Multiple choice

Mean of $40$ observations was given as $160$.It was detected that $125$ was misread as $160$. Find the correct mean.

  1. $158$
  2. $169$
  3. $159$
  4. $161$
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C Correct answer
AI explanation

Using the formula for the mean, the incorrect sum of the observations is 40 multiplied by 160, which is 6400. To find the correct sum, subtract the incorrect value and add the correct value, giving 6400 minus 160 plus 125, resulting in 6365. The correct mean is 6365 divided by 40, which equals 159.125. This value rounds to the required result of 159.

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