How to generate a row vector of 6 elements (1x6) out of the given function (fitting the fuction) with a specific MEAN ?

I have a function f(x), from the fuction (fitting the fuction) how to extract data points which will have a specific MEAN and if possible Standard Deviation also ?

Answer 1

[Sai Pavan]

Hi Sambit,

I understand that you are trying to generate a row vector with a specific mean out of a given function.

You can use the following approach to extract data points from a function f(x) that have a specific mean:

1. Define the function f(x) in MATLAB. Make sure the function is defined for the desired range of x values.
2. Choose a desired mean value.
3. Set up a loop to generate random data points and calculate their mean.
4. Repeat the loop until the generated data points have value close to the desired target value.
5. Store the data points that meet the criteria.

Please refer to the below code snippet to generate a (1x6) row vector with a target mean value of 6.

f = @(x) x.^2 + 2*x + 1; % Sample function 
 
meanTarget = 6; % target mean value 
 
dataPoints = []; 
meanValue = 0; % current mean value 
 
while abs(meanValue - meanTarget) > 0.01 % run the loop until mean of generated random numbers is close to target mean 
 
    x = randn(1, 6); 
    y = f(x); 
     
    meanValue = mean(y); 
 
    if abs(meanValue - meanTarget) <= 0.01 % if the current mean is close to target mean, store the vector 
        dataPoints = [dataPoints; x; y]; 
    end 
end 

disp("Extracted Data Points:"); 
disp(dataPoints); 

Hope it helps.

Regards,

Sai Pavan