Question:

# 26% 4 + Adrive.google.com 9:10 PM Wed Sep 8 x Lab Documents - G... AA Loading Rounding Numbers.... Documents, Syllab Par Lab 1 E 26% 4 + Adrive.google.com 9:10 PM Wed Sep 8 x Lab Documents - G... AA Loading Rounding Numbers.... Documents, Syllab Par Lab 1 Error Analysis pdf Axav=o/VN Uncertainty In the Mean (Axml Uncertainty in the mean value of x. The actual value of x will be somewhere in a neighborhood around. This neighborhood of values is the uncertainty of the mean. X = X AX vg Measured Value The final reported value of a measurement of x contains both the average value and the uncertainty in the mean Most of the time we will be using the formulae for small data sets. However, occasionally we perform experiments with enough data to compute a meaningful standard deviation. In those cases we can take advantage of software that has programmed algorithms for computing Xavg and o > < Experimental Data: The following data were taken for a pendulum with a length of 121 + 1cm. The data in the left column were measurements of individual periods. The data in the right column were for the time it took for 10 oscillations of the pendulum. Period (s) 1.98 2.22 2.00 2.13 2.16 2.15 2.10 2.28 2.41 2.19 Ten Periods (s) 21.92 22.38 22.11 22.00 21.89 Use the appropriate error analysis method and determine the mean, the uncertainty in the mean and the uncertainty in the measurements for each set of data. Given that the period of a simple pendulum is given by: T = 27V(L/g) Where L is the length of the pendulum and g is the acceleration due to gravity, determine which method provides the best precision and which the best accuracy. The same set may do both. Page 6 / 7