Below there are 123 Statistics Topics
Statistics & Probability are probably the best answered areas in GCSE Maths
These areas are very important for picking up extra marks to get the higher grades!
Step 01
Statistics
Key Stage 2 - GCSE Basics
- Find range from a set of ordered data
- This is the only topic at Step 01
Step 02
Statistics
Key Stage 2 - GCSE Basics
- Find the range of a small set of data.
- This is the only topic at Step 02
Step 03
Statistics
Key Stage 2 - GCSE Basics
- Choose and justify appropriate diagrams, graphs and charts, using ICT as appropriate, to illustrate a short report of a statistical enquiry
- Draw conclusions based on the shape of line graphs
- Represent data in a table
- Extract data and interpret discrete bar charts
- Find mode from a discrete data bar chart
- Extract data and interpret line graphs
- Find mode group from a discrete data grouped bar chart
- Construct on paper, and using ICT simple bar graphs to represent discrete data
- Answer simple questions about 'most likely' from a simple bar chart
- Find the mode from any bar chart
- Construct on paper, and using ICT, bar – line graphs to represent data
- Produce bar charts including dual bar charts
- Produce pictograms
- Find the mode and range for a small set of discrete data
- Calculate the median of a set of data
- Find the modal class for a small set of grouped discrete data
- Compare two simple distributions using the range and the mode
- Draw conclusions from simple statistics for a single distribution
- Find the modal class of a set of continuous data
- Calculate the mean, median, mode and range for discrete data
- Find the mode and range from a bar chart
- Interpret simple pie charts using simple fractions and percentages and multiples of 10% sections
Step 04
Statistics
Key Stage 3 - Pre GCSE
- Group data, where appropriate in equal class intervals
- Design and use data collection sheets for grouped, discrete and continuous data
- Use information provided to complete a two-way table
- Produce pie-charts for categorical data and discrete/continuous numerical data
- Calculate the mean of a set of data
- Compare two simple distributions using the range and the median
- Calculate the mean from a simple frequency table
- Compare two simple distributions using the range and the mean
- Recognise when it is appropriate to use range, mean, median or mode in simple cases (nice data, with no extreme values)
- Interpret data from simple compound and comparative bar charts
- Calculate find the range, modal class, interval containing the median and find an estimate of the mean of a grouped data frequency table.
- From a pie chart find the mode; total frequency
Step 05
Statistics
Key Stage 3 - Pre GCSE
- Interpret and/or compare bar graphs and frequency diagrams which are misleading (with false origins, different scales etc.)
- Interpret pie charts and line graphs taking into account different sized samples
- Construct on paper and using ICT simple pie charts using categorical data - e.g. two or three categories
- Use simple two way tables
- Construct a simple (no boundary data) frequency table with given equal class intervals for continuous data.
- Construct a frequency table with given equal class intervals for continuous data (boundary data given)
- Identify where boundary data would go for different use of inequalities. Discrete and continuous data.
- Design tables recording discrete and continuous data
- Construct complex bar graphs (should be compound)
- Construct with ICT simple line graphs for time series
- Design a question for a questionnaire
- Criticise questions for a questionnaire
- Design and use two-way tables for discrete and grouped data
- Produce grouped frequency tables for continuous data
- Compare two distributions given summary statistics in simple cases.
- Compare two distributions given summary statistics in more complex cases.
- Compare two distributions using the range of data
- Interpret data from compound and comparative bar charts
- Interpret a scatter graph
- Draw scatter graphs
Step 06
Statistics
Key Stage 3 - Pre GCSE
- Identify which graphs are the most useful in the context of the problem
- Interpret and discuss data
- Produce ordered back-to-back stem and leaf diagrams
- Make inferences about data through extracting information from a two way table
- Recognise when it is appropriate to use mean, median or mode in more complex cases (put in extreme values)
- Recognise when modal class is the most appropriate statistic for grouped data
- Construct and use frequency polygons to compare sets of data
- Identify and explain anomalies (outliers) in a data set
- Understand that the expression 'estimate' will be used where appropriate, when finding the mean of grouped data using mid-interval values
- Calculate the mean and range from a frequency table for discrete data
- Understand how different sample sizes may not be representative of a whole population
- Identify what primary data to collect and in what format including grouped data
- Recognise quantitative and qualitative data
- Identify possible sources of bias and plan to minimise it
- Understand what is meant by a sample and a population
- Understand primary and secondary data sources
Step 07
Statistics
KS4 - Foundation GCSE
- Use more complex two way tables
- Construct on paper, and using ICT, frequency diagrams for grouped discrete data
- Find the median, mode and range from a stem and leaf diagram
- Estimate the mean of grouped data using the mid-interval value
- Understand that the frequency represented by corresponding sectors in two pie charts is dependent upon the total populations represented by each of the pie charts
- Recognise the advantages and disadvantages between measures of average
- Criticise questions from a questionnaire
- Understand how sources of data may be biased
- Decide what data to collect and what analysis is needed
- Write questionnaire questions to eliminate bias, on timing and location of survey to ensure sample is representative
- Know the definition of random sampling
- State how reliable their predictions are
- Draw a line of best fit by eye and understand what they represent
- Understand that correlation does not imply causality
- Distinguish between positive, negative and zero correlation using lines of best fit
- Appreciate that correlation is a measure of the strength of the association between two variables and that zero correlation does not necessarily imply 'no relationship' but merely 'no linear
relationship'
- Use a line of best fit, or otherwise, to predict values of one variable given values of the other variable
- Intepret scatter graphs in terms of the relationship between two variables
- Use the line of best fit to make predictions
- Interpolate and extrapolate apparent trends whilst knowing the dangers of doing so
- Interpret correlation in terms of the problem
Step 08
Statistics
KS4 - Foundation GCSE
- Know the appropriate use of a cumulative frequency diagram
- Construct cumulative frequency tables
- Calculate possible values of the set of data given summary statistics
- Interpret box plots to find median, quartiles, range and interquartile range and draw conclusions
- Produce box plots from raw data and identify outliers when given quartiles and median
- Use random numbers to get a sample
Step 09
Statistics
KS4 - Foundation GCSE
- Interpret and analyse information in a range of linear graphs - to describe how one variable changes in relation to another
- Construct cumulative frequency graphs
- Interpret cumulative frequency graphs
- Find the median, quartiles and interquartile range for large data sets with grouped data
- Compare the measures of spread between a pair of box plots/cumulative frequency graphs
- Select and justify a sampling scheme and a method to investigate a population, including random and stratified sampling
Step 10
Statistics
Key Stage 4 - Higher GCSE
- Know the appropriate use of Histograms
- Compare the mean, median, mode and range as appropriate of two distributions
- Use a spreadsheet to calculate mean and range and find median and mode
- Compare distributions and make inferences, using the shapes of distributions and measures of average and spread, including median and quartiles
- Compare median and inter-quartile range of two distributions
- From a cumulative frequency graph estimate frequency greater/less than a given value
- Estimate the mean from a histogram
- Stratified sampling - know the definition and state in terms of proportion, fraction, percentage or ratio
Step 11
Statistics
Key Stage 4 - Higher GCSE
- Use and understand frequency density
- Construct and interpret histograms from class intervals with unequal width
- From a histogram complete a grouped frequency table
- From a histogram understand and define frequency density
- Estimate the median (or other information) from a histogram with unequal class width
Step 12
Statistics
Key Stage 4 - Higher GCSE
- Topic does not reach Step 12
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