College Physics 1 Lab #4 Prelab 1Find the standard deviation for the following s

Question

College Physics 1 Lab #4 Prelab 1Find the standard deviation for the following set of data. Show work 3.10 m, 3.05 m, 2.92 m, 3.15 m, 3.08 m, 3.22 m, 3.02 m 2. What is the relative error (6A/A) in a calculation of the area of a rectangle if the length measurement is 2.24 cm with an uncertainty of.05 cm and the width measurement is 1.22 cm with an uncertainty of.03 cm? 3. Show the resulting calculated area including the uncertainty (A+8A). 4. What is the formula for relative error in acceleration for equation 2 in terms of St, t, (x-%) and (x-xo) using propagation of error?

Explanation / Answer

mean = x1 + x2 + .. + xn / n

mean of the given data = 3.1 + 3.05 + 2.92 + 3.15 + 3.06 + 3.22 + 3.02 / 7

mean = 3.07428 m

standard deviation = sqrt((x1 - mean)^2 + ... + (xn - mean)^2 / (n-1))

standard deviation = sqrt((3.1 - 3.07428)^2 + (3.05 - 3.07428)^2 + (2.92 - 3.07428)^2 + (3.15 - 3.07428)^2 + (3.06 - 3.07428)^2 + (3.22 - 3.07428)^2 + (3.02 - 3.07428)^2 / (7-1))

standard deviation = 0.09589

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