# 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. IXL will track your score, and the questions will automatically increase in difficulty as you improve!

## Year 6 skills

- V.1 Calculate mean, median, mode and range
- V.2 Mean, median, mode and range: find the missing number
- V.3 Interpret charts to find mean, median, mode and range
- V.4 Identify representative, random and biased samples
- V.5 Understanding probability
- V.6 Find the probability
- V.7 Make predictions
- V.8 Combinations

## Year 7 skills

- GG.1 Calculate mean, median, mode and range
- GG.2 Interpret charts to find mean, median, mode and range
- GG.3 Mean, median, mode and range: find the missing number
- GG.4 Identify representative, random and biased samples
- HH.1 Combinations
- HH.2 Probability of one event
- HH.3 Make predictions
- HH.4 Probability of opposite, mutually exclusive and overlapping events
- HH.5 Compound events - find the number of outcomes by counting

## Year 8 skills

- CC.1 Calculate mean, median, mode and range
- CC.2 Interpret charts to find mean, median, mode and range
- CC.3 Mean, median, mode and range: find the missing number
- CC.4 Changes in mean, median, mode and range
- CC.5 Identify representative, random and biased samples
- DD.1 Probability of simple events
- DD.2 Probability of opposite, mutually exclusive and overlapping events
- DD.3 Experimental probability
- DD.4 Make predictions
- DD.5 Compound events: find the number of outcomes
- DD.6 Counting principle

## Year 9 skills

- DD.1 Calculate mean, median, mode and range
- DD.2 Interpret charts to find mean, median, mode and range
- DD.3 Mean, median, mode and range: find the missing number
- DD.4 Changes in mean, median, mode and range
- DD.5 Quartiles
- DD.6 Identify representative, random and biased samples
- EE.1 Probability of simple events
- EE.2 Probability of opposite, mutually exclusive and overlapping events
- EE.3 Experimental probability
- EE.4 Make predictions
- EE.5 Compound events: find the number of outcomes
- EE.6 Identify independent and dependent events
- EE.7 Probability of independent and dependent events
- EE.8 Counting principle

## Year 10 skills

- DD.1 Theoretical probability
- DD.2 Experimental probability
- DD.3 Compound events: find the number of outcomes
- DD.4 Identify independent and dependent events
- DD.5 Probability of independent and dependent events
- EE.1 Calculate mean, median, mode and range
- EE.2 Interpret charts to find mean, median, mode and range
- EE.3 Mean, median, mode and range: find the missing number
- EE.4 Quartiles
- EE.5 Identify biased samples

## Year 11 skills

- JJ.1 Theoretical probability
- JJ.2 Experimental probability
- JJ.3 Compound events: find the number of outcomes
- JJ.4 Identify independent and dependent events
- JJ.5 Probability of independent and dependent events
- JJ.6 Geometric probability
- KK.1 Mean, median, mode and range
- KK.2 Quartiles
- KK.3 Mean absolute deviation
- KK.4 Variance and standard deviation
- KK.5 Identify biased samples

## Year 12 skills

- X.1 Introduction to probability
- X.2 Theoretical and experimental probability
- X.3 Compound events: find the number of outcomes
- X.4 Factorials
- X.5 Calculate probabilities of events
- X.6 Counting principle
- X.7 Permutations
- X.8 Permutation and combination notation
- X.9 Find probabilities using permutations and combinations
- X.10 Find probabilities using two-way frequency tables
- X.11 Identify independent events
- X.12 Probability of independent and dependent events
- X.13 Geometric probability
- X.14 Find conditional probabilities
- X.15 Independence and conditional probability
- X.16 Find conditional probabilities using two-way frequency tables
- X.17 Find probabilities using the addition rule
- Y.1 Mean, median, mode and range
- Y.2 Quartiles
- Y.3 Identify biased samples
- Y.4 Mean absolute deviation
- Y.5 Variance and standard deviation

## Year 13 skills

- Q.1 Introduction to probability
- Q.2 Calculate probabilities of events
- Q.3 Combinations and permutations
- Q.4 Find probabilities using combinations and permutations
- Q.5 Find probabilities using two-way frequency tables
- Q.6 Identify independent events
- Q.7 Find conditional probabilities
- Q.8 Independence and conditional probability
- Q.9 Find conditional probabilities using two-way frequency tables
- Q.10 Find probabilities using the addition rule
- R.1 Identify discrete and continuous random variables
- R.2 Write a discrete probability distribution
- R.3 Graph a discrete probability distribution
- R.4 Expected values of random variables
- R.5 Variance of random variables
- R.6 Standard deviation of random variables
- R.7 Write the probability distribution for a game of chance
- R.8 Expected values for a game of chance
- R.9 Choose the better bet
- R.10 Find probabilities using the binomial distribution
- R.11 Mean, variance and standard deviation of binomial distributions
- R.12 Find probabilities using the normal distribution
- R.13 Find z-values
- R.14 Find values of normal variables
- R.15 Distributions of sample means
- R.16 The Central Limit Theorem
- R.17 Use normal distributions to approximate binomial distributions
- S.1 Identify biased samples
- S.2 Variance and standard deviation
- S.3 Identify an outlier
- S.4 Identify an outlier and describe the effect of removing it
- S.5 Outliers in scatter plots
- S.6 Match correlation coefficients to scatter plots
- S.7 Calculate correlation coefficients
- S.9 Interpret regression lines
- S.10 Analyse a regression line of a data set
- S.11 Analyse a regression line using statistics of a data set
- S.12 Find confidence intervals for population means
- S.13 Find confidence intervals for population proportions