The average of numbers is . When a new number, , is added, what is the new average?
Answer and explanation
Correct answer: C. 29
- Step 1: Calculate the initial total sum of the numbers: .
- Step 2: Add the new value to obtain the updated sum: .
- Step 3: Divide by the new total count of numbers: .
Answer
29.
Why not the others: 27 is the original average; 41 is the added value itself; 34 is the arithmetic mean of the old average and the new value (); 31 adds rather than subtracts the constant term in the final step.
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