A flow meter is a device used to measure the volumetric flow rate (volume/time)

Question

A flow meter is a device used to measure the volumetric flow rate (volume/time) of a liquid or gas flowing in a pipe. To calibrate a flow meter for liquids you can collect the liquid flowing out of the pipe for a certain amount of time and measure it's volume. You are calibrating a flow meter with water flowing through a pipe and the meter reads 2000 gpm (gallons per minute) to the nearest 10 gpm. You allow the water to flow into a large cylindrical tank with a diameter of 10 meters for 10 minutes and then measure the change in depth of water in the tank. You repeat this measurement 10 times to obtain the following data: What is the mean flow rate (in gpm) for this set of measurements and what is the standard deviation of the measurements (in gpm)? Is the meter accurate at this reading within its uncertainty (10 gpm)?

Explanation / Answer

First calculate Mean = 1/n * sum of all elements so mean= 96.3 Calculate Variance= 1/n * sum of squares of ( element-mean) so variance= 1.61 Now Standard Deviation= suqare root of variance so SD= 1.26

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