Students will “compare the averages of summary statistics from a large number of samples to the corresponding population parameters.”

–GPS MM1D3.b

Thoughts on what this would look like?

Students will “compare the averages of summary statistics from a large number of samples to the corresponding population parameters.”

–GPS MM1D3.b

Thoughts on what this would look like?

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One example might be:

A group of students weighs 500 US pennies and finds that the pennies have a mean weight of 3.1 grams. (This would be the population mean.) Then the students take different size samples from the 500 pennies (say, samples of 20 pennies each), and finds the mean weight of the samples. Then they can compare the mean weight(s) of the samples to the mean weight of the population.

A better idea instead of means of weights (which will be very very similar) would be to use means of dates.

I have a bucket of pennies in my room that I know the mean age of. The bucket has approximately 400 pennies, and the mean age is 1989 (please don’t ask how I know. It is painful and took me a week!). I have my learners take a sample of 5, find the mean of the sample, and put a sticky note on a scale.

Then take a sample of 10, repeat. Each sample is with replacement, so they take 5, record, put them back, shake for the next person. Take 10, record, put them back, shake for the next person.

It takes a bit of time, but everything you need to learn about the Central Limit Thm in Stats can be learned from my penny bucket.

I absolutely used the penny idea and think it helped the kids understand the concept. Thanks!

It means the person who wrote this standard is an idiot. If a college educated and certified math teacher cannot understand the standard then they are not writing to their audience. She should ave chosen a simpler way to express the idea they wanted to communicate.