calculate the standard deviation in the measured Mass of the empty stoppered fla
ID: 714165 • Letter: C
Question
calculate the standard deviation in the measured Mass of the empty stoppered flask (see appendix: Mistakes, Errors, Accuracy, and Precision).
Some Measurements of Mass and Volume Student name: Team members: Date Course: Section: Instructor: Results 1. Using the analytical balance utato 44.2 Mass of the stoppered flask (g) 141 Mean mass (g) Calculation 2. Using the pipet Temperature (C) Addition No. Mass after addition (g) 3 s8 before addition (g) Mass of added water (g) 4hoo …a 4-a-... -case-tyill. -....-LO.Zl 9.32 10 Density of water (g/mL) 10 Volume of water delivered each time (mL) Mean volume (ml) CalculationsExplanation / Answer
The data for the second part of the problem is wrong; the density of water has a maximum value of 1 g/mL. Therefore, you cannot have a density of water as 10 g/mL.
I will work out the standard deviation of the results for the first part.
Mean mass of the stoppered flask = ¼*(44.4 + 44.1 + 44.2 + 44.3) g = 44.25 g
Standard deviation of the mass of the stoppered flask = [{(x – xmean)2}/(n – 1)]
where x denotes the individual measurements and xmean is the mean of the measurements; n is the number of measurements. We have n = 4; therefore,
standard deviation = [{(44.4 – 44.25)2 + (44.1 – 44.25)2 + (44.2 – 44.25)2 + (44.3 – 44.25)2}/(4 – 1)] g
= (0.05/3) g
= 0.0166 g
= 0.1290 g
0.13 g
The standard deviation of the mass of the stoppered flask is 0.13 g and the mean mass of the stoppered flask is 44.250.13 g (ans).
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