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Consider the following distribution of daily wages of \(50\) workers of a factory.
 
Daily wages (in ₹) \(500-520\) \(520-540\) \(540-560\) \(560-580\) \(580-600\)
Number of workers \(12\) \(14\) \(8\) \(6\) \(10\)
 
Find the mean daily wages of the workers of the factory by using an appropriate method.
 
Mean \(=\)