Q. 2.143 - Elementary Statistics

Question

The Court's Burrow. The subterranean color (Spalacopus cyan) is a social rodent that lives in large colonies in underground burrows that can reach lengths of up to 600 meters. Zoologists S. Begall and M. Gallardo studied the characteristics of the burrow systems of the subterranean color in central Chile and published their findings in the Journal of Zoology, Landen (Vol. 251, pp. 53-60). A sample of 51 burrows, whose depths were measured in centimeters, yielded the following frequency histogram.

Step-by-Step Solution

Answer

The distribution is skewed left.

Step 1: Given Information

To determine whether the graph is symmetric, right-skewed, or left-skewed.

Step 2: Explanation

Consider the given graph:

If the shape of any distribution is divided into two parts, one of which is the mirror image of the other, the distribution is said to be symmetric.

The graph in question cannot be divided into two equal halves, one of which is a mirror image of the other. As a result, the graph's shape is asymmetric.

The larger tail of the distribution lines to the left, and the mean are smaller than the median, as seen in the given figure.