S3-1: Conduct investigations using the statistical enquiry cycle: gathering, sorting, and displaying multivariate category and wholenumber data and simple time-series data to answer questions; identifying patterns and trends in context, within and between data sets;communicating findings, using data displays.
The statistical enquiry cycle has five phases that relate to each other. Some enquiries follow these phases in sequence but often new considerations mean that a statistician must go back to previous phases and rethink. The phases are:
At Level Three students should be able to pose questions that they want to investigate, consider the appropriate data they need to collect, gather and sort the data in order to develop an answer to their question. The data involved should be multivariate so it should include many variables, for example gender, age, height, eye colour, bedtime, etc., so that relationships between the variables can be explored. Students should be able to ask summary questions (of a variable), for example what is the usual range in height for 10-year-old students?, comparison questions, for example are girls taller than boys?, and relationship questions, for example do older students go to bed later than younger students? Data displays, including tables and graphs, expected at Level Three are tally charts, frequency tables, pictographs, bar graphs, strip graphs, and pie charts for category data, dot plots and stem and leaf graphs for whole-number data, and simple line graphs for time series data. Students should be able to use computer technology to create these displays to find patterns, including trends over time, in data as well as to communicate their findings to others. They should be able to justify their choice of display/s with reference to the patterns they wish to highlight.
interpret data card information
create a graph
construct a hiistogram
use graphs to describe the data
make comments from a trendline
Students will:
- measure mass, angle, time, and speed
- find the relationships between mass, speed, and angle for a flying fox
- record data in tables and use graphical representations to interpret the results
- calculate average speed by dividing the distance travelled by the time taken.
Students should300
- Plan a statistical investigation.
- Display data in dot plots, strip graphs and bar charts.
- Discuss features of data display using middle, spread, and outliers.
create a back-to-back dot plot
make a conclusionn from the data
conduct an investigation and graph the results
- collect data in systematic ways
- make conclusions about what data shows in order to make informed decision
use mental strategies to calculate costs
calculate an exchange rate
Students will:
- measure and record data relating to two variables (the dependent variable is the mass of an ice cube; the independent variable is the type of clothing)
- use data to decide which clothing will best guard against hypothermia when tramping.
Students should discover that:
- they can use300
Students will:
- gather, sort, and display category, whole-number,and simple time-series data and communicate their findings through graphs
- estimate whole-school data.
Students should discover that:
- different representations suit different types of data
- sample data can be used to make predictions about the300
pose a question
sort and display data on a graph
make a conclusion from the data
find fractions of a whole number
construct graph
interpret a graph and match it to a description
Students will:
- use a protractor to measure angles
- interpret data displays and draw conclusions from graphs and tables
- investigate the relationship between season, latitude, and the angle of the Sun.
Students should discover that:
- daylight hours are a function of latitude – the lower the latitude, the300
create a time-series graph
interpret the features of the graph
compare two graphs
answer questions from graphs
pose a question and plan an investigation
collect data
display and analyse data
communicate findings from an investigation
use addition and subtraction to solve money problems
construct a bar graph
make conclusions based on the data
construct a pie graph
decide which graph best shows a viewpoint
show data on a graph or table
answers questions from graph or table
decide what graph best represents the data
pose questions suitable for a likert scale
show data on a graph
make a conclusion from the data
construct a table
construct a graph
interpret information from the graph
make conclusion from the data
create a tally chart
decide what chart or graph is best to answer questions from
create a bar graph
create a pie graph
construct a bar graph
interpret data from a graph
- Pose investigative questions for statistical enquiry.
- Plan for data collection.
- Collect data.
- Display collected data in an appropriate format.
- Describe data collected referring to evidence in displays.
- Make statements about implications or possible actions based on the results of an investigation.
- Make300