HW1 Sol Phys 375 F10

# HW1 Sol Phys 375 F10 - Phys 375 HW 1 Fall 2010 Problems Due...

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Phys 375 HW 1 Fall 2010 Problems Due 13 September, 2010 1. Error analysis . For the following list of data, calculate (“by hand” – i.e. use a calculator and show your work) the mean, mode, median, standard deviation, variance, and standard deviation of the mean. Please do the analysis “by hand” – just this once. {7.127, 7.125, 7.041, 6.963, 7.125, 6.820, 7.027, 6.843, 7.067, 7.084} a) mean = (7.127+7.125+7.041+6.963+7.125+6.820+7.027+6.843+7.067+7.084)/10 = 7.022 b) mode – 7.125 since it occurs twice c) median - arrange the above list in order. Half (5) of the data points should be less than the median and 5 should be greater. Thus we take the mean of 7.041 and 7.067, finding 7.054. d) std. deviation - 2 1 2 ) ( 1 1 = = x x N N i i σ = 0.1148/9 = 0.0128 so σ = 0.113 e) std. deviation of mean - N = 0.036 2. Error propagation . You are trying to determine the acceleration due to gravity g by measuring the period of a pendulum, T , of length L using the relation

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## HW1 Sol Phys 375 F10 - Phys 375 HW 1 Fall 2010 Problems Due...

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