Juan makes a measurement in a chemistry laboratory and records the result in his lab report. The standard deviation of students' lab measurements is o = 10 milligrams. Juan repeats the measurement 4...

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Extracted text: Juan makes a measurement in a chemistry laboratory and records the result in his lab report. The standard deviation of students' lab measurements is o = 10 milligrams. Juan repeats the measurement 4 times and records the mean x of his 4 measurements. Step 1: What is the standard deviation of Juan's mean result? That is, if Juan kept on making 4 measurements and averaging them, what would be the standard deviation of all his x 's? Give your answer as a whole number. standard deviation: Step 2: How times must Juan repeat the measurement to reduce the standard deviation of x to 2? Give your answer as a many whole number. number of times repeating measurements:


Extracted text: Step 3: What is the advantage of reporting the average of several measurements rather than the result of a single measurement? Taking the average of several measurements eliminates sources of systematic bias, such as calibration errors. Taking several measurements has a greater uncertainty than just taking one measurement. The average of several measurements is more likely to be closer to the true result than a single measurement is.