Multiple choice

The mean of $27$ observations is $35$. If $5$ is subtracted from each observation, what will be the new mean?

  1. $28$
  2. $30$
  3. $32$
  4. $34$
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B Correct answer
Explanation

If a constant value is subtracted from every observation in a data set, the mean of the data set also decreases by that same constant value. Therefore, the new mean is 35 - 5 = 30.

AI explanation

The total sum of the 27 observations is 27 multiplied by 35, which equals 945. Using the property of averages, if a constant number is subtracted from every observation, the mean decreases by that same constant. Therefore, subtracting 5 from each observation gives a new mean of 35 minus 5, resulting in 30.

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