//物理-探究A
#include <iostream>
#include <cmath>
#include <iomanip>
#include <vector>

using namespace std;

int main() {
	
    double n = 0;
    double average = 0;
    double SD = 0;
    double u = 0;
    
    int Language = 0;
    
    double sum = 0;
    
    vector<double> database;
    
    cout<<"English type 1\n"<<"繁體中文選 2\n"<<"Language (type 1 or 2): "; 
    cin>>Language;
    
    if (Language == 1){
    	cout<<"how much data: ";
	}else{
		cout<<"幾組數據: ";
	}
    
    
    cin>>n;
    
    for (int i = 1; i <= n; i += 1){
    	double n2 = 0;
    	
    	if (Language == 1){
    		cout<<"data "<<i<<": ";
		}else{
			cout<<"數據 "<<i<<": ";
		}
		
    	cin>>n2;
    	
    	database.push_back(n2);
    	average += n2;
	}
	
	average /= n;
	
	for (int i = 0; i < database.size(); i += 1){
		double n2 = database[i];
		sum += (n2 - average) * (n2 - average);
	}
	
	SD = sqrt(sum / (n - 1));
	
	u = round(SD / sqrt(n) * 10) / 10;
	cout<<"--------------------"<<"\n";
	if (Language == 1){
		cout<<"Average: "<<average<<"\n";
		cout<<"σ: "<<SD<<"\n";
		cout<<"u: "<<u<<"\n";
		cout<<"Best estimate: "<<round(average * 10) / 10<<"\n";
		cout<<"Result: "<<round(average * 10) / 10<<" ± "<<u<<"\n";
	}else{
		cout<<"平均值: "<<average<<"\n";
		cout<<"標準差: "<<SD<<"\n";
		cout<<"不確定度: "<<u<<"\n";
		cout<<"最佳估計值: "<<round(average * 10) / 10<<"\n";
		cout<<"測量結果: "<<round(average * 10) / 10<<" ± "<<u<<"\n";
	}
	
	
    return 0;
}