STATISTICS_PLS

STATISTICS_PLS - Department of Mechanical Engineering...

Info iconThis preview shows pages 1–14. Sign up to view the full content.

View Full Document Right Arrow Icon
Department of Mechanical Engineering STATISTICS ES 140 Section 5 Fall 2006
Background image of page 1

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

View Full DocumentRight Arrow Icon
Department of Mechanical Engineering Theory – Measures of Center Mode -the most frequent data point in a set Median -the middle score in the set Mean, Average, or Arithmetic Mean -the sum of the scores in the set divided by the number of scores Example: Set A: 12,34,36,42,52,54,68,72,81,93 Set B: 152,154,155,155,156,158,159,161,163,164
Background image of page 2
Department of Mechanical Engineering Mode The most frequent data point in a set (Hint: some sets have no mode) Set A: 12,34,36,42,52,54,68,72,81,93 Set B: 152,154,155,155,156,158,159,161,163,164
Background image of page 3

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

View Full DocumentRight Arrow Icon
Department of Mechanical Engineering Median The middle score in the set (Hint: if there are an even number of terms, use a value halfway between middle terms) Set A: 12,34,36,42,52,54,68,72,81,93 Set B: 152,154,155,155,156,158,159,161,163,164
Background image of page 4
Department of Mechanical Engineering Mean Average, or Arithmetic Mean -the sum of the scores divided by the number of scores Set A: 12,34,36,42,52,54,68,72,81,93 Set B: 152,154,155,155,156,158,159,161,163,164 Σ Set A =544 #scores=10 average A =54.4 Σ Set B =1577 #scores=10 average B =157.7
Background image of page 5

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

View Full DocumentRight Arrow Icon
Department of Mechanical Engineering Comparison of Measures SET MODE MEDIAN MEAN A None 53 54.4 B 155 157 157.7 Note: The different “center” values for a given set may not always be close to each other. e.g. SET C: 1, 3, 3, 59, 68, 76, 1000 C 3 59 172.86
Background image of page 6
Department of Mechanical Engineering Effect of outlying data The most important difference between the mean and the median is shown below. Observe what happens to a set of five scores when the largest one is made considerably larger: Set D: 12, 13, 23, 32, 43 Mean = 24.6 Median = 23 Set D Altered: 12, 13, 23, 32, 143 Mean = 44.6 Median = 23
Background image of page 7

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

View Full DocumentRight Arrow Icon
Department of Mechanical Engineering Measures of Variability Range Variance Standard Deviation
Background image of page 8
Department of Mechanical Engineering Range The difference between the smallest and the largest value Set E: 80 85 79 90 95 98 92
Background image of page 9

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

View Full DocumentRight Arrow Icon
Department of Mechanical Engineering Variance ( 29 ( 29 value Data data the of Mean points data of Number 1 Variance 1 2 2 = = = - - = = i n i i x n n x s μ Set E: 80 85 79 90 95 98 92
Background image of page 10
Department of Mechanical Engineering Variance Calculations ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 62 . 53 6 43 . 88 92 43 . 88 98 43 . 88 95 43 . 88 90 43 . 88 79 43 . 88 85 43 . 88 80 1 ) ( 43 . 88 7 92 98 95 90 79 85 80 2 2 2 2 2 2 2 2 1 2 2 1 = - + - + - + - + - + - + - = - - = = + + + + + + = = = = D n i i D n i i D s n x s n x μ
Background image of page 11

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

View Full DocumentRight Arrow Icon
Department of Mechanical Engineering Standard Deviation ( 29 ( 29 value Data data the of Mean points data of Number 1 Deviation Standard 1 2 = = = - - = = i n i i x n n x s μ Set E: 80 85 79 90 95 98 92 32 . 7 62 . 53 2 = = = D D s s
Background image of page 12
Department of Mechanical Engineering Interpretation of Standard Deviation If the values in a set are more "spread out" (i.e.
Background image of page 13

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

View Full DocumentRight Arrow Icon
Image of page 14
This is the end of the preview. Sign up to access the rest of the document.

This test prep was uploaded on 04/08/2008 for the course ES 140 taught by Professor Varies during the Fall '07 term at Vanderbilt.

Page1 / 42

STATISTICS_PLS - Department of Mechanical Engineering...

This preview shows document pages 1 - 14. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online