Statistics Assessments

Title (Assessment)Summary of contentCalculator requiredPrintable Answer sheet
Sample Space Assessment- Decide on what data and analysis may be required for a problem
- data collection
- Understand the implications of different sizes of samples
Sampling Assessment- Identify what data is needed
- Consider fairness of a survey
- Understand sample and population Understand random sampling
- Calculate numbers needed for stratified sampling
Tables, lists and two way tables Assessment- Extract data from tables and lists
- Design two-way tables
- Complete a two-way table
Bar Charts Assessment- Draw and Compare Bar chart
- Draw and Compare Dual Bar charts
Pie Charts Assessment- Draw and Compare Pie Charts
- Understand and find information from pie charts
Histograms Assessment- Histogram with equal class intervals
- Histograms with unequal class intervals, using frequency density
- Find the median or other information from a histogram, for example the number of people in a particular group
- Understand and define frequency density
- Complete a frequency table from a histogram
Frequency Diagram Assessment- Draw Frequency diagram for grouped discrete / continuous data
- Find information from line graphs and frequency diagrams
Scatter Graph Assessment- Draw Scatter Graphs and Line of Best Fits
- Understand and find information from scatter graphs
- Explain an isolated point on a scatter graph (outliers)
- Understand that correlation does not always imply one thing causes the other
- Predict values using a line of best fit, Understand that 'no correlation' does not necessarily mean no relationship between the values, just no linear relationship
Cumulative Frequency Diagrams Assessment- Find median, quartiles and interquartile range from a cumulative frequency graph
- Understand and find information from cumulative frequency diagrams
- Estimate values and find median, quartiles and interquartile range from a cumulative frequency graph
- Compare spread using box plots or cumulative frequency graphs
Frequency Tables Assessment- Find mean, median, mode, estimated mean using a Frequency Table
Pictograms Assessment- Draw and Interpret Pictograms
Conversion Graphs Assessment- Draw and Interpret Convesion Graphs
Line Graphs Assessment- Draw and Interpret Line Graphs
Box Plots Assessment- Draw Box plots (from raw data, or when given the median and quartiles
- Understand and find information from box plots
- Compare spread using box plots or cumulative frequency graphs
- Find median, quartiles and interquartile range from a box plot
Averages Assessment- Calculate Mean, Mode, Modal Class, Median, Range, Interval containing Median
- Estimate the mean of grouped data using mid-points of intervals
- Find median, quartiles and interquartile range for grouped data
Real Life Graphs Assessment- Understand and Interpret real life Graphs
Probability language & the probability scale Assessment- Impossible, unlikely, even chance, likely and certain events
- Mark events or probabilities on a 0 to 1 probability scale
- Write probabilities as fractions, decimals or percentages
Probability Assessment- Understand that the sum of all the mutually exclusive outcomes is 1
- Know that if P is a probability of an outcome occurring, then 1 - P is the probability of the same outcome not occurring
- Fill in a missing probability in a table
- Know and use the fact that, for mutually exclusive events, P(A OR B) = P(A) + P(B)
- Find probabilities of events using dice, spinners, coins
- Understand and use relative frequency as estimates of probability
- Calculate an estimate of how many times an event will occur, given its probability and the number of trials
- Compare experimental data with theoretical probability
Tree diagrams Assessment- Draw a probability tree diagram
- Calculate probability of compound events from a tree diagram
- Know that, for independent events, P(A AND B) = P(A) x P(B)
- Understand the difference in calculation for selection of an object with or without replacement
- List the outcomes for one or two events,
- Use and draw diagrams to show all possibilities