Comparing Two Averages

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The average (arithmetic mean) of 110, 30, and 85 is 10 less than the average of 40, 100, and

Review: Comparing Two Averages


Explanation

This question can be solved in various different ways that all boil down to the average formula. The average of the first three numbers is



The average of the last three numbers is 10 higher, so it's 85. The differences of the three numbers from 85 must sum to zero. We have and so the net so far is -30, so the last number must be . The correct answer is therefore (B).

Note: if you hadn't known about or didn't want to use the "differences" technique, you could have re-formed the average formula as and solved for x, but I would contend that that method is slower for roughly 100% of people.

Again, the correct answer is (B).


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