The ages (in years) of 10 randomly selected individuals are 24, 15, 18, 30, 32, 40, 22, 27, 33, and 35. Form a new dataset by replacing the maximum age with 50. In years, how much higher is the mean of the new dataset than the mean of the original dataset?(1 point).

Answer 1

The original dataset has a mean of $(24+15+18+30+32+40+22+27+33+35)/10=276/10=27.6$.

After replacing the maximum age with 50, the new dataset becomes (24, 15, 18, 30, 32, 40, 22, 27, 33, 50).

The new dataset has a mean of $(24+15+18+30+32+40+22+27+33+50)/10=311/10=31.1$.

The mean of the new dataset is $31.1-27.6=\boxed{3.5}$ higher than the mean of the original dataset.