What is Mean ?
Mean is define as the sum of all observed data divided by total number. The mean or arithmetic mean is average of group measure. It is also called Arithmetic Mean.
Mean in Ungroup Data
In Ungroup Data, we have only given data X that means we solve this Array of data. Formula of Mean on in group Data:
Program in C / C++
#include<iostream>
using namespace std;
int main(){
float x[10],num,sum=0,mean;
cout<<"Enter Total Number ";
cin>>num;
cout<<"X"<<endl;
for(int i=0;i<num;i++){
cin>>x[i];
sum=sum+x[i];
}
cout<<"Sum: "<<sum<<endl;
mean=sum/num;
cout<<"Mean = Sum(x)/n = "<<mean;
return 0;
}
Input:
X: 5, 10, 15, 20, 25
Output:
Mean in Group Data
In Group Data, we have given data Class interval and frequency (f). Formula of mean group data.
Step 1: Find X of every index.
X= lover Class interval + Higher Class interval /2
Step 2: find F*X.
we simply multiply every index f*x and Sum of all F*X.
Step 3: Sum of F.
Program in C /C++
#include<iostream>
using namespace std;
int main(){
float x[10],fx[10],num,sumf=0,sumfx=0,mean;
float start[10],end[10],f[10];
cout<<" \t\t <<----- Mean Of Group Data ----->> "<<endl<<endl<<endl;
cout<<"Enter Total Number ";
cin>>num;
cout<<"Enter Class Intrvals"<<endl;
for(int i=0;i<num;i++){
cout<<i+1<<"- Range Start ";
cin>>start[i];
cout<<i+1<<"- Range End ";
cin>>end[i];
cout<<i+1<<"- Enter Frequency of this Range ";
cin>>f[i];
}
for(int i=0;i<num;i++){
sumf=sumf+f[i];
x[i]=(start[i]+end[i])/2;
fx[i]=f[i]*x[i];
sumfx=sumfx+fx[i];
}
cout<<"Class Interval Frequency\tX\tF*X"<<endl;
for(int i=0;i<num;i++){
cout<<start[i]<<" - "<<end[i]<<"\t\t"<<f[i]<<"\t\t"<<x[i]<<"\t"<<fx[i]<<endl;
}
cout<<endl;
cout<<"Sum(F) = "<<sumf<<endl;
cout<<"Sum(FX) = "<<sumfx<<endl;
mean=sumfx/sumf;
cout<<"Mean = Sum(fx)/Sum(f) = "<<mean;
return 0;
}
Input:
Class Interval | Frequemcy
5-10 | 8
11-15 | 16
16-20 | 2
21-25 | 5
26-30 | 10
Output
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