Question

Normal Quantile Plot Data Set 1 “Body Data” in Appendix B includes the heights of 147 randomly selected women, and heights of women are normally distributed. If you were to construct a histogram of the 147 heights of women in Data Set 1, what shape do you expect the histogram to have? If you were to construct a normal quantile plot of those same heights, what pattern would you expect to see in the graph?

Short answer

The histogram of the 147 heights would be bell-shaped.

The normal quantile plot of the heights of 147 women will have points that follow a straight-line pattern.

Step-by-step solution

Given information

The heights of 147 women are normally distributed.

Shape of the normal distribution

When a set of data that is normally distributed is plotted on a histogram, the histogram is bell-shaped.

Here, the heights of women are normally distributed.

Thus, the histogram of the 147 heights would be bell-shaped.

Pattern of normal quantile plot

If a set of data that is normally distributed is plotted on a normal quantile plot, the points on the plot follow a straight-line pattern.

Here, the normal quantile plot of the heights of 147 women will have points that follow a straight-line pattern.