Statistics 17/ 10 / 17
Statistics helps us to make sense of the world by gathering and processing information. It should be informative. It is an investigation to see change from data. Statistical responses should have a purpose to it. Statistical investigation drives the data. Data drives a response.
Statistics is not just about statistical features, its about what we will do with the information (eg. taking an action). Statistics helps us to make an informed decision.
Students need to learn how to collect information efficiently in a way that fits the purpose.
Understanding how statistics are generated and the kinds of messages they can represent allows the children to critically examine
More or Most
We have to get children to work between More and Most
More is comparing part to whole. Most is comparing part to part.
Pie charts
Tally charts is the data collection tool and not the representation.
Tally charts is used for the organisation of the information.
Do activities that are physical. Make it real. We want to give children access to these ways of thinking. This is classic Piaget - Concrete literal before the Symbolic abstract.
Ways of modelling tally could be to take a coloured sticks and rearrange ...
Probability
One the real important ... Probability should arise from Statistics.
We predict is a statement made about probability. Probability decisions are made from data information.
What if...?
What is the likely-hood...?
What would we see if we went again?
Probability is in response to things that have happened.
Is it possible ...? Students are deducing
Students need to experience variation and know that it is normal and acceptable. Variability is normal. What you get is what you get. For example flip a coin 100 times what is the probability of getting 50% Heads and 50% tails the average is 7.8%.
Counter intuitive
Basing a probability decision on statistical facts is good.
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