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DIRECTIONS for questions 17 to 19: Select the correct alternative from the given choices.If the average of 60 numbers is 40, whereas the average of 40 other numbers is 60, what is the average of all the 100 numbers taken together?48505254

Question

DIRECTIONS for questions 17 to 19: Select the correct alternative from the given choices.If the average of 60 numbers is 40, whereas the average of 40 other numbers is 60, what is the average of all the 100 numbers taken together?48505254

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Solution

The average of a set of numbers is calculated by dividing the sum of the numbers by the quantity of numbers.

Step 1: Calculate the total sum of the 60 numbers. The average of the 60 numbers is 40, so the total sum is 60 * 40 = 2400.

Step 2: Calculate the total sum of the 40 numbers. The average of the 40 numbers is 60, so the total sum is 40 * 60 = 2400.

Step 3: Calculate the total sum of all 100 numbers. The total sum of all 100 numbers is 2400 (from the 60 numbers) + 2400 (from the 40 numbers) = 4800.

Step 4: Calculate the average of all 100 numbers. The average is the total sum divided by the quantity of numbers, so the average is 4800 / 100 = 48.

So, the average of all the 100 numbers taken together is 48.

This problem has been solved

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