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student is given a rock that is known to have a mass of 436.8 grams. She measures the mass of the rock three different times with the following results: 460.9 g, 461.4g, 459.0 g. Calculate the percent error of the student.

Respuesta :

Given :

Actual mass , [tex]m_e=436.8\ g[/tex] .

Three observations 460.9 g, 461.4 g, 459.0 g .

To Find :

The percent error of the student.

Solution :

Percent error is given by :

[tex]\%error=\sum \dfrac{|approx\ value -actual\ value |}{exact\ value}\times 100\\\\\%error=\dfrac{|460.9-436.8|+|461.4-436.8|+|459-436.8|}{436.8}\times 100\\\\\%error=\dfrac{70.9}{436.8}\times 100\\\\\%error=16.23\%[/tex]

Therefore , the percent error of the student is 16.23 % .

Hence , this is the required solution .