Describe a step by step process for each of the scenarios given below using C++.

ID: 674701 • Letter: D

Question

In numerical analysis the average and standard deviation is often calculated. The average or mean is given by the formula

Average = x/n

where n is the number of x values.

The standard deviation is a measure of scatter and is given by the formula

Standard deviation = (((x – xave)2)/(n-1))0.5

where xave is the average x, and n is the number of x values.

Suppose you have an array of x values write the process to calculate the average and standard deviation for these values.

#include<iostream>

#include <cmath>

using namespace std;

int main()

{

int arr[10] = {1,2,3,4,4,4,5,5,5,6};

float mean = 0;

float sum_deviation = 0.0;

for (int i=0;i<10;i++) {

mean = mean+arr[i];

}

cout << "Average is : " << mean/10 << endl;

for(int i=0; i<10;++i)

sum_deviation+=(arr[i]-mean)*(arr[i]-mean);

cout << "Standard deviation is : " << sqrt(sum_deviation/10) << endl;

return 0;

}

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