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the average of the first 6 weights are 15 pounds. The average of the next 14 weights are 30 pounds. what was the overall average

1 Answer

9 votes

Answer:

25.5 lbs

Explanation:

The total of the first 6 weights is ...

6 × 15 = 90 . . . pounds

The total of the next 14 weights is ...

14 × 30 = 420 . . . pounds

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Then the total of all 6+14 = 20 weights is ...

90 +420 = 510 . . . pounds

and their average is ...

(510 lbs)/20 = 25.5 lbs

The overall average is 25.5 pounds.

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Additional comment

The average is computed from ...

average = (sum of items)/(number of items)

Rearranging this equation gives ...

sum of items = average × (number of items)

The overall average is the sum of all items divided by the number of them.

User Samudra Ganguly
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