Question

3. A set of independent current measurements were taken by six observers were recorded as 12.8A, 12.2A, 12.5A, 13.1A, 12.9A and 12.4A .ca (a) The arithmetic value mean. (b) The deviations of the mean. (c) The average deviation. (d) The standard deviation and, (c) The variance

Answer 1

3) given independent Current measuremenila tere 12.8A, 12.21., 12.5A, 13.14, 12.9 A and 12.4A 23 24 Xg 26 2, 12 man (a) +7 aistremetic value of + (i) Means X, 4X₂ + x₂ + ty +Xg+26+ n whene n = the number values m = 6 .airtsumetic value of tacan 12.8+ 12.2+12.5+13.1+12.9+12.4 6 Mean (1) 12.65 A b) (Xi- 0.15 Deviations of the mean e/X; - al (21) [1; ) I, 12.8 12.8-12.65= 0.15 12= 12.2 12.-12.65 -0.45 0.45 0-15 12.5-1265 : -0.45 X z = 12.5 = 0.45 0.45 13:1-12-65 1: 131 / 0.25 12.9-12-65 : 0:25 is: 12.9 0.25 lyo 12.4 12.4-12.65 -0.25 the deuation Querage Elar-el n 0115 +0.45 +0.15-0.45+0.25+0.25 6 . aurage duration 0.283

d) Standard deviation {(xi-2² 7) (0:15)2+(0.45)++ (0.15)+60.45)*+00.25)*+6012934 Ge 0-309 {(x-7)? Variance Sa 00:15)*+(0.45)*76015) +(045) * 4 (0,25*+(0.25) (6-1) So 0.339