Question

The data values and weights are provided. Find the weighted mean x. X. = 2.0, X2 = 2.5, x3 = 1.5, w4 = 3.0, w5= 2.0; w1 = W2 = W3 = W4 = 3,w5 = 8

Answer 1

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:

`x=\text{ }(\Sigma X\cdot W)/(\Sigma W)`

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

`=\text{ }(\Sigma X\cdot W)/(\Sigma W)\text{ = }(43)/(20)=\text{ }2.15`

The weighted mean is = 2.15

ANSWER:

X = 2.15