Question

janiece buys a bag of candy and before she opens it, she guesses that there are 24 candies inside. after opening the bag, she counts 27 candies are actually inside. what is the percent of error in janiece’s guess of candies, to the nearest hundredth?
%

Explanation:

Step1: Find the absolute error

The absolute error is the absolute difference between the actual value and the guessed value. The actual value is 27, and the guessed value is 24. So, the absolute error is $|27 - 24| = 3$.

Step2: Calculate the percent error

The formula for percent error is $\frac{\text{Absolute Error}}{\text{Actual Value}} \times 100\%$. Substituting the values, we get $\frac{3}{27} \times 100\%$.
First, calculate $\frac{3}{27} \approx 0.1111$. Then multiply by 100% to get $0.1111 \times 100\% = 11.11\%$ (rounded to the nearest hundredth).

Answer:

11.11