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) 58.89b) 81.56c) 134.22d) 146.80

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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