Multiple choice

Mean of 10 values is 32.6. If another values is included the mean becomes 31. The included value is

  1. $16$
  2. $14$
  3. $15$
  4. $19$
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C Correct answer
Explanation

Sum of 10 values = 10 * 32.6 = 326. Sum of 11 values = 11 * 31 = 341. The included value = 341 - 326 = 15.

AI explanation

The formula for the mean gives the sum of the initial 10 values as 10 * 32.6 = 326. When a new value is included, the new sum for 11 values becomes 11 * 31 = 341. The included value is the difference between the new sum and the old sum, which is 341 - 326 = 15.

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