Answer:
5.35
Explanation:
Value 5.00 6.00 7.00
Weight 75.0% 15.0% 10.0 %
We can determine the weighted average of these values using the following expression.
Weighted average = ∑ wi × xi
where,
w: relative weight
x: value
Weighted average = 5.00 × 0.750 + 6.00 × 0.150 + 7.00 × 0.100
Weighted average = 5.35
The weighted average (Avg) for these values has been 5.35.
The weighted average has been an arithmetic calculation of the mean value for the percent abundance of each value.
The weighted average (Avg) for the values has been given by:
[tex]Avg=V_1\;\times\;\dfrac{W_1}{100}\;+\;V_2\;\times\;\dfrac{W_2}{100}\;+\;V_3\;\times\;\dfrac{W_3}{100}[/tex]
The values have been given,
[tex]V_1=5\\V_2=6\\V_3=7[/tex]
The weighted average has been given as:
[tex]W_1=75\\W_2=15\\W_3=10[/tex]
For the given set of values, the weighted average (Avg) has been given as:
[tex]Avg=5\;\times\;\dfrac{75}{100}\;+\;6\;\times\;\dfrac{15}{100}\;+\;7\;\times\;\dfrac{10}{100}\\Avg=5\;\times\;0.75\;+\;6\;\times\;.015\;+\;7\;\times\;0.1\\Avg=5.35[/tex]
The weighted average (Avg) for these values has been 5.35.
Learn more about weighted average, here:
https://brainly.com/question/18554478
