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NCEA Standard:
91944 Explore data using a statistical enquiry process (5 credits)
STEP ONE: CHOOSE A PURPOSE FOR YOUR INVESTIGATION
STEP ONE: CHOOSE A PURPOSE FOR YOUR INVESTIGATION
Possible contexts to investigate...
Possible contexts to investigate...
If you are stuck for ideas of what to investigate please have a read of the ideas below:
If you are stuck for ideas of what to investigate please have a read of the ideas below:
Who is the winner?
Choose a game that has a score or time to complete (and can be done quickly!). Compare your results to a friend OR consider the effect of practice - what's the relationship between the number of attempts and your score or time? Could be a mobile game, computer game, memory cards...
Trademe investigations
Cars: the relationship between the age of something and its cost, or odometer reading and cost, or compare two different models or fuel types (hybrid vs petrol) etc
Property: comparing different suburbs, or land area vs cost
Physical experiments
The relationship between your distance from the hoop and the accuracy of getting your shot in
The relationship between your angle from the goal and the accuracy of getting your shot in
Toy car experiments - ramp height vs distance travelled, or comparing different cars, or...
Describe the context for your report and what you are setting out to investigate. Include your specific statistical question(s):
Does <the variable for one group> tend to be higher than <the same variable for a different group> for <a particular population>?
What is the nature of the relationship between <one variable> and <another variable> in a specific context?
How has <variable> changed over time in a specific context?
An appropriate comparison question is posed which identifies the population involved, the groups to be compared, & the variable for comparison. The possible direction of comparison is indicated.
or
An appropriate relationship question is posed which clearly describes the two numeric variables. A hypothesis is given of what you are expecting to find in your analysis.
or
An appropriate time series question is posed which clearly describes the variable to be investigated over time, including the timeframe and context.
📈 STEP TWO: Plan your investigation
📈 STEP TWO: Plan your investigation
Describe how you will collect data and manage sources of variation for your relationship investigation
Get your plan to collect data checked by your teacher.
You will provide a plan for finding or gathering data (this may include sample size, number of measures, basic procedure). Note: The teacher should check your plan before you proceed!
Describe all variables, including units. Include how you have considered sources of variation and managed them in the investigation.
📈 STEP THREE: Collect your own data
📈 STEP THREE: Collect your own data
Carry out your data collection plan, collect your data - this may be done in a group
Graph your data using CODAP. Paste the graphs into CODAP, into your Poster or Report document
This may include:
a box plot and one other graph that shows more distribution detail for your comparison investigation
a correctly labelled scatter graph, which may be colour coded by another variable to help explain features or sources of variation
a correctly labelled time series graph for your time series investigation
📦📈 STEP FOUR: Data analysis
📦📈 STEP FOUR: Data analysis
Compare your box and whisker plots - consider centre, shape, overlap, shift, spread, middle 50%, unusual or interesting features.
Describe your scatter graph - consider type of trend, association, strength of relationship, scatter, outliers and groups
Describe your time series graph - consider long term trend, short term features and variability
Statements that describe the sample distributions are made - at least three comparative features of the sample distributions have been identified and there is strong linking between the observations, context and any statistical considerations
The strength and direction of the bivariate relationship are described in context
Short and long term features of the variation over time are described in context
📦📈 STEP FIVE: Conclusion
📦📈 STEP FIVE: Conclusion
Make a call about whether you think there is enough evidence of a difference shown by your box plots
Summarise the strength and direction of the relationship shown in your scatter plot(s), and compare it to your original hypothesis
Summarise the features of your time series plot(s) , and compare to your original hypothesis
Evaluate your plan - did everything go to plan? what changed? what other data might you be interested in if you carried out this investigation again?
Makes a correct informal inference (using the 3/4 - 1/2 rule) about the population from the sample data that shows an understanding of sampling variability and of the context
The question is answered with contextual insight and linked to the purpose or original hypothesis.
The plan may be evaluated in terms of reliability of data, sources of variation evident in the analysis and recommendations for further investigation may be suggested.
EXEMPLAR
Excellence example - comparison investigation
Excellence example - comparison investigation
Excellence example - relationship investigation
Excellence example - relationship investigation
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