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

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STATISTICS 13 STATISTICS 13 STATISTICS 13 Lecture 6 Lecture 6 Oct. 6, 2010 Oct. 6, 2010
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Review Effect of skewness on measures of center Measures of variability –R a n g
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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?
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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
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lec6 - STATISTICS 13 STATISTICS Lecture 6 Oct 6 2010 Review...

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