Multiple choice

The mean of a certain number of observations is $35$. What is the new value of the mean if each observation is increased by $20\%$.

  1. $35$
  2. $40$
  3. $42$

  4. None of these
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C Correct answer
Explanation

If every observation in a set is increased by a percentage, the mean also increases by that same percentage. 35 * 1.20 = 42.

AI explanation

When every observation in a data set is increased by a fixed percentage, the arithmetic mean also increases by that same percentage. Increasing the mean of 35 by 20 percent means multiplying 35 by 1.20, which gives a new mean of 42.

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