Question 1: There Are 800 Students In The School Of Business

Question 1. There are 800 students in the School of Business Admi

Develop a raw and percent frequency distribution and construct a bar chart for raw frequency and a pie chart for percent frequency.

Paper For Above instruction

The objective of this report is to analyze the distribution of students across different majors within the School of Business Administration and to present the data through appropriate visualizations. The primary focus is on creating a comprehensive frequency distribution, both raw and percentage-based, and visual representations such as bar and pie charts to effectively communicate the student distribution.

The data provided indicates that the School of Business Administration has a total of 800 students enrolled across four majors: Accounting, Finance, Management, and Marketing. The specific number of students in each major is as follows:

  • Accounting: 240 students
  • Finance: 160 students
  • Management: 320 students
  • Marketing: 80 students

The total number of students sums up correctly to 800, confirming data consistency. To analyze this categorical data, first, we calculate the raw frequency distribution, which simply lists the number of students per major as given. Then, we compute the relative frequency, which expresses each major’s student count as a proportion of the total 800 students, effectively converting raw counts into percentages. This enables better comparison and understanding of the proportion of students in each discipline.

Creating Raw and Percent Frequency Distributions

The raw frequency distribution is directly derived from the data provided:

  • Accounting: 240 students
  • Finance: 160 students
  • Management: 320 students
  • Marketing: 80 students

Next, the relative frequency (or percent frequency) is calculated by dividing each count by the total number of students, 800, and multiplying by 100 to convert to percentage:

  • Accounting: (240/800) * 100 = 30%
  • Finance: (160/800) * 100 = 20%
  • Management: (320/800) * 100 = 40%
  • Marketing: (80/800) * 100 = 10%

This distribution indicates that Management has the largest proportion of students at 40%, followed by Accounting at 30%, Finance at 20%, and Marketing at 10%. Visualization through graphs enhances comprehension of these distributions.

Constructing the Bar Chart for Raw Frequency

A bar chart can visually represent the raw number of students in each major. Each bar corresponds to a major, with its height proportional to the number of students:

  • The x-axis represents the majors.
  • The y-axis reflects the number of students.
  • Bars are drawn with heights:
    • Accounting: 240 units
    • Finance: 160 units
    • Management: 320 units
    • Marketing: 80 units

This visual allows quick comparison of the sizes of each major's student body, highlighting that Management has the most students, whereas Marketing has the fewest.

Constructing the Pie Chart for Percent Frequency

The pie chart offers a circular representation segmented according to the percentage of students in each major. Each slice corresponds to the relative frequency calculated earlier:

  • Management: 40%
  • Accounting: 30%
  • Finance: 20%
  • Marketing: 10%

The pie segments are proportionally sized according to these percentages, providing an immediate visual impression of the distribution and dominance of the Management major within the student population.

Conclusion

Constructing both the frequency table and visual charts enables stakeholders to understand the distribution of students within the School of Business Administration effectively. The bar chart underscores the absolute numbers, highlighting management’s dominance, while the pie chart emphasizes proportions, illustrating the relative popularity of each major. These tools are essential for administrative planning, resource allocation, and strategic development within the school.

References

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At the end of the document, also include the appropriate citation of any sources used within the paper, formatted consistently in APA style.

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