The study involve the comparison of salaries between genders, male and female. The wages for the two groups was collected through sampling by collecting and recording the ID of the employee as well as their salary (in $). Numerous factors influence the gender pay gap. Some of these factors include discrimination and bias the hiring process and in the pay decisions. This study tries to determine whether the male salary is equal to the female salary and utilizes numerous statistical tests to find if there is a statistical difference between the salaries of the two groups. The data for the two groups was analyzed statistically where the male and female salaries mean, median, minimum salary, maximum salary, range, variance, standard deviation, first quartile, and third quartile was determined. Statistical charts such as histogram and box plots were used to present the data.
Hypothesis
Statistics Calculated
Men
|
Measures of Central Tendency |
|||
|
mean: |
60.1 |
||
|
median: |
59.8 |
||
|
Measures of Dispersion |
|||
|
min: |
28.5 |
||
|
max: |
94.5 |
||
|
range: |
66.0 |
||
|
variance(s): |
154.6498965 |
||
|
standard deviation(s): |
12.43583115 |
||
|
Q1: |
53.75 |
||
|
Q3: |
66.75 |
||
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Women
|
Measures of Central Tendency |
||
|
mean: |
52.1 |
|
|
median: |
52.5 |
|
|
Measures of Dispersion |
||
|
min: |
20.0 |
|
|
max: |
84.0 |
|
|
range: |
64.0 |
|
|
variance(s): |
143.2992236 |
|
|
standard deviation(s): |
11.97076537 |
|
|
Q1: |
44.375 |
|
|
Q3: |
59 |
|
Frequency Histograms
Men
|
Frequency Distribution |
|
|
# of classes: |
5 |
|
class width: |
13.2 |
| Class Intervals | Frequency | Class Boundary | Mid-Point |
| 28.5-41.7 |
6 |
28.45-41.75 |
35.1 |
| 41.8-55.0 |
15 |
41.75-55.05 |
48.4 |
| 55.2-68.4 |
34 |
55.15-68.45 |
61.8 |
| 68.5-81.7 |
12 |
68.45-81.75 |
75.1 |
| 81.8-95.0 |
3 |
81.75-95.05 |
88.4 |
|
Classes |
Bins (Upper Bounds) |
|||
|
up to |
||||
|
28.5 |
41.7 |
41.75 |
||
|
41.8 |
55.0 |
55.05 |
||
|
55.2 |
68.4 |
68.45 |
||
|
68.5 |
81.7 |
81.75 |
||
|
81.8 |
95.0 |
95.05 |
||
|
Bin |
Frequency |
Cumulative % |
|
41.75 |
6 |
8.57% |
|
55.05 |
15 |
30.00% |
|
68.45 |
34 |
78.57% |
|
81.75 |
12 |
95.71% |
|
95.05 |
3 |
100.00% |
Women
|
Frequency Distribution |
|
|
# of classes: |
5 |
|
class width: |
12.8 |
| Class Limits | Frequency | Class Boundaries | Mid-point | |
| 20-32.8 |
4 |
19.5-32.85 |
26.175 |
|
| 32.9-45.7 |
16 |
32.85-45.75 |
39.3 |
|
| 45.8-58.6 |
32 |
45.75-58.65 |
52.2 |
|
| 58.7-71.5 |
15 |
58.65-71.55 |
65.1 |
|
| 71.6-84.4 |
3 |
71.55-84.45 |
78 |
|
Classes |
Bins (Upper Bounds) |
|||
|
up to |
||||
|
20 |
32.8 |
32.85 |
||
|
32.9 |
45.7 |
45.75 |
||
|
45.8 |
58.6 |
58.65 |
||
|
58.7 |
71.5 |
71.55 |
||
|
71.6 |
84.4 |
84.45 |
||
|
Bin |
Frequency |
Cumulative % |
|
32.85 |
4 |
5.71% |
|
45.75 |
16 |
28.57% |
|
58.65 |
32 |
74.29% |
|
71.55 |
15 |
95.71% |
|
84.45 |
3 |
100.00% |
Box Plots
| Variable 1 (Men's Salary) | Variable 1 (Women's Salary) | |
| Min |
40.5 |
28.5 |
| Q1 |
54.125 |
44.375 |
| Median |
59.75 |
52.50 |
| Q3 |
66 |
59 |
| Max |
80.0 |
75.0 |
| Mean |
60.2 |
52.1 |
| Range |
39.5 |
46.5 |
| IQR |
11.875 |
14.625 |
| Q1-IQR |
42.25 |
29.75 |
| Q3+IQR |
77.875 |
73.625 |
Conclusion
The data analysis clearly shows that the mean for male salary is higher than that of women. From the histogram, we can conclude that the majority of men receive a salary ranging between $55.05 and $68.45 whereas the majority of women earn a pay ranging between $45.75 and $58.65. From the boxplots, we can conclude that the salary of men is higher compared to that of women. The salaries for men and women are entirely different and therefore we reject the null hypothesis and accept the alternative hypothesis since the salary of men is higher than that of women.
