Math Relearning/Progressions/High School Statistics and Probability
These are my comments on the Common Core Math Progressions document Statistics & Probability: High School (PDF).
"Probability is presented as an essential tool" - Right up my alley. And I'm so glad I'm studying this now, because I somehow missed it in school. I did take a statistics course in college though. It was for psychology majors. It was also at 8 in the morning.
Interpreting categorical and quantitative data
"decide on the median or mean" - I've always wondered this. I probably learned it in college and forgot.
"accounting for possible effects of extreme data points" - I always wonder what to do with these. It sounds like there are ways of dealing with them that are more disciplined than the hand wringing I do. Honestly I feel like I'm guessing half the time I try to do anything meaningful with statistics.
"Perhaps a better (and simpler) model" - Fitting lines to data is a good example of the importance of learning about functions.
"always the possibility of a closer fit" - Does statistical software run through possibilities at least semi-automatically? It should.
Making inferences and justifying conclusions
"repeatedly drawing random samples of size 50" - Very interesting! I wonder if this technique has a name. I imagine there's a way to calculate the findings without actually drawing the samples.
"no extreme data points" - Is there a mathematical way to determine if a data point is extreme, if you can't quite tell by looking?
"re-randomizing" - Another interesting technique.
Conditional probability and the rules of probability
Using probability to make decisions
Where the Statistics and Probability Progression might lead
This is good info for students. I think probability and statistics is one of the most useful areas of math for the general population. So much human knowledge is statistical.