Question

the weatherman predicted that todays temperature would be 64°f. it was actually 38°f. what was the percent error of the weathermans prediction?
a 42.55%

b 40.63%

c 64.82%

d 68.42%

Explanation:

Step1: Find the absolute error

The absolute error is the absolute difference between the predicted value and the actual value. So, we calculate \( |64 - 38| \).
\( |64 - 38| = 26 \)

Step2: Calculate the percent error

The formula for percent error is \( \text{Percent Error} = \frac{|\text{Predicted} - \text{Actual}|}{\text{Actual}} \times 100\% \).
Substitute the values: \( \frac{26}{38} \times 100\% \).
First, calculate \( \frac{26}{38} \approx 0.6842 \), then multiply by 100%: \( 0.6842\times 100\% = 68.42\% \)

Answer:

D. 68.42%