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The average of the first 3 weights was 20 pounds. the average of the next twelve was 25 pounds. what was the overall average of the weights

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Answer: The overall average of the weights is 24 pounds.

Explanation:

To find the overall average of the weights, we need to calculate the weighted mean. A weighted mean is a type of average that takes into account the number of items or observations in each group.

In this case, we know that the average of the first 3 weights is 20 pounds and the average of the next 12 weights is 25 pounds.

To find the overall average, we will use the following formula:

( (number of items in first group * average of first group) + (number of items in second group * average of second group) ) / (number of items in first group + number of items in second group)

The formula can be applied as:

( (3 * 20) + (12 * 25) ) / (3 + 12) = (60 + 300) / 15 = 360 / 15 = 24

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