A group of five students attempted to estimate 100 g of a substance by balancing the amount of the substance with a 100-g standard mass and obtained the following masses after each estimated amount was weighed: 95.8634 g, 80.8125 g, 106.5078 g, 98.2865 g, and 86.4453 g. Create a data table as shown below and use the data to determine the answers to the following questions: Mass (g) Deviation (g) % Deviation Error (g) % Error a) What is the mean? And what is the true value? b) What are the deviation and % deviation from the mean for each value? c) What are the error and % error for each value?
A group of five students attempted to estimate 100 g of a substance by balancing
the amount of the substance with a 100-g standard mass and obtained the following
masses after each estimated amount was weighed: 95.8634 g, 80.8125 g, 106.5078
g, 98.2865 g, and 86.4453 g. Create a data table as shown below and use the data
to determine the answers to the following questions:
Mass (g) Deviation (g) % Deviation Error (g) % Error
a) What is the mean? And what is the true value?
b) What are the deviation and % deviation from the mean for each value?
c) What are the error and % error for each value?
Solution
It has the average:
Mean = (95.8634 + 80.8125 + 106.5078 + 98.2865 + 86.4453) / 5 = 93.5831 g
You have the deviation:
SD = 10.1045 g
Deviation percentage is calculated:
% SD = SD * 100 / average = 10.1045 * 100 / 93.5831 = 10.80%
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