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Three students tried to guess Joe's weight. They
guessed 140 lb, 150 lb, and 160 lb. If Joe really
weighed 146 lb, calculate each person's percent
deviation.​

Respuesta :

znk

Answer:

4 %; 3 %; 9.6 %

Explanation:

[tex]\text{Percent deviation} = \dfrac{\lvert \text{Measured - Actual}\lvert}{ \text{Actual}} \times100 \,\%[/tex]

Student 1

[tex]\text{\% deviation} = \dfrac{\lvert 140 - 146\lvert}{146} \times 100 \, \% \\\\= \dfrac{\lvert -6\lvert}{146} \times 100 \, \% = \dfrac{6}{146} \times 100 \,\% \\\\= 0.04 \times 100 \, \% = \textbf{4 \%}[/tex]

Student 2

[tex]\text{\% deviation} = \dfrac{\lvert 150 - 146\lvert}{146} \times 100 \, \% \\\\= \dfrac{\lvert 4\lvert}{146} \times 100 \, \% = \dfrac{4}{146} \times 100 \,\% \\\\= 0.03 \times 100 \, \% = \textbf{3 \%}[/tex]

Student 3

[tex]\text{\% deviation} = \dfrac{\lvert 160 - 146\lvert}{146} \times 100 \, \% \\\\= \dfrac{\lvert 14\lvert}{146} \times 100 \, \% = \dfrac{14}{146} \times 100 \,\% \\\\= 0.096 \times 100 \, \% = \textbf{9.6 \%}[/tex]