A statistician collects the following height data in inches for a school district. The statistician says that it is a normal distribution. How did they draw this conclusion?

Question

When graphed, the data creates a bell curve.
When graphed, the data creates a straight line.
The frequencies for each height range are different
The frequencies for the first and last height range are the same.

Answer 1

The statistician most likely drew the conclusion that the height data follows a normal distribution because when graphed, the data creates a bell curve. A normal distribution is often characterized by a symmetrical bell-shaped curve, with the majority of the data falling around the mean and decreasing as it moves towards the extremes on either side. So, if the data form a bell curve when graphed, it suggests that the distribution is normal.