Everything runs fine, except the Lowest Temperature and HIghest Temperature do not output correctly.
Also any suggestions on how I could implement vectors,

Any help would be greatly appreciated.

Thanks.

#include<iostream>
using namespace std;

int main()
{
	int i(0);
	double Calc(double fahren); 
	double Total(0),Celsius[5],Fahrenheit[5];  
	double CelciusLowTemp(0), FahrenheitLowTemp(0), CelciusHighTemp(0), FahrenheitHighTemp(0);
	double Mean_Celcius, Mean_Fahrenheit;
	
	cout<< "Enter reported temperatures..."<<"\n"<< "\n";
	
	
	for(i=0;i<5;i++) //Loops
		
{
	cout<<"Weather Station "<<i<<" = ";// Takes input for Reported Temperatures...
	cin>>Fahrenheit[i];
		
		if (FahrenheitLowTemp < 0.1)               //Conditionals
			FahrenheitLowTemp = Fahrenheit[i];
		else (FahrenheitLowTemp > Fahrenheit[i]);
		
	FahrenheitLowTemp = Fahrenheit[i];
		
		if (FahrenheitHighTemp < 0.1)
			FahrenheitHighTemp = Fahrenheit[i];
		else (FahrenheitHighTemp < Fahrenheit[i]);
		
	FahrenheitHighTemp = Fahrenheit[i];
		
	Celsius[i] = Calc(Fahrenheit[i]);
		
	Total+=Fahrenheit[i];
}
	CelciusLowTemp = Calc(FahrenheitLowTemp);
	CelciusHighTemp = Calc(FahrenheitHighTemp);
	Mean_Fahrenheit = Total/5.0;
	Mean_Celcius = Calc(Mean_Fahrenheit);
	cout<<" ========NGS Temperature Data Report======== "<<endl;
	cout<<"                           Fahrenheit  Celsius				  "<<endl;
	cout<<" --------------------------------------------------------------"<<endl;
	cout<<"Lowest Temperature:        "<<FahrenheitLowTemp<<"		"<<CelciusLowTemp<<endl;
	cout<<" --------------------------------------------------------------"<<endl;
	cout<<"Highest Temperature:       "<<FahrenheitHighTemp<<"		"<<CelciusHighTemp<<endl;
	cout<<" --------------------------------------------------------------"<<endl;                           
	cout<<"Mean Temperature:          "<< Mean_Fahrenheit<<"		"<<Mean_Celcius<<endl;
	cout<<" --------------------------------------------------------------"<<endl;
	cout<<"Raw Data..."<<endl;
	cout<<"\n";
	
		for(i=0;i<5;i++) {
		
	cout<<"WeatherStation "<<i<<":          "<<Fahrenheit[i]<<"          "<<Celsius[i]<<endl;
		
	}
	cout<<" --------------------------------------------------------------"<<endl;
	cout<<" =============End Temperature Data Report============="<<endl;
}
	
	double Calc(double fah)
{
	double cel;
	cel = (5 *(fah - 32))/9.0;
	return cel;
	
	
}

This should work
I think u got ur conditionals wrong.

#include<iostream>
using namespace std;


int main()
{
	int i(0);
	double Calc(double fahren);
	double Total(0),Celsius[5],Fahrenheit[5];
	double CelciusLowTemp(0), FahrenheitLowTemp(1000), CelciusHighTemp(0), FahrenheitHighTemp(-1000);
	double Mean_Celcius, Mean_Fahrenheit;

	cout<< "Enter reported temperatures..."<<"\n"<< "\n";


	for(i=0;i<5;i++) //Loops

{
	cout<<"Weather Station "<<i+1<<" = ";// Takes input for Reported Temperatures...
	cin>>Fahrenheit[i];

		/*if (FahrenheitLowTemp < 0.1)               //Conditionals
			FahrenheitLowTemp = Fahrenheit[i];
		else (FahrenheitLowTemp > Fahrenheit[i]);*/

		if(Fahrenheit[i]<FahrenheitLowTemp)
            FahrenheitLowTemp=Fahrenheit[i];


	//FahrenheitLowTemp = Fahrenheit[i];

		/*if (FahrenheitHighTemp > 0.1)
			FahrenheitHighTemp = Fahrenheit[i];
		else (FahrenheitHighTemp < Fahrenheit[i]);*/
        if(Fahrenheit[i]>FahrenheitHighTemp)
            FahrenheitHighTemp=Fahrenheit[i];

	//FahrenheitHighTemp = Fahrenheit[i];

	Celsius[i] = Calc(Fahrenheit[i]);

	Total+=Fahrenheit[i];
}
	CelciusLowTemp = Calc(FahrenheitLowTemp);
	CelciusHighTemp = Calc(FahrenheitHighTemp);
	Mean_Fahrenheit = Total/5.0;
	Mean_Celcius = Calc(Mean_Fahrenheit);

	cout<<" ========NGS Temperature Data Report======== "<<endl;
	cout<<"                           Fahrenheit  Celsius				  "<<endl;
	cout<<" --------------------------------------------------------------"<<endl;
	cout<<"Lowest Temperature:        "<<FahrenheitLowTemp<<"		"<<CelciusLowTemp<<endl;
	cout<<" --------------------------------------------------------------"<<endl;
	cout<<"Highest Temperature:       "<<FahrenheitHighTemp<<"		"<<CelciusHighTemp<<endl;
	cout<<" --------------------------------------------------------------"<<endl;
	cout<<"Mean Temperature:          "<<Mean_Fahrenheit<<"		"<<Mean_Celcius<<endl;
	cout<<" --------------------------------------------------------------"<<endl;
	cout<<"Raw Data..."<<endl;
	cout<<"\n";

		for(i=0;i<5;i++) {

	cout<<"WeatherStation "<<i<<":          "<<Fahrenheit[i]<<"          "<<Celsius[i]<<endl;

	}
	cout<<" --------------------------------------------------------------"<<endl;
	cout<<" =============End Temperature Data Report============="<<endl;
}

	double Calc(double fah)
{
	double cel;
	cel = (5 *(fah - 32))/9.0;
	return cel;


}
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