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Statistical analysis in sixth grade
Down-to-earth approach to advanced questions

In a sixth grade advisory, student shared puzzle pieces decorated with personal symbols.
 
A student had used three flags to represent his ethnicity.
 
Not everyone recognized the third flag.
 
That's the English flag, he explained, then moved on.
 
In a fourth grade classroom, they had been discussing flags.
 
They were able to explain the difference between an English flag and the flag of Great Britain.
 
It turned out the classic "Union Jack" is based on each of the United Kingdom's flags, laid upon one another.

 
Back in sixth grade, students had moved on to statistical analysis.
 
Their homework had been to determine the mean average height of the students in the class.
 
First came a review of the difference between mean average and median, with a brief discussion of highway medians and the difference between white road stripes and yellow ones.
 
The worksheet had exercised a number of skills, asking students to record their guesses before they made measurements, and having them explain what their guesses were based on.
 
The question of what constitutes a good guess kept coming up.
 
Students reported in their answers.
 
Suddenly it looked like a multiple-choice question.

 
Which choices could they eliminate right away?
 
It was a question equally relevant on standardized tests and Who Wants to Be a Millionaire?
 
One guess was way off.
 
Or was it?
 
Was it sixteen times too big, or just one step away from the correct answer?
 
All the time, the teacher kept feeding them a new vocabulary for what they were doing.
 
A student who had diagnosed one incorrect answer sat up a little straighter when he heard he was "performing error analysis."
 
Another student didn't simply need to speak up; she needed to "demonstrate more confidence in her mathematical prowess."
 
A question about decimal places led to a discussion of the difference between "precise" and "accurate" and, again, when a good guess is just as useful as an exact result.
 
Eventually they moved on to another way to represent the height of the class as a whole: the bar graph.
 
They were less than one hour into the second day of the year.
 
It's going to be a big one.

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