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For more information, please see full course syllabus of AP Statistics

For more information, please see full course syllabus of AP Statistics

1 answer

Last reply by: Sandahl Nelson

Wed Jan 4, 2017 4:16 PM

Post by Firebird wang on October 12, 2016

Ms.Nelson, are you able to watch this two video which called Practice Test 2013 AP Statistics and Practice Test 2014 AP Statistics? I can't watch this two video, I dont know why.

3 answers

Last reply by: Sandahl Nelson

Wed Jan 4, 2017 4:15 PM

Post by Sandahl Nelson on February 25, 2016

Hello,

The population variance measures the variation from Mu (population mean), so we divide by N (capital N because it is the the whole population)

The sample variance is used as an estimate for the population variance, but is actually the variation from X-bar (sample mean), so we divide n-1 (small n because it is the size of just the sample) to correct for the fact that we only use the variation around x-bar.

In other words, we subtract 1 because the sample variance is an estimate of the variance of the population from which we draw the sample. Because the values in the sample will be (on average), closer to the sample mean than to the population mean, when we calculate variance using deviations from the sample mean it underestimates the variance of the population. Using n-1 instead of n as the divisor corrects for that.

1 answer

Last reply by: Sandahl Nelson

Wed Jan 4, 2017 4:13 PM

Post by Xiaming Jin on February 22, 2016

I still don't understand what's the difference between the sample variance and the population variance, why sample variance should divide (n-1) instead of n??