Multiple choice

The average of five numbers is 30. If one number is excluded, then the average becomes 31. What is the excluded number?

  1. $30$
  2. $24$
  3. $26$
  4. $31$
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C Correct answer
Explanation

Let sum of five numbers = 5 × 30 = 150. When one number is excluded, sum of four numbers = 4 × 31 = 124. The excluded number = 150 - 124 = 26. This is a standard average problem where removing a number below the average increases the overall average.

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