The volume of a rock is measured by placing the rock in a graduated cylinder partially
Chapter 3, Problem 15(choose chapter or problem)
The volume of a rock is measured by placing the rock in a graduated cylinder partially filled with water and measuring the increase in volume. Eight independent measurements are made. The average of the measurements is \(87.0 \mathrm{~mL}\), and the standard deviation is
\(2.0 \mathrm{~mL}\).
a. Estimate the volume of the rock, and find the uncertainty in the estimate.
b. Eight additional measurements are made, for a total of 16. What is the uncertainty, approximately, in the average of the 16 measurements?
c. Approximately how many measurements would be needed to reduce the uncertainty to
\(0.4 \mathrm{~mL}\)?
Equation Transcription:
Text Transcription:
87.0 mL
2.0 mL
0.4 mL
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