Percent error is the amount of error to actual value, in percent. The percent error in Charlie’s guess is approximately: Option D: 5.5%
<h3>How to calculate the percent error?</h3>
Suppose the actual value and the estimated values after the measurement are obtained. Then we have:
Error = Actual value - Estimated value
To calculate percent error, we will measure how much percent of actual value, the error is, in the estimated value.
![\rm Percent \: Error = |\dfrac{Error}{Actual value}|\times 100 \\\\Percent \: Error = | \dfrac{\text{(Actual Value - Estimated Value)}}{Actual value}|\times 100 \\](https://tex.z-dn.net/?f=%5Crm%20Percent%20%5C%3A%20Error%20%3D%20%7C%5Cdfrac%7BError%7D%7BActual%20value%7D%7C%5Ctimes%20100%20%5C%5C%5C%5CPercent%20%5C%3A%20Error%20%3D%20%7C%20%5Cdfrac%7B%5Ctext%7B%28Actual%20Value%20-%20Estimated%20Value%29%7D%7D%7BActual%20value%7D%7C%5Ctimes%20100%20%5C%5C)
(here |x| is such that it makes x non negative, thus, |-5| = 5, and |5| = 5)
For the given case, it is specified that:
Actual weight of dog = 32.7 pounds
Guessed weight of dog, by Charlie : 34.5 pounds.
Error = 32.7 - 34.5 = -1.8 pounds
Thus, percent error in Charlie's guess is calculated as:
![\text{Percent Error} = |\dfrac{-1.8}{32.7}| \times 100 \approx 5.5\%](https://tex.z-dn.net/?f=%5Ctext%7BPercent%20Error%7D%20%3D%20%7C%5Cdfrac%7B-1.8%7D%7B32.7%7D%7C%20%5Ctimes%20100%20%5Capprox%205.5%5C%25)
Hence, the percent error in Charlie’s guess is obtained approximately is given by: Option D: 5.5%
Learn more about percent error here:
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