5 - TEXAS A&M UNIVERSITY Statistical Data Analysis,...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
TEXAS A&M UNIVERSITY DEPARTMENT OF MECHANICAL ENGINEERING TEXAS A&M UNIVERSITY COLLEGE STATION, TX 77843-3123 979 845 1251 FAX 979 845 3081 1 of 17 R. Langari, 9/10/10 Statistical Data Analysis, Part II Problem: Consider the 200 point data set below (similar to that in Asgt #2). a. Compute the averages and standard deviations of the 1-10, 11-20, 21-30, . .. 191-200. b. Compute the first 10, the first 20, and the first 30, , and finally all 200 data points. 12 9 . 5 5 22 9 . 7 8 32 9 . 6 7 43 0 . 4 4 52 9 . 9 9 63 0 . 1 6 73 0 . 1 9 82 9 . 5 4 93 0 . 0 1 10 29.93 11 29.86 12 30.31 13 29.74 14 30.28 15 29.77 16 29.75 17 30.14 18 29.71 19 30.31 182 30.06 183 29.84 184 30.36 185 30.05 186 29.61 187 30.42 188 29.64 189 30.24 190 29.73 191 29.94 192 29.76 193 30.09 194 29.64 195 29.52 196 29.74 197 29.87 198 29.92 199 30.35 200 29.63 DEPARTMENT OF MECHANICAL ENGINEERING TEXAS A&M UNIVERSITY COLLEGE STATION, TX 77843-3123 979 845 1251 FAX 409 845 3081 2 of 17 Statistical Data Analysis, Part II R. Langari, 9/10/10 Problem. .. Let us compute the averages and standard deviations of the first 10, 20, 30, , and finally all 200 data points. The results are shown in the table below First 10 First 20 First 30 First 40 First 50 29.92 29.94 29.90 29.94 29.98 0.2938 0.2739 0.2494 0.2525 0.2575 First 60 First 70 First 80 First 90 First 100 29.97 29.96 29.94 29.96 29.96 0.2536 0.2449 0.2484 0.2598 0.2704 First 110 First 120 First 130 First 140 First 150 29.95 29.95 29.95 29.96 29.95 0.2711 0.2791 0.2803 0.2816 0.2792 First 160 First 170 First 180 First 190 First 200 29.96 29.95 29.95 29.95 29.94 0.2818 0.2801 0.2800 0.2812 0.2798
Background image of page 1

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

View Full DocumentRight Arrow Icon
TEXAS A&M UNIVERSITY DEPARTMENT OF MECHANICAL ENGINEERING TEXAS A&M UNIVERSITY COLLEGE STATION, TX 77843-3123 979 845 1251 FAX 409 845 3081 3 of 17 Statistical Data Analysis, Part II R. Langari, 9/10/10 Problem. .. Facts Theoretically, it takes infinite number of measurements to establish the true value of a quantity In practice, sufficiently large (say a 100 or so measurements) do converge towards the true value. Question How do we get a handle on the true value of the measured quantity using a finite number of measurements? 29.90 29.95 30.0 Set # First 10 First 20 First 30 First 50 First 100 First 200 DEPARTMENT OF MECHANICAL ENGINEERING TEXAS A&M UNIVERSITY COLLEGE STATION, TX 77843-3123 979 845 1251 FAX 409 845 3081 4 of 17 Statistical Data Analysis, Part II R. Langari, 9/10/10 Confidence Intervals Consider the Gaussian distribution shown below. px () 1 σ 2 π -------------- e x μ 2 2 σ 2 ------------------- = x μσ + μ 2 σ μ 2 σ + μ 3 σ 68% 95% 99% μ 3 σ +
Background image of page 2
TEXAS A&M UNIVERSITY DEPARTMENT OF MECHANICAL ENGINEERING TEXAS A&M UNIVERSITY COLLEGE STATION, TX 77843-3123 979 845 1251 FAX 409 845 3081 5 of 17 Statistical Data Analysis, Part II R. Langari, 9/10/10 Confidence Intervals. ..
Background image of page 3

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

View Full DocumentRight Arrow Icon
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 12/26/2010 for the course MEEN 260 taught by Professor Langari during the Fall '08 term at Texas A&M.

Page1 / 9

5 - TEXAS A&M UNIVERSITY Statistical Data Analysis,...

This preview shows document pages 1 - 4. Sign up to view the full document.

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