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Physics I Lab Manual 2011 13

Physics I Lab Manual 2011 13 - EXPERIMENT 1 STATISTICS...

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Unformatted text preview: EXPERIMENT 1. STATISTICS measure is placed, or even changes in the length of the tape measure due to temperature changes. In any event, he can estimate the height of the bus more accurately than when he was guessing, but cannot eliminate the uncertainty. In this case he could report the height to be 2.903 m ± 0.002 m. While he could pursue the source of uncertainty further, it likely is not necessary, since he can now feel confident driving under the bridge that is 3.1 m high. The uncertainty in a measurement can be though of as a random error (and is often called the measurement error). Statistically, random errors have an average value of zero, so if we measure a quantity many times and average our results, the effect of the random errors is reduced and the uncertainty associated with the measurement is improved. When a quantity x is measured many times its average value ¯ x is given by a statistical property of the data called the mean , which is simply the average value. Specifically, if there are N measurements, which is simply the average value....
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