Question

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.​

Answer 1

4 %; 3 %; 9.6 %

Step-by-step explanation:

`\text{Percent deviation} = \frac{\lvert \text{Measured - Actual}\lvert}{ \text{Actual}} *100 \,\%`

Student 1

`\text{\% deviation} = (\lvert 140 - 146\lvert)/(146) * 100 \, \% \\\\= (\lvert -6\lvert)/(146) * 100 \, \% = (6)/(146) * 100 \,\% \\\\= 0.04 * 100 \, \% = \textbf{4 \%}`

Student 2

`\text{\% deviation} = (\lvert 150 - 146\lvert)/(146) * 100 \, \% \\\\= (\lvert 4\lvert)/(146) * 100 \, \% = (4)/(146) * 100 \,\% \\\\= 0.03 * 100 \, \% = \textbf{3 \%}`

Student 3

`\text{\% deviation} = (\lvert 160 - 146\lvert)/(146) * 100 \, \% \\\\= (\lvert 14\lvert)/(146) * 100 \, \% = (14)/(146) * 100 \,\% \\\\= 0.096 * 100 \, \% = \textbf{9.6 \%}`