Multiple choice

The average of $6$ numbers is $30$. If one number is excluded, the average of the remaining numbers is $29$. The excluded number is

  1. $29$
  2. $30$
  3. $35$
  4. $45$
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C Correct answer
Explanation

Sum of 6 numbers = 6 * 30 = 180. Sum of 5 numbers = 5 * 29 = 145. Excluded number = 180 - 145 = 35.

AI explanation

By the definition of average, the sum of the original 6 numbers is 6 times 30, yielding 180. The sum of the remaining 5 numbers after excluding one is 5 times 29, yielding 145. The excluded number is the difference between these two sums, 180 minus 145, which equals 35.

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