The teacher asked 4 students to measure 4 different objects. The table shown represents their measurements. Which student had the largest percent error?
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Answer:
Student #4
Step-by-step explanation:
The formula for percentage error is given below. We will use this formula for all the four students and figure out whose error is the most.
Percentage Error = [tex]|\frac{MeasuredValue-ActualValue}{ActualValue}|*100[/tex]
% Error = [tex]|\frac{49-50}{50}|*100\\=|-0.02|*100\\=(0.02)(100)\\=2[/tex]
% Error = [tex]|\frac{25.5-25}{25}|*100\\=|0.02|*100\\=(0.02)(100)\\=2[/tex]
% Error = [tex]|\frac{7.5-8}{8}|*100\\=|-0.0625|*100\\=(0.0625)(100)\\=6.25[/tex]
% Error = [tex]|\frac{2.1-1.6}{1.6}|*100\\=|0.3125|*100\\=(0.3125)(100)\\=31.25[/tex]
Clearly, 31.25% error of student #4 is the highest.