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the average density for a substance was determined as 6.5 g/ml. the sam…

Question

the average density for a substance was determined as 6.5 g/ml. the same substance has an accepted density of 7.4 g/ml. what is the percent error for the data? % error = $\frac{|accepted - average|}{accepted} \times 100$ about 0.14% about 12% about 0.12% about 14%

Explanation:

Step1: Identify values

Let the accepted value be $7.4$ g/mL and the average value be $6.5$ g/mL.

Step2: Calculate difference

$|7.4 - 6.5|= 0.9$

Step3: Apply percent - error formula

$\text{\% Error}=\frac{|7.4 - 6.5|}{7.4}\times100=\frac{0.9}{7.4}\times100$
$\frac{0.9}{7.4}\times100\approx12.16\% \approx 12\%$

Answer:

about 12%