Answer :
The question is not complete! Here is the complete question and its answer!
Question:
Compute the average of the following numbers: 17, 33, 45, 66, and 135.
a) 45.00
b) 59.20
c) 61.67
d) 74.00
Use the information from the previous problem. Assume that each of the above numbers occurs once except for 33, which occurs twice, and 135, which occurs four times. Calculate the weighted average of this new list of numbers.
a) 58.89
b) 81.56
c) 134.22
c) 146.80
Answer:
b) 59.20
b) 81.56
Step-by-step explanation:
Sum = 17 + 33 + 45 + 66 + 135
Sum = 296/5
Average = Sum/Total terms
Average = 59.2
Therefore, correct answer is (b) 59.2
Weighted Sum = 17 + 2(33) + 45 + 66 + 4(135)
or we can also write like this
Weighted Sum = 17 + 33 + 33 + 45 + 66 + 135 + 135 + 135 + 135
Weighted Sum = 734
Weighted Average = Weighted Sum/Total terms
Weighted Average = 734/9
Weighted Average = 81.56
Therefore, correct answer is (b) 81.56