Error Analysis Lab Report

Error Analysis Lab Report - Error Analysis Lab Report...

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Error Analysis Lab Report Physics 11411, Lab 1 August 27, 2010 Patrick Mooney Lab Partners: Kyle Broflowski Purpose: We are asked to determine how many drops of water a bucket of water can hold. This can be useful if one wanted to know how much bacteria is in a bucket of water if given the number of bacteria per droplet of water. Background: The measurement of the mass of the water can normally be used by simply weighing the water on a scale and measuring how much that weighs minus whatever the container’s mass is. However, this method doesn’t affirm that the scale is statistically precise, and so, one must weigh such a mass of water multiple times and find the mean of those numbers. To find the mean, one must use the formula x = = 1Ni 1Nxi , where N is the number of trials done. The mean is only an estimate, however, and there will be a statistical uncertainty or error associated with it. To find the error, one must first find the standard of deviation, which can be found with the formula sx = (( - ) = ( 1N 1 i 1N - x ) xi 2 ), where N is the number of trials and x is the mean. The error on the mean is then simply σx = sxN . This gives us the mean and the error on that mean for an individual measurement. When combining measurements using mathematical operations, one has to find the uncertainty on the new value. For instance, if two individual measurements A and
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Error Analysis Lab Report - Error Analysis Lab Report...

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