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The weighted average is a way to find the average height of the group, taking into account that some children are taller than others. The result is the weighted average height of the group of children in your class. This way, the taller children have more influence on the average height, and the shorter children have less influence.
The average in math is a calculated central value of a set of numbers, like the middle number in a group. To calculate it add up all the numbers, then divide by the total amount of numbers.