The percent error in the meteorologist's forecast for Monday is 5.26316 %
Solution:
Given that Monday's high temperature would be 76°F
On Monday, the temperature reached 80°F
To find: percent error in the meteorologist's forecast for Monday
Percent error is the difference between a measured and known value, divided by the known value, multiplied by 100%
The percent error is given as:
![\text {percent error }=\frac{\text {observed - standard}}{\text { standard value}} * 100](https://img.qammunity.org/2020/formulas/mathematics/middle-school/iegmpejfsnrl3c8jxsr7bmwmgx6cgtnw39.png)
Here standard value = 76 and observed value on monday = 80
![\text { percent error }=(80-76)/(76) * 100](https://img.qammunity.org/2020/formulas/mathematics/middle-school/vw1i9lua3niebpri7izk8jpoiq0ohpbiz4.png)
![\text { percent error }=(4)/(76) * 100=5.26316 \%](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ydmju89dgpzbl94iih7vb2bcryqubsls6b.png)
Thus percent error in the meteorologist's forecast for Monday is 5.26316 %