Step 1 :Given data is \([7, 7, 2, 5, 1]\)
Step 2 :Calculate the mean (average) of the data
Step 3 :Subtract the mean from each data point to get the deviation of each data point
Step 4 :Square each deviation
Step 5 :Find the mean of these squared deviations
Step 6 :Round the result to one more decimal place than the original data
Step 7 :The variance for the given sample data is \(\boxed{7.8}\)