Logger Pro Software needs to be installed on your computer to complete this assi

Question

Logger Pro Software needs to be installed on your computer to complete this assignment. Links to install Logger Pro provided on the Master Site. A student measured with Vernier caliper the necessary dimensions of the 3D rectangular wood object to calculate object's volume and propagate its error. The Vernier caliper is precise to 0.05 mm. so many of the measurements gave the same results. Each dimension was measured 6 times. The collected data is provided in table below. Table 1: Rectangular wood object Enter the acquired data in Logger Pro. Use Logger Pro to find the mean value of each dimension and the standard deviation of measurements (STAT function). Be sure all the columns are labeled correctly with the units. Insert below the print screen of the graphs made in Logger Pro. (Add space if needed) Using the standard deviation obtained in Logger Pro in the above question, calculate below the standard error for each dimension (standard deviation of the mean). Type the equation used to find standard deviation of the mean. (Add space if needed) Calculate object's volume and propagate the standard (random) error in volume. The standard error will propagated through the random error in each of the dimensions. Use partial derivative approach to propagate the error. (Watch introduction video for Lab 1: Error propagation, results. discussion). Below, be sure you type the equations used and show numbers that are plugged in. (Add space if needed) In the correct format report final in centimeters cube.

Explanation / Answer

I have solved this on Excel as I don't have a Logger Pro software.

Hope this would help.

The mean value of the volume can be taken as the final answer.

Ask if you have any doubts.

Width Height Length Volume 49.10 24.60 102.00 123201.720 49.20 24.70 102.15 124136.766 49.10 24.90 101.90 124581.921 49.10 24.90 102.00 124704.180 49.05 24.60 102.15 123257.255 49.10 24.90 102.15 124887.569 Width Height Length Volume Mean 49.10833 Mean 24.76666667 Mean 102.0583 Mean 124128.2 Standard Error 0.020069 Standard Error 0.06146363 Standard Error 0.043621 Standard Error 301.7306 Standard Deviation 0.04916 Standard Deviation 0.150554531 Standard Deviation 0.106849 Standard Deviation 739.086 Sample Variance 0.002417 Sample Variance 0.022666667 Sample Variance 0.011417 Sample Variance 546248.2 Count 6 Count 6 Count 6 Count 6

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