Question

To be labeled as a jumbo egg, the egg is supposed to weigh 2.5 oz. Priya buys a carton of jumbo eggs as 2.4 oz. what is the percentage error?

Answer 1

ANSWER

4%

EXPLANATION

We want to find the perecntage error in the given situation.

Percentage error is given as:

$\text{ \%error = }\frac{|x_2-x_1|}{x_1}\cdot\text{ 100}$

where:

x1 = expected value of weight

x2 = measured value of weight

The numerator represents the absolute value of the difference between the two weights.

Therefore, the percentage error is:

$\begin{gathered} \text{ \%error = }\frac{|2.4\text{ - 2.5}|}{2.5}\cdot\text{ 100 = }\frac{|-0.1|}{2.5}\cdot\text{ 100} \\ \text{ \%error = }\frac{0.1}{2.5}\cdot\text{ 100 = 0.04 }\cdot\text{ 100} \\ \text{ \%error = 4\%} \end{gathered}$

The percentage error is 4%.