Answer:
Explanation:
a.) Average or mean value of readings, [tex]x_{o}[/tex] = (0.0044 + 0.0079 + 0.0062) / 3
= [tex]\frac{0.0185}{3}[/tex] = 0.0062 AU
b.) The accuracy of the readings is determined by taking determining the standard deviation (SD) of the readings:
SD = ∑ [tex]\sqrt{x- x_{o}}[/tex]/n
[tex](0.0062 - 0.0044)^{2}[/tex] = 0.0000032
[tex](0.0062 - 0.0079)^{2}[/tex] = 0.00000289
[tex](0.0062 - 0.0062)^{2}[/tex] = 0
SD = [tex]\frac{\sqrt{0.0000032 + 0.00000289 + 0} }{3}[/tex] = 0.00082.
c.) The % accuracy is the distance between the average value and true value
= [tex]\frac{0.0062-0.0030}{0.0030} *100[/tex] = 106.7% error.