Population Standard Deviation Program in C++ With Explanation

Before jumping to the Standard Deviation Program in C++, we will discuss the Standard Deviation. So, The Standard Deviation is the measure of how spread out numbers are. It is denoted by a Greek symbol Sigma σ (The Greek Letter Sigma). If you want to learn more about Standard Deviation, Check this on Wikipedia.

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Formula of Standard Deviation:

Standard Deviation formula Result beingHelper

\sigma=Population Standard Deviation
N=The Size of the Population
x_i=Each Value From The Population
\mu=The Population Mean

Standard Deviation Program in C++:

#include <iostream>
 //Header File
#include <cmath>
    //Header File
using namespace std;
 //Header File

//Function To do Calculations
float sqrt(float data[], int N)
 //Function To do Calculations
    float sigma = 0.0, meanValue, standardDeviation = 0.0;

    int i;
    //Calculating the Sigma Σ (Sum of All Data Input)
    for (i = 1; i <= N; ++i)
        sigma += data[i];
    //Calculating the Mean Value

    meanValue = sigma / N;
    //Calculating the Varience

    for (i = 1; i <= N; ++i)
        standardDeviation += pow(data[i] - meanValue, 2);
    //Returning Std Deviation
    return sqrt(standardDeviation / N);
int main()
    // variables
    int i, N;
    float data[50];
    float result;
    //Taking Input
    cout << "How much data figures you want to enter = ";
    cin >> N;
    for (i = 1; i <= N; ++i) {
        cout << "Enter " << i << " elements: ";
        cin >> data[i];
    //Taking and sending data to Sqrt Function
    result = sqrt(data,N);
    //Showing Result
    if (result != 0 || result == 0) {
        cout << "The data values are: ";
        for (i = 1; i <= N; ++i)
            cout << data[i] << " ";
        cout << endl;
        cout << "The standard deviation of these data values is " << result;
        cout << "Error Found !Try Again.";
    cout << endl;

    return 0;


Grab it from GitHub. Click Here


Standard Deviation Program Result beingHelper
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Muhammad Bilal

Bilal Asghar is the founder and CEO of Subrays Inc.

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