Multiple choice

A book distributor sends out standardized packages weighing $1, 1.5$ or $2$ kilograms. If during one week $40$ per cent of the packages weigh $1$ kg, $50$ per cent weigh $1.5$ kg and $10$ per cent weigh $2$ kg, what is the average weight in kilograms of the parcels that week?

  1. 1.10

  2. 1.20

  3. 1.25

  4. 1.35
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D Correct answer
Explanation

The average weight is calculated by the weighted mean: (0.40 * 1) + (0.50 * 1.5) + (0.10 * 2). This equals 0.40 + 0.75 + 0.20 = 1.35 kg.

AI explanation

To find the average weight, multiply each weight by its percentage and sum the results. The calculation is (1 multiplied by 0.40) plus (1.5 multiplied by 0.50) plus (2 multiplied by 0.10). This gives 0.40 plus 0.75 plus 0.20, resulting in an average weight of 1.35 kilograms.

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