To determine how the statistician concluded that the height data follows a normal distribution, we need to consider the characteristics of a normal distribution.
A normal distribution is typically represented by a bell curve, where the frequencies increase as you approach the mean and then decrease symmetrically on the other side.
Given the options:
A. The frequencies for the first and last height range are the same.
B. When graphed, the data creates a bell curve.
C. The frequencies for each height range are different.
D. When graphed, the data creates a straight line.
The correct answer is B. When graphed, the data creates a bell curve. This option directly supports the conclusion of a normal distribution, as a bell curve is the characteristic shape of a normal distribution.