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A survey was conducted by a group of students as a part of their environment awareness programme, in which they collected the following data regarding the number of plants in \(20\) houses in a locality. Find the mean number of plants per house.
 
Number of Plants \(0-2\) \(2-4\) \(4-6\) \(6-8\) \(8-10\) \(10-12\) \(12-14\)
Number of houses \(1\) \(2\) \(1\) \(5\) \(6\) \(2\) \(3\)
 
The Mean of the data is \(=\) .
 
Which method did you use for finding the mean, and why?