Explain why a systematic error can’t be corrected for by taking the mean of many readings.?

1 Answer

Answer :

I don’t understand the relevance of the image to the question. However, your basic idea seems to be close to the correct idea. A “systematic” error is in contrast to “random” error, in that a systematic error will always trend in one direction. For instance, to take a very simple example, let’s say you’re measuring something with a ruler. Systematic error would occur if your ruler was inherently flawed. Let’s say it got melted on a hot day, and ended up longer than it should be. An “inch” on your ruler is now 1.1 inches. You’re measure the same object 5 times , and get the following information from your flawed ruler: 10.7 inches 11.1 inches 11.0 inches 11.3 inches 10.9 inches The mean of these five measurements is 11. However, due to the systematic error from the stretched ruler, you would be off, but have no way of knowing this (in this example, of course, the object would “actually” be 10 inches long.) With random error, taking the mean can help narrow in on the correct answer within a data set. Random error occurs equally in all directions from the “true” value that you are trying to measure. If you measured the same object 5 times with a ruler that had no inherent systematic error (a good ruler), you could get the following data: 9.9 10.2 10.1 9.8 10.1 Taking the mean of these results gets you 10.02, an answer very close to the “true” value of 10.0. note: i deliberately did not allow the fake data set to result in a perfectly “true” answer. In any experiment, you are likely to end up slightly “off” of what the actual value should be. This is why scientists must account for their estimated error using various statistical tools

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