Multiple choice

The mean and variance of $7$ observations are $8$ and $16$. If $5$ of these are $2,4,10,12,14$, find the sum of two remaining observations.

  1. $22$
  2. $13$
  3. $18$
  4. $14$
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D Correct answer
Explanation

Mean = 8, N = 7, Sum = 56. Given sum = 2+4+10+12+14 = 42. Sum of remaining two = 56 - 42 = 14.

AI explanation

By multiplying the number of observations by the given mean, the sum of all 7 observations is 7 * 8 = 56. Adding the 5 known observations gives a partial sum of 2 + 4 + 10 + 12 + 14 = 42. Subtracting this partial sum from the total sum yields the sum of the remaining two observations as 56 - 42 = 14. The sum of the two remaining observations is 14.

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