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 many times must Juan repeat the measurement to reduce the standard deviation of x to 2? Give your answer as a whole number. number of times repeating measurements:

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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:
Transcribed Image 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:
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.
Transcribed Image 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.
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