How many significant figures does this number contain? 96504000 has significant

Question

How many significant figures does this number contain? 96504000 has significant figures Please use a single decimal number (0, 1, 2, 3, ..) for your answer. Length is measured as 9550[cm] plusminus 70[cm]. What is the measurement uncertainty? Length is measured as 9550[cm] plusminus 70[cm]. What is the relative uncertainty? Length is measured as 9550[cm] plusminus 70[cm] What is the relative uncertainty as a percentage? (Please note: is already entered for you. Simply enter the decimal answer.) Average Length is calculated from 40 measurements as 9583[cm], but the standard deviation is sigma = 700[cm]. What is the proper way to report the average measurement? Length cm

Explanation / Answer

a)

96504000 had 5 significant figures. A significant figure is any non-zero digit or any embedded or trailing zero

b)

Measurement uncertainty ±70 cm

c)

Relative uncertainty = Dx/x

So, 70/9550 = 0.0073

d)% Relative uncertainty = (Dx/x)*100%

so, we have 0.73%

e) The standard deviation in the mean is 700/sqrt(40)=110 cm.

So mean = 9600 ± 100 cm.

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