1. Calculate the weighted averages for two additional used cars using the weights given in the...

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Advance Math

1. Calculate the weighted averages for two additional used carsusing the weights given in the table below.

New weights

Car 4 Ratings

Car 5 Ratings

Reliability

5

7

6

Gas Mileage

6

5

7

Interior Features/Comfort

10

8

7

Cargo Space

4

6

8

Make sure that you fill in each answer area before checking"How Did I Do?".

  1. Weighted average for Car 4:  
  2. Weighted average for Car 5:   
  • In your weighted average equations in the problem above, howmany total weights are used?


  • For each category, what percent of the total weights arerepresented by the category weights? Enter your answers in thetable.

    New Weights as a Percentage of TotalWeights

    Reliability

    %

    Gas Mileage

    %

    Interior Features/Comfort

    %

    Cargo Space

    %

  • In the tables below, multiply each category’s percentage weightby its rating, and add up the four amounts.

    Percentage Weights (written as a decimal)

    Car 4 Ratings

    Reliability

    ×

    7

    =

    Gas Mileage

    ×

    5

    =

    Interior Features/Comfort

    ×

    8

    =

    Cargo Space

    ×

    6

    =

    Total



    Percentage Weights (written as a decimal)

    Car 5 Ratings

    Reliability

    ×

    6

    =

    Gas Mileage

    ×

    7

    =

    Interior Features/Comfort

    ×

    7

    =

    Cargo Space

    ×

    8

    =

    Total


  • Write an equation for the weighted average using the percentageweights as decimals. Use the following variables to represent theindividual rating in each category: R= Reliability; G= Gas Mileage;I= Interior Features/Comfort; C= Cargo Space.

    Weighted average =

Answer & Explanation Solved by verified expert
4.2 Ratings (785 Votes)
Weighted average can be calculated as the Sum of the product ofindividual weights and Ratings and divide the result by the totalnumber of individual weightsSubstituting the values For Car4 we get75 56 810 644 35 30 80 244 1694 4225Hence The weighted average    See Answer
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