Given:
X W
2.0 3
2.5 3
1.5 3
3.0 3
2.0 8
To find the weighted mean, use the formula:
[tex]x=\text{ }\frac{\Sigma X\cdot W}{\Sigma W}[/tex]Multiply the weight by the data values then add up the weights.
Divide the product by the sum of the weights.
X W X*W
2.0 3 6.0
2.5 3 7.5
1.5 3 4.5
3.0 3 9.0
2.0 8 16.0
------ --------
20 43
[tex]=\text{ }\frac{\Sigma X\cdot W}{\Sigma W}\text{ = }\frac{43}{20}=\text{ }2.15[/tex]The weighted mean is = 2.15
ANSWER:
X = 2.15