Multiple choice

The mean of $10$ values of a group is $6$. If among these values, the mean of $4$ values is $7.5$, then the mean of the remaining values will be:

  1. $3.5$
  2. $5$
  3. $5.5$
  4. $7.5$
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B Correct answer
Explanation

Total sum of 10 values = 10 * 6 = 60. Sum of 4 values = 4 * 7.5 = 30. Sum of remaining 6 values = 60 - 30 = 30. Mean of remaining values = 30 / 6 = 5.

AI explanation

The total sum of all 10 values is calculated as 10 * 6 = 60, and the sum of the 4 values is 4 * 7.5 = 30. The sum of the remaining 6 values is the difference between these sums, giving 60 - 30 = 30. Applying the mean formula for these remaining values, we divide the sum of 30 by the 6 values to get 5. The mean of the remaining values is 5.

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