weighted mean - helicopter costs

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3.1 - 1 Desk Work 6: Helicopter Costs The costs of three models of helicopters are shown here. Find the weighted mean of the costs of the models. Model Number Sold Cost Sunscraper 9 $427,000 Skycoaster 6 $365,000 High-flyer 12 $725,000

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Page 1: Weighted Mean - Helicopter Costs

3.1 - 1

Desk Work 6: Helicopter CostsThe costs of three models of helicopters are shown here. Find the weighted mean of the costs of the models.

Model Number Sold CostSunscraper 9 $427,000

Skycoaster 6 $365,000High-flyer 12 $725,000

Page 2: Weighted Mean - Helicopter Costs

3.1 - 2

Desk Work 6: Helicopter CostsThe costs of three models of helicopters are shown here. Find the weighted mean of the costs of the models.

Identify which column is the variable (x) and which column is the weights (w).

Model Number Sold CostSunscraper 9 $427,000

Skycoaster 6 $365,000High-flyer 12 $725,000

Page 3: Weighted Mean - Helicopter Costs

3.1 - 3

Desk Work 6: Helicopter CostsThe costs of three models of helicopters are shown here. Find the weighted mean of the costs of the models.

Identify which column is the variable (x) and which column is the weights (w).

Model Number Sold CostSunscraper 9 $427,000

Skycoaster 6 $365,000High-flyer 12 $725,000

Page 4: Weighted Mean - Helicopter Costs

3.1 - 4

Desk Work 6: Helicopter CostsThe costs of three models of helicopters are shown here. Find the weighted mean of the costs of the models.

Identify which column is the variable (x) and which column is the weights (w).- The values you are finding the weighted mean of is the variable

Cost is the variable (x)

Model Number Sold Cost (x)Sunscraper 9 $427,000

Skycoaster 6 $365,000High-flyer 12 $725,000

Page 5: Weighted Mean - Helicopter Costs

3.1 - 5

Desk Work 6: Helicopter CostsThe costs of three models of helicopters are shown here. Find the weighted mean of the costs of the models.

Identify which column is the variable (x) and which column is the weights (w).- The values you are finding the weighted mean of is the variable

Cost is the variable (x)- Use the Number Sold (w) as the weights. The Sunscraper will be weighted more because more Sunscraper models were sold.

Model Number Sold (w) Cost (x)Sunscraper 9 $427,000

Skycoaster 6 $365,000High-flyer 12 $725,000

Page 6: Weighted Mean - Helicopter Costs

3.1 - 6

Desk Work 6: Helicopter CostsThe costs of three models of helicopters are shown here. Find the weighted mean of the costs of the models.

Model Number Sold (w) Cost (x)Sunscraper 9 $427,000

Skycoaster 6 $365,000High-flyer 12 $725,000

w

xwX

)(

Page 7: Weighted Mean - Helicopter Costs

3.1 - 7

Desk Work 6: Helicopter CostsThe costs of three models of helicopters are shown here. Find the weighted mean of the costs of the models.

Model Number Sold (w) Cost (x)Sunscraper 9 $427,000

Skycoaster 6 $365,000High-flyer 12 $725,000

w

xwX

)( Create a column for w∙x

Page 8: Weighted Mean - Helicopter Costs

3.1 - 8

Desk Work 6: Helicopter CostsThe costs of three models of helicopters are shown here. Find the weighted mean of the costs of the models.

Model Number Sold (w) Cost (x) w∙x

Sunscraper 9 $427,000

Skycoaster 6 $365,000High-flyer 12 $725,000

w

xwX

)( Create a column for w∙x

Page 9: Weighted Mean - Helicopter Costs

3.1 - 9

Desk Work 6: Helicopter CostsThe costs of three models of helicopters are shown here. Find the weighted mean of the costs of the models.

Model Number Sold (w) Cost (x) w∙x

Sunscraper 9 $427,000 9×427,000 = 3,843,000

Skycoaster 6 $365,000High-flyer 12 $725,000

w

xwX

)( Create a column for w∙x

Page 10: Weighted Mean - Helicopter Costs

3.1 - 10

Desk Work 6: Helicopter CostsThe costs of three models of helicopters are shown here. Find the weighted mean of the costs of the models.

Model Number Sold (w) Cost (x) w∙x

Sunscraper 9 $427,000 9×427,000 = 3,843,000

Skycoaster 6 $365,000 6×365,000 = 2,190,000High-flyer 12 $725,000

w

xwX

)( Create a column for w∙x

Page 11: Weighted Mean - Helicopter Costs

3.1 - 11

Desk Work 6: Helicopter CostsThe costs of three models of helicopters are shown here. Find the weighted mean of the costs of the models.

