To find the mean & variance using c++

To find the mean & variance using c++:

THEORY:

 For a data set, the terms arithmetic mean, mathematical expectation, and sometimes average are used synonymously to refer to a central value of a discrete set of numbers.

If x1,x2,x3…….xn are a set of data, the mean can be calculated as

Xmean=(x1+x2+………….+xn)/n

            Variance is the expectation of the squared deviation of a random variable from its mean, & it informally measures how far a set of (random) numbers are spread out from their mean. The variance is the square of standard deviation.

Var(X)=(1/N)*{∑_i=1  (x_i-x_mean)² }

Standard Deviation:

Standard deviation is a measure of the dispersion of a set of data from its mean. It is defined as the square root of its variance.

CODING:

#include<iostream.h>

#include<conio.h>

#include<math.h>

void main()

{

float x[10];

int i,n;

float avg,var,sum=0,sum1=0;

clrscr();

cout<<"N= \n";

cin>>n;

cout<<"list of number = \n";

for(i=0;i<n;i++)

{

cin>>x[i];

}

for(i=0;i<n;i++)

{

sum=sum+x[i];

}

avg=sum/n;

for(i=0;i<n;i++)

{

sum1=sum1+pow(x[i]-avg,2);

}

var=sum1/n;

cout<<"average = \n"<<avg<<endl;

cout<<"varience = \n"<<var;

getch();

}

OUTPUT:

Scilab Programming

C ++ Programming

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