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Figure 7.1 (a) presents two data sets. Which of the data sets is more precise?
Figure 7.1 (b) presents the indirect measurement of the mass of sugar with a scale that always read 0.50 too low. A researcher obtains the mass of a beaker to be 50.62 g with the scale. Thereafter, she added some sugar to the beaker and obtain a total mass of 69.88 g using the same scale. The mass of sugar she calculated is 19.26 g. Is the error in the measurement of the mass of sugar 0.50 g?
The strings:
S7P2A21 (Identity - Physical Property).
The math:
Pj Problem of Interest is of type Identity (physical property). Measurement seeks to identity the value of the entity being measured.
(a)Range (max value - min value) of data set 1 = 73.34 - 72.75 = 0.59
Range of data set 2 = 72.01 - 71.98 = 0.03
Data set 2 is more precise because it has the lower range.
Precision indicates how close a set of measurements are to one another, irrespective of whether the measurements are correct.
(b) Mass of beaker (error of scale taken into account) = (50.62 + 0.50) g
Mass of beaker plus sugar (error of scale taken into account) = (69.88 + 0.50) g
Mass of sugar = (50.62 + 0.50) - (69.88 + 0.50) = 19.26 g
Mass of sugar is not inaccurate by 0.50 because error of scale cancels out.
Accuracy indicates how close a measurement is to the true or correct value.
The point . is a mathematical abstraction. It has negligible size and a great sense of position. Consequently, it is front and center in abstract existential reasoning.
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