To compare the awarding function at schools is going to vary greatly depending on the type of school, the level of education and other factors. Generally a principal will present awards to the students, but teachers are also involved, especially in the decision of who will receive the award.
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Comparison:(school being fun) School is a never-ending vacation to the sunny, warm beach.(school being boring) School is a screaming baby constantly yelling in your ear
1) Measuring student and/or teacher performance. 2) Comparing results of different schools, curricula or ethnic (SES) groups. 3) Measuring rates of student drop-out, violence, success after high school (comparing high school grades to subsequent grades in university).
Often it is that the two means are the same. But more generally, it is that some function of the two means is zero.