Consider point K, located at -8, and point L, located at 2.
If point K has weight 3/4 and point L has weight 1/4,
find the weighted average of the points.



Answer :

Answer:

  -5.5

Step-by-step explanation:

You want the weighted average of -8 and +2, given respective weights of 3/4 and 1/4.

Weighted average

When the weights total 1, we can find the weighted average by finding the sum of products of each value multiplied by its weight:

  (-8)(3/4) +(2)(1/4) = -6 +1/2 = -5 1/2

The weighted average of the points is -5.5.

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Additional comment

The calculator shown in the attachment uses integer weights. When the weights do not total 1, the sum of products is divided by the total of the weights. (-8·3 +2·1)/(3+1) = -22/4 = -5.5

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