Question

Assignment - Errors For each of the following sets of repeated measurements: a. Compute the mean, standard deviation, and estimated standard error of the mean. b. Check for the presence of any blunders. Reject any measurement containing a blunder and repeat the calculations in part (a). c. Choose an appropriate interval and plot a histogram for the errors. (1) (111) 472.36 m 472.29 472.31 472.34 472.35 472.30 472.33 472.27 472.34 472.30 (II) 1,148.217 ft 1,148.218 1,148.215 1,148.220 1,148.251 1.148.216 1,148.219 1.148.221 1.148.216 1,148.217 1,148.224 1.148.214 147°33'51" 147°33'58" 147°33'55" 147°34'02" 147°33'57" 147°34'56" 147°33'54" 147°33'57" 147°33'55" Type here to search RE E 02

Answer 1

Ans Measurements X, 22 N 10013 ny Values 472.36 m 472:29 472:31 47234 472:35 472:30 472:33 472:27 472:34 472:30 Ex=4723:19 Errors -0.041 1.697x10-3 0.029 9.41X70 0.009 8.1 y 10-5 -0.021 4.41 410 9.61 x 10-6 -0'031 Ov019 3.61 X/04 -0.011 1.21 10+ 0.04g 2.401 X10-3 -0.021 4.41 x 10-4 0.019 3061x1004 EV2 - 62.581 X10-4 76 12 27 roo ng xo 3 Mean = t = Σχ 4723-19 472:319m 4 n E920104 2 = x-x 472-319-472-36 = -0.04) 6 Standard deviation, r = E22 62:581x1004 + Vn-T 9 0.02 64 m Standard mean =t0-67450 in 0.0 264 E 1 0.6745 x -† 5.62 x 10 cm Vio If you can't explain it simply, you don't understand it well enough

3 5 5 14 27 1 22 3 72. (2) Measurements Values 1148.217ft 1148.218 1148:215 1148.220 1148.251 1148.216 1148.219 1148:22) 1148.216 1148.217 1148.224 1148.214 Xu x5 x6 x7 2019 FEBRUARI Errors (2) 30x10 0905 2 *10-3 5x10-3 2.5 %105 O -0.031 96.18 10-5 44103 1.6X105 0 x 10-5 0 x 10-5 4x10 1.6 x 10-5 3 x 10 0.9 x 10-5 -4X10- 1.6 x 10-5 3-6x10s 12 1x10-3 xo - 1x10-3 ng We -3 2014 xiz 6x103 Ex= 13778.648 ZV? 109.4 x 10 Mean - x = {x 13778648 12 1148:22 m Error Vn = x-xn 9, -ā-X ñ -a = 1148.22-1148.217= 3.66x103 Standard deviation, a = Eva 109.4 x 10-5 11 9.972 X10 Standard error of mean +0.6745070-6745 x 9.9727163 VI2 Life is 10% what happens to me and 90% of how I react to it. Charles Swindoli

3 AN 15 FRIDAY 16 23 2 22 22 FEBRUARY 2019 i E 3 +1.94 x 10 X5 is a Clearly rejecting blunder. Hence redo the calculation, it we Mean 1148:21.8.fli Measurements 22 3 6 IV 10-6 124 X2 12630.397 Il Errors ) | X10 0 3 3 X 70 - 2410 3 2 x 0 o 13 3 9x10-6 46 10-6 -- Хи x6 17 3 Xb Χο -6 4 x 10 1 X 10 -TX10-3 o 3 - 3 -3 X 10 2 X10 -3 1 x 10 -2 -6 x 10 4 x 10 - 3 9 x 10-6 4 x 10-6 L x 10-6 4X10 6 36 x la 212 16 x 10-6 { g²- 85x10 -3 Standard deviations (85x10-6 2.915 x 1077 -3 VI Standard Erres of mean, es 10'6745 x 2.915 x 10 € = £ 5.93 x 10 ft. -4 The two most important days in your life are the day you are born and the day you find out why. -Mark Twain

V 2 8 MAR 19 11 11 SATURDAY 2019 FEBRUARY 16 V? 9 1.13" 10 Rz xy 265 Blunder x Measurements Values Errent) 지 147°33'51" 5:13" 26317 147°53'58" 3.497 -7.87" 147°33' 55" 1.297 197034'02' -5.87" 34:457 147033'57" -0.87" 0.757 147° 34'56" 0.0148 Bundan GOPW Xy 147° 33'54" 2:13" 4.537 28 147° 33'5:7" -0.87" 0,757 ng 147° 33' 55" 1.13" 1.277 Ex= 1180°31'29" *42.876 Clearly no is blunder honce ignoring it. a Mean, u = En 1180°31'29" 147'33'56.13" n Vn x 3 TS 8 Error 4 Kn 2 Standard deviation EN? 72876 Vn- 9-1 6 r: 3.226" +0.67450 SUNDAY 17 Standard error of mean, e .. E= +0.6745 X V8 3.226 11 E = 10.769 Everything has beauty, but not everyone can sec. Confucius

049-316 • WK 08 1 " 2 9 7 2019 8 15 90 2 18 MONDAY FEBRUARY 13 20 27 2019 21 28 29 30 005 0:04 tve 0.03 9 002 Nee V₂ V6 001 lo Errons V3 Vy O of 19 Vq lah 002 vi 003 ave 0:04 0.05 HISTOGRAM FOR 2. ERRORS 4 5 6 Only two things are infinite, the universe and human stupidity, and I'm not sure about the former