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#include <iostream>
#include <cmath>
using namespace std;
double StandardDeviation(double[], double, int);
double x_mean(double[], int);
void DataEntry(int, double []);
void DisplayData(double [], int);
//function to calc mean
double x_mean(double DataArray[], int x)
{
double sum = 0;
double mean = 0;
for (int i = 0; i < x; i++)
{
sum = sum + DataArray[i];
}
mean = sum / x;
cout << "The mean is " << mean << endl;
return mean;
}
//Function to calculate the sum of x - x_mean
double StandardDeviation(double DataArray[], double x_mean, int x)
{
double sum = 0.0;
double standardDeviation = 0.0;
for (int i = 0; i < x; ++i)
{
sum += DataArray[i];
}
for (int i = 0; i < x; ++i)
standardDeviation += pow(DataArray[i] - x_mean, 2);
return sqrt(standardDeviation / x);
}
//Function for data entry
void DataEntry(int x, double DataArray[])
{
for (int i = 0; i < x; i++)
{
cout << "What number would you like to enter? " << endl;
cin >> DataArray[i];
}
cout << "Data Entry Complete" << endl;
}
void DisplayData(double DataArray[], int j)
{
for (int i = 0; i < j; i++)
{
cout << DataArray[i] << endl;
}
}
int main()
{
int n = 0;
cout << "How many numbers in your data set?" << endl;
cin >> n;
cout << "The total of numbers in your data set is " << n << endl;
double* x = new double[n];
DataEntry(n, x);
DisplayData(x, n);
double xmean = x_mean(x, n);
cout << "Standard Deviation = "<< StandardDeviation(x,xmean, n) << endl;
delete[] x;
return 0;
}
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