Descriptive Statistics Final Paper Wages and Earners

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Descriptive Statistics Paper
Tomika Coleman, Antoinette Deleon, Scott Koerning, Alex Lopez RES?341
December 20, 2010
Elaine Raby

Descriptive Statistics Paper
The wages and wage earners data reports experienced a disparity between men and women. There are multiple reasons why wage disparities exist between men and women. The research conducted by the team will determine why these disparities exist. This paper originates on information of data coming together between both groups. The central tendency, dispersion, and skew data will be examined. In order for the team to calculate the measure of central tendency we will measure an adequate sample or population that will represent a true mean. The measure of central tendency will provide a better representation of the sampled mean. The dispersion of data is also important when understanding the representation of the sampled mean. The measure of dispersion will help the team derive at a more accurate conclusion. The measures of central tendency and dispersion used in the analysis will provide adequate information and the representation of skewed data will be examined to ensure that the information provided is unbiased and error free. Also the skewed data will be used to sample the histogram and frequency distribution Frequency Distribution and Histogram

The histogram generated by the number of female workers per wage range showed women to be more frequently displayed in the lower wage bracket. The histogram represents a total of 9 intervals: Less than 10 thousand dollars; between 10 and 20 thousand dollars; between 20 and 30 thousand dollars; between 30 and 40 thousand dollars; between 40 and 50 thousand dollars; between 60 and 70 thousand dollars; between 70 and 80 thousand dollars, and above 80 thousand dollars.

Frequency Distribution - Quantitative| | | | | |
| | | | | | | | | | |
|  | Wage|  |  |  |  |  | cumulative| |
| lower| | upper| midpoint| width| frequency| percent | frequency| percent| | | 0 | <| 10,000 | 5,000 | 10,000 | 1 | 1.0 | 1 | 1.0 | | | 10,000 | <| 20,000 | 15,000 | 10,000 | 32 | 32.0 | 33 | 33.0 | | | 20,000 | <| 30,000 | 25,000 | 10,000 | 23 | 23.0 | 56 | 56.0 | | | 30,000 | <| 40,000 | 35,000 | 10,000 | 24 | 24.0 | 80 | 80.0 | | | 40,000 | <| 50,000 | 45,000 | 10,000 | 6 | 6.0 | 86 | 86.0 | | | 50,000 | <| 60,000 | 55,000 | 10,000 | 6 | 6.0 | 92 | 92.0 | | | 60,000 | <| 70,000 | 65,000 | 10,000 | 4 | 4.0 | 96 | 96.0 | | | 70,000 | <| 80,000 | 75,000 | 10,000 | 1 | 1.0 | 97 | 97.0 | | | 80,000 | <| 90,000 | 85,000 | 10,000 | 3 | 3.0 | 100 | 100.0 | | | | | | | | | | | | |

| | | | | | 100 | 100.0 | | | |

From the 100 workers, 47 were women among, which 44 were distributed within the lower end of the wage spectrum, making 93.6% of the total female workers. Only 2 women were making more than 50 thousand dollars a year; only 6.4% of the total female workers. Only one woman was in the range above 80 thousand dollars.

Figure 3: Histogram of distribution of female workers among the 9 wage intervals.
In the graph female workers are compared against the total number of workers in each wage interval, the discrepancy of wages are more revealed and demonstrates that women still make less money than men in the United States in general. The only worker in the range below 10 thousand dollars was a woman. Starting from there, 100% of the workers in that range were women. In the second lowest wage interval, there were 32 women against 20 men, totaling 63% of female workers making between 10 and 20 thousand dollars. Women represented 52% of the workers making between 20 and 30 thousand; 23 out of 35 workers were women. Women also represented 50% of the workers in the 30...
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