414
420
620
621
Answer is Right!
Answer is Wrong!
The correct answer is (a) 414.
The arithmetic mean of a set of numbers is the sum of the numbers divided by the number of numbers. In this case, the arithmetic mean is 41, and there are 15 numbers. Therefore, the sum of the numbers is $41 \times 15 = 414$.
Option (b) is incorrect because it is the sum of 14 numbers, not 15 numbers. Option (c) is incorrect because it is the sum of 30 numbers, not 15 numbers. Option (d) is incorrect because it is the sum of 31 numbers, not 15 numbers.