Model Number Sold (w) Cost (x) w∙x

Sunscraper 9 $427,000 9×427,000 = 3,843,000

Skycoaster 6 $365,000 6×365,000 = 2,190,000High-flyer 12 $725,000 12×725,000 = 8,700,000

w

xwX

)( Create a column for w∙x

Page 12: Weighted Mean - Helicopter Costs

3.1 - 12

Desk Work 6: Helicopter CostsThe costs of three models of helicopters are shown here. Find the weighted mean of the costs of the models.

Model Number Sold (w) Cost (x) w∙x

Sunscraper 9 $427,000 9×427,000 = 3,843,000

Skycoaster 6 $365,000 6×365,000 = 2,190,000High-flyer 12 $725,000 12×725,000 = 8,700,000

w

xwX

)( Sum the column of w∙x

Page 13: Weighted Mean - Helicopter Costs

3.1 - 13

Desk Work 6: Helicopter CostsThe costs of three models of helicopters are shown here. Find the weighted mean of the costs of the models.

Model Number Sold (w) Cost (x) w∙x

Sunscraper 9 $427,000 9×427,000 = 3,843,000

Skycoaster 6 $365,000 6×365,000 = 2,190,000High-flyer 12 $725,000 12×725,000 = 8,700,000

w

xwX

)( Sum the column of w∙x

Σ(w∙x) = 14,733,000

Page 14: Weighted Mean - Helicopter Costs

3.1 - 14

Desk Work 6: Helicopter CostsThe costs of three models of helicopters are shown here. Find the weighted mean of the costs of the models.

Model Number Sold (w) Cost (x) w∙x

Sunscraper 9 $427,000 9×427,000 = 3,843,000

Skycoaster 6 $365,000 6×365,000 = 2,190,000High-flyer 12 $725,000 12×725,000 = 8,700,000

w

xwX

)(

Sum the column of w

Σ(w∙x) = 14,733,000

Page 15: Weighted Mean - Helicopter Costs

3.1 - 15

Desk Work 6: Helicopter CostsThe costs of three models of helicopters are shown here. Find the weighted mean of the costs of the models.

Model Number Sold (w) Cost (x) w∙x

Sunscraper 9 $427,000 9×427,000 = 3,843,000

Skycoaster 6 $365,000 6×365,000 = 2,190,000High-flyer 12 $725,000 12×725,000 = 8,700,000

w

xwX

)(

Sum the column of w

Σ(w∙x) = 14,733,000 Σw = 27

Page 16: Weighted Mean - Helicopter Costs

3.1 - 16

Desk Work 6: Helicopter CostsThe costs of three models of helicopters are shown here. Find the weighted mean of the costs of the models.

Model Number Sold (w) Cost (x) w∙x

Sunscraper 9 $427,000 9×427,000 = 3,843,000

Skycoaster 6 $365,000 6×365,000 = 2,190,000High-flyer 12 $725,000 12×725,000 = 8,700,000

w

xwX

)(

Σ(w∙x) = 14,733,000 Σw = 27

Page 17: Weighted Mean - Helicopter Costs

3.1 - 17

Desk Work 6: Helicopter CostsThe costs of three models of helicopters are shown here. Find the weighted mean of the costs of the models.

Model Number Sold (w) Cost (x) w∙x

Sunscraper 9 $427,000 9×427,000 = 3,843,000

Skycoaster 6 $365,000 6×365,000 = 2,190,000High-flyer 12 $725,000 12×725,000 = 8,700,000

27000,733,14)(

w

xwX

Σ(w∙x) = 14,733,000 Σw = 27

Page 18: Weighted Mean - Helicopter Costs

3.1 - 18

Desk Work 6: Helicopter CostsThe costs of three models of helicopters are shown here. Find the weighted mean of the costs of the models.

Model Number Sold (w) Cost (x) w∙x

Sunscraper 9 $427,000 9×427,000 = 3,843,000

Skycoaster 6 $365,000 6×365,000 = 2,190,000High-flyer 12 $725,000 12×725,000 = 8,700,000

6.666,54527000,733,14)(

w

xwX

Σ(w∙x) = 14,733,000 Σw = 27

Page 19: Weighted Mean - Helicopter Costs

3.1 - 19

Desk Work 6: Helicopter CostsThe costs of three models of helicopters are shown here. Find the weighted mean of the costs of the models.

Model Number Sold (w) Cost (x) w∙x

Sunscraper 9 $427,000 9×427,000 = 3,843,000

Skycoaster 6 $365,000 6×365,000 = 2,190,000High-flyer 12 $725,000 12×725,000 = 8,700,000

6.666,54527000,733,14)(

w

xwX

Σ(w∙x) = 14,733,000 Σw = 27

The weighted mean of the helicopter costs is $545,667.