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Average of six numbers comes out to be 3.95.Average of two of the numbers is 3.4 while the average of other two is 3.85.Determine the average of the two numbers left.4.74.84.34.6

Question

Average of six numbers comes out to be 3.95.Average of two of the numbers is 3.4 while the average of other two is 3.85.Determine the average of the two numbers left.4.74.84.34.6

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Solution

The problem states that the average of six numbers is 3.95. The sum of these six numbers can be found by multiplying the average by the number of terms, which is 6. So, the sum of the six numbers is 3.95 * 6 = 23.7.

The problem also states that the average of two of the numbers is 3.4 and the average of another two numbers is 3.85. The sum of these four numbers can be found by adding the sum of the first two numbers (3.4 * 2 = 6.8) and the sum of the next two numbers (3.85 * 2 = 7.7). So, the sum of these four numbers is 6.8 + 7.7 = 14.5.

To find the sum of the last two numbers, subtract the sum of the first four numbers from the sum of all six numbers. So, the sum of the last two numbers is 23.7 - 14.5 = 9.2.

Finally, to find the average of the last two numbers, divide their sum by the number of terms, which is 2. So, the average of the last two numbers is 9.2 / 2 = 4.6.

This problem has been solved

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