The Gini Index is a measure of how evenly income is distributed within a country, ranging from 0 to 100. An index of 0  suggests income is distributed with perfect equality. The higher the number, the worse the income inequality. The data below represent the Gini Index for a random sample of countries. The United States has a Gini Index of 45 and Sweden has the lowest Gini Index.

With a first class having a lower class limit of 20 and a class width of 5:
(a) Construct a frequency distribution.
(b) Construct a relative frequency distribution.
(c) Construct a frequency histogram of the data.
(d) Construct a relative frequency histogram of the data.
(e) Describe the shape of the distribution.
(f) Repeat parts (a)–(e) using a class width of 10.
(g) Does one frequency distribution provide a better summary of the data than the other? Explain.

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23.0 27.0 30.0 32.0 34.0 36.5 38.5 40.0 41.9 45.0 47.2 50.4 55.1 23.8 27.2 30.3 32.1 34.1 36.7 39.0 40.0 42.4 45.3 47.4 50.8 57.7 24.3 27.4 30.6 32.6 34.2 36.8 39.0 40.1 42.5 45.3 47.5 50.9 58.5 24.7 28.0 30.7 32.7 34.4 40.2 24.8 28.0 30.9 32.8 34.5 36.8 39.0 43.2 45.5 47.7 51.9 59.2 36.8 39.0 40.5 43.7 45.6 47.8 51.9 59.7 37.6 39.2 40.8 44.3 45.8 48.3 52.1 61.3. 49.0 53.0 62.9 25.0 28.2 30.9 33.0 35.2 26.0 28.2 31.0 33.2 35.3 37.6 39.4 40.9 44.5 46.0 26.0 28.9 31.3 33.2 35.5 37.6 39.4 41.3 44.6 46.2 50.1 53.2 63.0. 41.5 44.6 46.8 50.2 53.6 63.1 26.0 29.0 31.9 33.4 36.2 37.7 39.5 26.3 29.6 31.9 33.7 36.2 37.9 39.7 41.7 44.8 46.9 50.3 53.7 63.2 26.8 30.0 32.0 33.9 36.5 38.0.