Q. 2.146 - Elementary Statistics

Question

Adjusted Gross Incomes. The Internal Revenue Service (IRS) publishes data on adjusted gross incomes in the document Siarisuics of Income, Individual Income Tax Reforms. The following relative-frequency histogram shows one year's individual income tax returns for adjusted gross incomes of less than  50,000.

Step-by-Step Solution

Answer

The distribution is right-skewed.

Step 1: Given Information

To determine whether the given 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 long tail of the distribution lies towards the higher values of the variate, as seen in the given figure , and the mean is greater than the median.