And Dependent Events
  • Probability Of Independent And Dependent Events
  • Compound Events: Find The Number Of Outcomes
  • Probability Of Compound Events
  • Rules Of Probability
  • Find Conditional Probabilities
  • Independence And Conditional Probability
  • Find Conditional Probabilities Using Two-Way Frequency Tables
  • Find The Number Of Outcomes: Word Problems
Year 12
  • Identify Whether A Question Is A Statistical Question Or Not
  • Identify The Statistical Variable
  • Determine Whether A Statistical Variable Is Qualitative Or Quantitative
  • Identify The Difference Between A Sample And A Population
  • Identify Whether A Quantity Is A Statistic Or A Parameter
  • Identify A Statistical Study As A Sample Survey
  • Identify A Statistical Study As An Experiment
  • Know The Difference Between The Experimental Group And The Control Group
  • Identify A Statistical Study As An Observational Study
  • Determine If A Sampling Method Represents A Simple Random Sample
  • Identify A Sampling Method As Systematic Sampling
  • Identify A Sampling Method As Self-Selected Sampling
  • Identify A Sampling Method As Convenience Sampling
  • Determine If A Study Has Bias
  • Create Box And Whisker Plots From Sets Of Data
  • Create Data Distributions From Sets Of Data
  • Identify Skewed Distributions
  • Graph A Normal Distribution Given The Mean And Standard Deviation
  • Use Z-Scores To Compare Data Points From Different Scales
  • Evaluate Reports By Estimating Population Parameters
  • Use Multiple Samples To Make An Inference About A Population
  • Use Margin Of Error Formula For Quantitative Data
  • Use Margin Of Error Formula For Qualitative Data
  • Determine Whether A Statistical Variable Is Qualitative Or Quantitative