Question

Mass of a substance measured by the student is $1.56,1.60,1.62,1.52,gm$.The average absolute error in the measurement is

• A. $0.03gm$
• B. $0.02gm$
• C. $0.89gm$
• D. $0.2gm$

Answer 1

The correct option is A $0.03gm$

$\begin{array}{cc}\text{given masses:}1.56g,& 1.60g,1.62g,1.52g\\ \overline{x}& =\frac{1.56+1.60+1.62+1.52}{4}\\ & =1.575g\\ \Delta x_i& =|\overline{x}-x_i|\\ \Delta x_1& =\mid 1.56-1.575|\\ & =0.015g\\ \Delta x_2& =0.025g\end{array}$

$\begin{array}{c}△x_3=0.045g\\ \Delta x_4=0.055g\\ \text{mean error}=\frac{0.015+0.025+0.045+0.055}{4}\\ =\frac{0.14}{4}\\ =0.035\end{array}$