calculate coefficient of variation using a for loop in matlab

Here's an example code to calculate the coefficient of variation in Matlab using a for loop:

main.m
data = [2 4 6 8 10];  % sample data
n = length(data);     % number of observations
mu = mean(data);      % mean value
sd = std(data);       % standard deviation
cv = zeros(1,n);      % pre-allocate CV vector

for i=1:n
    cv(i) = sd(i)/mu(i);  % calculate CV for each observation
end

avg_cv = mean(cv);    % calculate the average CV across all observations
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Here, we first define the sample data as a vector. Then we calculate the sample mean and standard deviation using the built-in Matlab functions mean() and std(). We also pre-allocate a vector of zeros to store the CV values for each observation.

The for loop iterates over each observation and calculates the CV using the formula CV = SD/Mean. The CV values for each observation are stored in the cv vector.

Finally, we calculate the average CV across all observations by taking the mean of the cv vector.