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Five successive determinations of the density of an alloy gave the following results:
10.29 g/mL, 9.95 g/mL, 10.06 g/mL, 9.89 g/mL, 10.18 g/mL
What value should be reported for the density of the this alloy?

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10.074 g/mL

10.1 ± 0.2 g/mL

1.0 x 10 g/mL

10.07 ± 0.16 g/mL

answer is B.

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Detailed Solution

$d_{ang.} = \frac{10.29 + 9.75 + 9.89 + 10.18}{4}$

$\Rightarrow 10.074 g / ml$

$Max" error \Rightarrow \frac{0.29 + 0.05 + 0.11 + 0.18}{4}$

$\Rightarrow {0.16}^{} g / ml$

d $= 10.07 \pm 0.1 g / ml$

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