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Grade Ladder – Data
7
  • Use a two-way table, tree diagram or Venn diagram to calculate conditional probability
  • Decide if two events are independent
  • Construct and interpret histograms
  • Estimate the mean from a histogram
  • Compare median and inter-quartile range of two distributions
  • From a cumulative frequency graph estimate frequency greater/less than a given value
  • Work out the size of each group in a stratified sample
6
  • Construct and 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
  • Know what is meant by stratified sampling
5
  • Find a missing probability from a list or two-way table including algebraic terms
  • Use tree diagrams to calculate the probability of two dependent events
  • Construct cumulative frequency tables
  • 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
4
  • Record outcomes of events in a Venn Diagram
  • Use more complex two way tables
  • Construct frequency diagrams for grouped discrete data
  • Find the median, mode and range from a stem and leaf diagram
  • Find an estimate for the mean from a grouped frequency table
  • Understand how sources of data may be biased
  • Know the definition of random sampling
  • Draw a line of best fit by eye and understand what it represents
  • Understand that correlation does not imply causality
  • Distinguish between positive, negative and zero correlation
  • Use a line of best fit to predict values
  • Describe the relationship between two variables
3
  • Draw a probability tree diagram
  • Use tree diagrams to calculate the probability of two independent events
  • Use and draw sample space diagrams
  • Draw a frequency tree based on given information and use this to find probability and expected outcome
  • Produce ordered stem and leaf diagrams (including back to back)
  • Construct and use frequency polygons to compare sets of data
  • Identify and explain anomalies (outliers) in a data set
  • 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
2
  • Work out the probability of an event NOT happening
  • Estimate the number of times an event will occur, given probability and number of trials
  • Compare experimental and theoretical probabilities
  • Record outcomes of events in a table
  • Work out probabilities from frequency tables and two-way tables
  • Construct grouped frequency tables
  • Design a question for a questionnaire
  • Criticise questions for a questionnaire
  • Draw and interpret a scatter graph
1
  • Know that the probabilities of exhaustive events sum to 1
  • Identify all the mutually exclusive outcomes of an event
  • Calculate relative frequencies and use them to calculate expected outcomes
  • Find probabilities for equally likely outcomes
  • Know which is the best graph or chart to use
  • Interpret data in a simple table
  • Interpret frequency tables
  • Group data in equal class intervals
  • Design and use data collection sheets
  • Complete a two-way table
  • Draw pie charts
  • Compare two simple distributions using range and median
  • Compare two simple distributions using range and mean
  • Calculate the mean from a simple frequency table
  • Know which is the best average to use and when to use range
  • Find range, modal class, interval containing the median and an estimate of the mean from a grouped frequency table
  • From a pie chart find the mode and total frequency
W3
  • Use a probability scale with words
  • Mark events on a probability scale
  • Interpret line graphs
  • Represent data in a table
  • Draw and interpret bar charts (including dual bar charts)
  • Draw pictograms
  • Calculate the mean, median, mode and range from a list of data
  • Find the modal class for a small set of grouped data
  • Compare two simple distributions using range and mode
  • Interpret simple pie charts
W2
  • Find the range of a small set of unordered data
W1
  • Find range from a set of ordered data