Multiple choice

Out of $14$ numbers, the average of first $10$ terms is $10$ and the average of the remaining $4$ is $24$. Find the average of all the numbers?

  1. $12$
  2. $16$
  3. $14$
  4. $15$
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C Correct answer
Explanation

Sum of first 10 = 10 * 10 = 100. Sum of remaining 4 = 4 * 24 = 96. Total sum = 196. Average = 196 / 14 = 14.

AI explanation

Using the weighted average method, multiply the number of terms by their respective averages to find the total sum. The sum of the first 10 terms is 10 times 10, giving 100, and the sum of the remaining 4 terms is 24 times 4, giving 96. The total sum of all 14 numbers is 100 plus 96, which is 196. Dividing this total sum by 14 gives the overall average, which is 14.

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