Use the table to answer the following question.

Height Frequency of Students in Grades 10-12
Grade 10-12
Height Range 55-59 60-64 65-69 70-74
Frequency 4 9 8 4
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?

(1 point)
Responses

When graphed, the data creates a straight line.
When graphed, the data creates a straight line.

When graphed, the data creates a bell curve.
When graphed, the data creates a bell curve.

The frequencies for the first and last height range are the same.
The frequencies for the first and last height range are the same.

The frequencies for each height range are different.

1 answer

The correct response to how the statistician concluded that the data follows a normal distribution is:

When graphed, the data creates a bell curve.

A normal distribution typically results in a bell-shaped curve when the frequencies of different data ranges (in this case, height ranges) are plotted. This characteristic shape indicates that most of the data points are clustered around the mean, with fewer observations as you move away from the mean in either direction.