a meteorologist forecasted that mondays high temperature would be 76°f. on monday, the temperature reached…

a meteorologist forecasted that mondays high temperature would be 76°f. on monday, the temperature reached 80°f. what is the percent error in the meteorologists forecast for monday? error: %

a meteorologist forecasted that mondays high temperature would be 76°f. on monday, the temperature reached 80°f. what is the percent error in the meteorologists forecast for monday? error: %

Answer

Explanation:

Step1: Find the absolute error

The formula for absolute error is $| \text{Actual value}-\text{Estimated value}|$. Here, the actual value is $80^{\circ}F$ and the estimated value is $76^{\circ}F$. So, $|80 - 76|=4$.

Step2: Calculate percent - error

The formula for percent - error is $\frac{\text{Absolute error}}{\text{Actual value}}\times100%$. Substitute the absolute error of $4$ and actual value of $80$ into the formula: $\frac{4}{80}\times 100%$. $\frac{4}{80}\times100%=\frac{4\times100%}{80}=\frac{400%}{80} = 5%$

Answer:

$5$