Answer: 3 is the weighted average
Step-by-step explanation:
A weighted average is sort of like it sounds. - Different data-points are given different weights as far as how much they affect the answer. It's like you had 4 people on a corporation's board and all four get to vote, but their votes count differently. Person A has a vote that counts as 3. Person B has a vote that counts as 2 votes. Persons C & D each have a vote that counts as just one vote. For peron A to get outvoted, all the others must gang up against him.
Okay, back to our actual problem ...
- point E measures (-1) and has weight 2x weight of F
- point F has a measure of 2 and no particular stated weight
- point G measures 6 and has a weight of 3x weight of F
Since we can assign a weight to point F and the other weights will be based on that, let's just keep it simple and give point F a weight of 1.
That gives E a weight of 2, and G a weight of 3.
So, ...
E value times E weight is (-1) x 2 = -2
F value times F weight is 2 x 1 = 2
G value times G weight is 6 x 3 = 18
Sum of (value x weight) = 18
Sum of the weights = 2 + 1 + 3 = 6
WE get the weighted average by taking the sum of (value x weight) products (18) and then dividing by the sum of the weights (6).
18/6 = 3, the weighted average
The point at coordinate 3 represents the weighted average.
