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Line 21:
Line 21: − + +
→Weighted averages
it is now
it is now
:(1 + 9 + 11 + 11 + 11 + 11 + 11 + 11 + 11 + 11 + 11 + 11) / 12 = 10
:(1 + 9 + 11 + 11 + 11 + 11 + 11 + 11 + 11 + 11 + 11 + 11) / 12 = 10
Giving extra "weight" to one of the items moves the average closer to the items with more weight.
Giving extra "weight" to one of the items moves the average closer to the items with more weight.
In this case, we put ten weights at the 11" mark and added it in ten times. But we could have hung one ''heavier'' weight at the 11" mark. That weight could be 2.5 or 8.6 or 16.184 times as much as the others. When we used ten weights, we could have written the calculation for the average this way:
In this case, we put ten weights at the 11" mark and added it in ten times. But we could have hung one ''heavier'' weight at the 11" mark. That weight could be 2.5 or 8.6 or 16.184 times as much as the others. When we used ten weights, we could have written the calculation for the average this way:
:(1·1 + 1·9 + 10·11) / (1 + 1 + 10)
:(1·1 + 1·9 + 10·11) / (1 + 1 + 10)