Answer:
Weighted Average = Σwx / Σw = 5.35 / 1 = 5.35
Step-by-step explanation:
The Formula for calculating the Weighted Average of a data set is;
Weighted Average = Σwx / Σw
Where
Σwx - Is the sum of the product of each weight, and its value
Σw - Is the sum of each weight
In this case,
Σwx = (5.00 * (75.0 / 100)) + (6.00 * (15.0 / 100)) + (7.00 * (10.0 / 100))
= (5.00 * 0.75) + (6 * 0.15) + (7 * 0.10)
= 3.75 + 0.90 + 0.70
= 5.35
Σw = (75.0 / 100) + (15.0 / 100) + (10.0 / 100)
= 0.75 + 0.15 + 0.1
= 1
Hence, Weighted Average = Σwx / Σw = 5.35 / 1 = 5.35