Question

The histogram shows the heights of 300 randomly selected high school students. Which of the following is the best description of the shape of the distribution of the heights?

1) Symmetrical
2) Skewed to the left
3) Skewed to the right
4) Bimodal

Answer 1

The distribution of heights in the histogram is symmetrical.

Step-by-step explanation:

The histogram displays a symmetrical distribution of data. A distribution is symmetrical if a vertical line can be drawn at some point in the histogram such that the shape to the left and the right of the vertical line are mirror images of each other. The mean, the median, and the mode are each seven for these data. In a perfectly symmetrical distribution, the mean and the median are the same. This example has one mode (unimodal), and the mode is the same as the mean and median. In a symmetrical distribution that has two modes (bimodal), the two modes would be different from the mean and median.