2. Express the number 500 cm so it is clear that there are only two significant figures.

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2. Express the number 500 cm so it is clear that there are only two significant figures.
5.0 x10?
Problems
1. The mass of a gold coin was measured three times and each measurement was made to five digits.
The mass values were 23.319 g, 23.341 g, and 23.296 g. The average mass was reported as 23.32 g–The
actual mass of the coin is 25.5631 g.
a. Are the measurements precise? Explain your answer.
b. At what place value is the repeated measurement no longer reproducible (uncertain)?
c. Why is the average mass of the gold coin reported to only four significant figures?
d. Are the measurements accurate? Explain your answer.
acce
e. What is the accuracy (percent error) of the average of the three measurements?
f. Why is the following statement not considered a description of accuracy?
"The differences between each measurement is small, so the data is really accurate".
Transcribed Image Text:2. Express the number 500 cm so it is clear that there are only two significant figures. 5.0 x10? Problems 1. The mass of a gold coin was measured three times and each measurement was made to five digits. The mass values were 23.319 g, 23.341 g, and 23.296 g. The average mass was reported as 23.32 g–The actual mass of the coin is 25.5631 g. a. Are the measurements precise? Explain your answer. b. At what place value is the repeated measurement no longer reproducible (uncertain)? c. Why is the average mass of the gold coin reported to only four significant figures? d. Are the measurements accurate? Explain your answer. acce e. What is the accuracy (percent error) of the average of the three measurements? f. Why is the following statement not considered a description of accuracy? "The differences between each measurement is small, so the data is really accurate".
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