Multiple choice

Find the mean of $8, 12, 16, 22,10$ and $4$, Find the resulting mean, if each of the observations, given above. be d ecreased by $40\%.$.Find the mean

  1. $7.2$
  2. $0$
  3. $6$

  4. None of these
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A Correct answer
Explanation

The original mean is (8 + 12 + 16 + 22 + 10 + 4)/6 = 12. Decreasing every observation by 40% decreases the mean by 40% as well. Thus the new mean is 60% of 12, which is 7.2.

AI explanation

First, find the original mean of 8, 12, 16, 22, 10, and 4 by dividing their sum of 72 by 6, which is 12. Decreasing each observation by 40 percent means each value becomes 60 percent of its original value, which scales the mean by the same factor. Multiplying the original mean of 12 by 0.60 gives the new mean of 7.2.

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