An online exam is attempted by 50 candidates out of which 20 are boys. The average marks obtained by boys is 12 with a variance 2. The variance of marks obtained by 30 girls is also 2. The average marks of all 50 candidates is 15 . If \mu is the average marks of girls and \sigma ^{2} is the variance of marks of 50 candidates, then \mu+\sigma^{2} is equal to_________.

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