# lec6 - STATISTICS 13 STATISTICS Lecture 6 Oct 6 2010 Review...

This preview shows pages 1–5. Sign up to view the full content.

STATISTICS 13 STATISTICS 13 STATISTICS 13 Lecture 6 Lecture 6 Oct. 6, 2010 Oct. 6, 2010

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Review Effect of skewness on measures of center Measures of variability –R a n g
Some Properties Standard deviation and variance are always nonnegative They are zero if and only if all measurements are equal If each measurement is multiplied by a constant c, then mean of the transformed measurements is c times the original mean; while standard deviation of the transformed measurements is |c | times the original standard deviation If a constant c is added to each measurement, then mean of the transformed measurements is c plus the original mean; while the standard deviation of the transformed measurements equals the standard deviation of the original measurements What happens to median, IQR, range and variance?

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
1 ) ( 2 n x x s i x n n x c y x c y * ,..., * 1 1 n x x ,..., 1 Formula for sample standard deviation: for n measurements, the standard deviation is defined as : If ,then ; and If , then ; and x i i y s c n x c x c n y y s * | | 1 ) * * ( 1 ) ( 2 2 c x y c x y n n ,..., 1 1 x i i y s n c x c x n y y s 1
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 17

lec6 - STATISTICS 13 STATISTICS Lecture 6 Oct 6 2010 Review...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online