Question

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. 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. The frequencies for each height range are different. When graphed, the data creates a bell curve. When graphed, the data creates a bell curve. Skip to navigation

Answer 1

The conclusion that the data follows a normal distribution is drawn from the shape of the frequencies when graphed. A normal distribution is characterized by a specific bell-shaped curve, where the majority of the data points cluster around the mean, tapering off symmetrically towards the extremes.

Among the provided responses, the one that best supports the conclusion of a normal distribution is:

When graphed, the data creates a bell curve.

This indicates that the data is symmetrically distributed around a central peak, which is a defining feature of a normal distribution. The other responses do not directly support the conclusion of normality.