Question

A laboratory instructor gives a sample of amino-acid powder to each of four students, I, II, III, and IV, and they weigh the samples. The true value is 8.72 g. Their results for three trials are:
I: 8.72 g, 8.74 g, 8.70 g II: 8.56 g, 8.77 g, 8.83 g
III: 8.50 g, 8.48 g, 8.51 g IV: 8.41 g, 8.72 g, 8.55 g
(c) Which set of data is both the most accurate and the most precise?

Answer 1

According to the calculation, set I is both the most accurate and most precise.

Exactness is a quality or state of being precise. 2a: comparison accuracy sense: the degree of precision with which an action is carried out or a measurement expressed 2b. The novel was fact-checked for historical authenticity. 2a: conformance to truth, to a standard, or to a model: exactness It is impossible to estimate the number of casualties with accuracy. Let's calculate the precision for the fourth set, considering$AV_I_V=8.56g$

Δ1 = ∣(8.41−8.56)∣ g=0.15 g

Δ2 = (8.72−8.56) g=0.16 g

Δ3 = ∣(8.55−8.56)∣ g=0.01 g

Therefore: $\triangle_I = \frac{\triangle1+\triangle2+\triangle3}{3} = 0.107g$

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