MATH 2233 Lecture Notes - Lecture 4: Squared Deviations From The Mean, Total Variation, Standard Deviation

66 views11 pages

Document Summary

Variation: a measure of how far the sample values are from their central value. Here are some that are commonly used: total variation or total sum of squares (ssto or ssxx): 2x: the sample variance (s2) (the average value of the total variation): Note that in calculating the average here we divide by n - 1 rather than n. it turns out that a sample variance defined this way has better statistical properties. {3. 2, 3. 2, 3. 2, 3. 2, 3. 2} , population mean: = 3. 2. Why study variation? (a) consider a population of babies" birthweights with no variation: Then for a sample of size 3, say {3. 2, 3. 2, 3. 2} the sample mean (estimate of ) is (b) consider a population of babies" birthweights with variation: {3, 4, 2, 5, 3, 1}, population mean: = 3. Then for a sample of size 3, say {5, 1, 4} the sample mean (estimate of ) is.

Get access

Grade+20% off
$8 USD/m$10 USD/m
Billed $96 USD annually
Grade+
Homework Help
Study Guides
Textbook Solutions
Class Notes
Textbook Notes
Booster Class
40 Verified Answers
Class+
$8 USD/m
Billed $96 USD annually
Class+
Homework Help
Study Guides
Textbook Solutions
Class Notes
Textbook Notes
Booster Class
30 Verified Answers

Related textbook solutions

Related Documents