Multiple choice

The mean of $10$ observations is $16.3$. By an error one observation id is registered as $32$ instead of $23$. Then, the correct mean is

  1. $15.6$
  2. $15.4$
  3. $15.7$
  4. $15.8$
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B Correct answer
Explanation

Sum of 10 observations = 10 * 16.3 = 163. Correct sum = 163 - 32 + 23 = 154. Correct mean = 154 / 10 = 15.4.

AI explanation

Using the formula for the corrected mean, the total sum of the 10 observations is 16.3 times 10, which is 163. The correct sum requires subtracting the wrong value and adding the correct value, giving 163 minus 32 plus 23, resulting in a correct sum of 154. Dividing this correct sum of 154 by 10 gives a correct mean of 15.4.

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